| Uncertainty-scaled detection floors versus length gates for road descents from noisy elevation profiles | Statistics | Open | | |
| Chromatic number of the circulant graph C(1483; 1, 2, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1481; 1, 12, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1471; 1, 11, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1459; 1, 10, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1453; 1, 9, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1451; 1, 8, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1447; 1, 7, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1439; 1, 6, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1433; 1, 5, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1429; 1, 4, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1427; 1, 3, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1423; 1, 2, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1409; 1, 12, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1399; 1, 11, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1381; 1, 10, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1373; 1, 9, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1367; 1, 8, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1361; 1, 7, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1327; 1, 6, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1321; 1, 5, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1319; 1, 4, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1307; 1, 3, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1303; 1, 2, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1301; 1, 12, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1297; 1, 11, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1291; 1, 10, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1289; 1, 9, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1283; 1, 8, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1279; 1, 7, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1277; 1, 6, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1259; 1, 5, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1249; 1, 4, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1237; 1, 3, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1231; 1, 2, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1229; 1, 12, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1223; 1, 11, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1217; 1, 10, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1213; 1, 9, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1201; 1, 8, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1193; 1, 7, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1187; 1, 6, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1181; 1, 5, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1171; 1, 4, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1163; 1, 3, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1153; 1, 2, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1151; 1, 12, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1129; 1, 11, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1123; 1, 10, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1117; 1, 9, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1109; 1, 8, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1103; 1, 7, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1097; 1, 6, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1093; 1, 5, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1091; 1, 4, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1087; 1, 3, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1069; 1, 2, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1063; 1, 12, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1061; 1, 11, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1051; 1, 10, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1049; 1, 9, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1039; 1, 8, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1033; 1, 7, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1031; 1, 6, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1021; 1, 5, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1019; 1, 4, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1013; 1, 3, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(1009; 1, 2, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(997; 1, 12, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(991; 1, 11, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(983; 1, 10, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(977; 1, 9, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(971; 1, 8, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(967; 1, 7, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(953; 1, 6, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(947; 1, 5, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(941; 1, 4, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(937; 1, 3, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(929; 1, 2, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(919; 1, 12, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(911; 1, 11, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(907; 1, 10, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(887; 1, 9, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(883; 1, 8, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(881; 1, 7, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(877; 1, 6, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(863; 1, 5, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(859; 1, 4, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(857; 1, 3, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(853; 1, 2, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(839; 1, 12, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(829; 1, 11, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(827; 1, 10, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(823; 1, 9, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(821; 1, 8, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(811; 1, 7, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(809; 1, 6, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(797; 1, 5, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(787; 1, 4, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(773; 1, 3, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(769; 1, 2, 14) | Graph theory | Open | | |
| Clique number of the Paley graph of order 3137 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3121 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3109 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3089 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3061 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3041 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3049 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3037 | Graph theory | Open | | |
| Clique number of the Paley graph of order 3001 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2969 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2957 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2917 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2953 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2909 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2897 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2861 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2857 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2837 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2833 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2801 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2797 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2777 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2789 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2753 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2749 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2741 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2729 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2713 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2693 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2689 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2677 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2657 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2633 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2621 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2617 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2609 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2593 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2557 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2549 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2521 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2477 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2473 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2441 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2393 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2417 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2437 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2381 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2389 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2357 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2377 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2341 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2333 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2309 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2297 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2293 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2281 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2273 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2269 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2237 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2221 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2213 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2161 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2153 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2141 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2137 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2129 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2113 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2089 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2081 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2069 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2053 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2029 | Graph theory | Open | | |
| Clique number of the Paley graph of order 2017 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1997 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1993 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1973 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1949 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1933 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1901 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1913 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1889 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1877 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1873 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1861 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1801 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1789 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1777 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1753 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1741 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1733 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1721 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1709 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1697 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1693 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1669 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1657 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1637 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1621 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1613 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1609 | Graph theory | Open | | |
| Exact value of A(163, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(162, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(161, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(160, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(159, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(158, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(157, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(156, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(155, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(154, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(153, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(152, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(151, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(150, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(149, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(148, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(147, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(145, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(146, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(144, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(143, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(142, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(141, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(140, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(139, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(138, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(136, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(137, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(135, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(134, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(133, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(132, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(131, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(130, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(129, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(128, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(127, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(126, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(125, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(124, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(123, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(122, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(121, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(120, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(119, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(118, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(117, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(116, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(114, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(115, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(113, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(112, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(111, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(110, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(109, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(108, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(107, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(106, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(105, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(104, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(103, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(102, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(101, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(100, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(99, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(98, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(97, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(96, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(95, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(94, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(93, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(92, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(91, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(90, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(89, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(88, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(87, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(86, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(85, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(84, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(83, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(82, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(81, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(80, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(79, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(78, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(77, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(76, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(75, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(74, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(73, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(72, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(71, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(70, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(69, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Domination number of the 45 by 50 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 45 by 49 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 45 by 48 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 45 by 47 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 45 by 46 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 44 by 49 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 44 by 48 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 44 by 47 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 44 by 46 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 44 by 45 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 43 by 48 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 43 by 47 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 43 by 46 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 43 by 45 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 43 by 44 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 42 by 47 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 42 by 46 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 42 by 45 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 42 by 44 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 42 by 43 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 41 by 46 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 41 by 45 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 41 by 44 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 41 by 43 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 41 by 42 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 40 by 45 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 40 by 44 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 40 by 43 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 40 by 42 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 40 by 41 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 39 by 43 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 39 by 44 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 39 by 41 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 39 by 42 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 39 by 40 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 38 by 43 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 38 by 42 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 38 by 41 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 38 by 40 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 38 by 39 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 37 by 42 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 37 by 41 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 37 by 40 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 37 by 39 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 37 by 38 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 36 by 41 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 36 by 40 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 36 by 39 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 36 by 38 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 36 by 37 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 35 by 40 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 35 by 39 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 35 by 38 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 35 by 36 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 35 by 37 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 34 by 39 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 34 by 38 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 34 by 37 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 34 by 36 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 34 by 35 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 33 by 38 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 33 by 37 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 33 by 36 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 33 by 35 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 33 by 34 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 32 by 37 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 32 by 36 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 32 by 35 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 32 by 34 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 32 by 33 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 31 by 36 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 31 by 35 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 31 by 34 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 31 by 33 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 31 by 32 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 30 by 35 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 30 by 34 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 30 by 33 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 30 by 32 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 30 by 31 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 29 by 34 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 29 by 33 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 29 by 32 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 29 by 31 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 29 by 30 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 28 by 33 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 28 by 32 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 28 by 31 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 28 by 30 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 28 by 29 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 27 by 32 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 27 by 31 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 27 by 30 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 27 by 29 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 27 by 28 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 26 by 31 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 26 by 30 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 26 by 29 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 26 by 28 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 26 by 27 toroidal knight graph | Graph theory | Open | | |
| Independence number of the circulant graph C(1277; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(1259; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(1249; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(1237; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(1229; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(1231; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(1223; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(1217; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(1213; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(1201; 1, 2) | Graph theory | Open | | |
| Independence number of the circulant graph C(1193; 1, 31) | Graph theory | Open | | |
| Independence number of the circulant graph C(1187; 1, 30) | Graph theory | Open | | |
| Independence number of the circulant graph C(1181; 1, 29) | Graph theory | Open | | |
| Independence number of the circulant graph C(1171; 1, 28) | Graph theory | Open | | |
| Independence number of the circulant graph C(1163; 1, 27) | Graph theory | Open | | |
| Independence number of the circulant graph C(1153; 1, 26) | Graph theory | Open | | |
| Independence number of the circulant graph C(1151; 1, 25) | Graph theory | Open | | |
| Independence number of the circulant graph C(1129; 1, 24) | Graph theory | Open | | |
| Independence number of the circulant graph C(1123; 1, 23) | Graph theory | Open | | |
| Independence number of the circulant graph C(1117; 1, 22) | Graph theory | Open | | |
| Independence number of the circulant graph C(1109; 1, 21) | Graph theory | Open | | |
| Independence number of the circulant graph C(1103; 1, 20) | Graph theory | Open | | |
| Independence number of the circulant graph C(1097; 1, 19) | Graph theory | Open | | |
| Independence number of the circulant graph C(1093; 1, 18) | Graph theory | Open | | |
| Independence number of the circulant graph C(1091; 1, 17) | Graph theory | Open | | |
| Independence number of the circulant graph C(1087; 1, 16) | Graph theory | Open | | |
| Independence number of the circulant graph C(1069; 1, 15) | Graph theory | Open | | |
| Independence number of the circulant graph C(1063; 1, 14) | Graph theory | Open | | |
| Exact value of A(68, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(67, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(66, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Independence number of the circulant graph C(1061; 1, 13) | Graph theory | Open | | |
| Exact value of A(65, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(64, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Independence number of the circulant graph C(1051; 1, 12) | Graph theory | Open | | |
| Independence number of the circulant graph C(1049; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(1039; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(1033; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(1031; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(1019; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(1021; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(1013; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(1009; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(997; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(991; 1, 2) | Graph theory | Open | | |
| Independence number of the circulant graph C(983; 1, 31) | Graph theory | Open | | |
| Independence number of the circulant graph C(977; 1, 30) | Graph theory | Open | | |
| Independence number of the circulant graph C(971; 1, 29) | Graph theory | Open | | |
| Independence number of the circulant graph C(967; 1, 28) | Graph theory | Open | | |
| Independence number of the circulant graph C(953; 1, 27) | Graph theory | Open | | |
| Independence number of the circulant graph C(947; 1, 26) | Graph theory | Open | | |
| Independence number of the circulant graph C(941; 1, 25) | Graph theory | Open | | |
| Independence number of the circulant graph C(937; 1, 24) | Graph theory | Open | | |
| Independence number of the circulant graph C(929; 1, 23) | Graph theory | Open | | |
| Independence number of the circulant graph C(919; 1, 22) | Graph theory | Open | | |
| Independence number of the circulant graph C(911; 1, 21) | Graph theory | Open | | |
| Independence number of the circulant graph C(907; 1, 20) | Graph theory | Open | | |
| Independence number of the circulant graph C(887; 1, 19) | Graph theory | Open | | |
| Independence number of the circulant graph C(883; 1, 18) | Graph theory | Open | | |
| Independence number of the circulant graph C(881; 1, 17) | Graph theory | Open | | |
| Independence number of the circulant graph C(877; 1, 16) | Graph theory | Open | | |
| Independence number of the circulant graph C(863; 1, 15) | Graph theory | Open | | |
| Independence number of the circulant graph C(859; 1, 14) | Graph theory | Open | | |
| Independence number of the circulant graph C(857; 1, 13) | Graph theory | Open | | |
| Independence number of the circulant graph C(853; 1, 12) | Graph theory | Open | | |
| Independence number of the circulant graph C(839; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(829; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(823; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(827; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(821; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(811; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(809; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(797; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(787; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(773; 1, 2) | Graph theory | Open | | |
| Independence number of the circulant graph C(769; 1, 31) | Graph theory | Open | | |
| Independence number of the circulant graph C(761; 1, 30) | Graph theory | Open | | |
| Independence number of the circulant graph C(757; 1, 29) | Graph theory | Open | | |
| Independence number of the circulant graph C(751; 1, 28) | Graph theory | Open | | |
| Independence number of the circulant graph C(743; 1, 27) | Graph theory | Open | | |
| Independence number of the circulant graph C(739; 1, 26) | Graph theory | Open | | |
| Independence number of the circulant graph C(733; 1, 25) | Graph theory | Open | | |
| Independence number of the circulant graph C(727; 1, 24) | Graph theory | Open | | |
| Independence number of the circulant graph C(719; 1, 23) | Graph theory | Open | | |
| Independence number of the circulant graph C(709; 1, 22) | Graph theory | Open | | |
| Independence number of the circulant graph C(701; 1, 21) | Graph theory | Open | | |
| Independence number of the circulant graph C(691; 1, 20) | Graph theory | Open | | |
| Independence number of the circulant graph C(683; 1, 19) | Graph theory | Open | | |
| Independence number of the circulant graph C(677; 1, 18) | Graph theory | Open | | |
| Independence number of the circulant graph C(673; 1, 17) | Graph theory | Open | | |
| Independence number of the circulant graph C(659; 1, 15) | Graph theory | Open | | |
| Independence number of the circulant graph C(661; 1, 16) | Graph theory | Open | | |
| Independence number of the circulant graph C(653; 1, 14) | Graph theory | Open | | |
| Independence number of the circulant graph C(647; 1, 13) | Graph theory | Open | | |
| Independence number of the circulant graph C(641; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(643; 1, 12) | Graph theory | Open | | |
| Independence number of the circulant graph C(631; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(619; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(617; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(613; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(607; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(601; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(599; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(593; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(587; 1, 2) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(761; 1, 8, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(757; 1, 7, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(751; 1, 6, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(743; 1, 5, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(739; 1, 4, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(733; 1, 3, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(727; 1, 2, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(719; 1, 12, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(709; 1, 11, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(701; 1, 10, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(691; 1, 9, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(683; 1, 8, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(677; 1, 7, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(673; 1, 6, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(661; 1, 5, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(659; 1, 4, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(653; 1, 3, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(647; 1, 2, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(643; 1, 12, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(641; 1, 11, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(631; 1, 10, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(619; 1, 9, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(617; 1, 8, 14) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(613; 1, 7, 30) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(607; 1, 6, 29) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(601; 1, 5, 28) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(599; 1, 4, 27) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(593; 1, 3, 26) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(587; 1, 2, 25) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(577; 1, 12, 24) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(571; 1, 11, 23) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(569; 1, 10, 22) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(563; 1, 9, 21) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(557; 1, 8, 20) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(547; 1, 7, 19) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(541; 1, 6, 18) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(521; 1, 4, 16) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(523; 1, 5, 17) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(509; 1, 3, 15) | Graph theory | Open | | |
| Chromatic number of the circulant graph C(503; 1, 2, 14) | Graph theory | Open | | |
| Clique number of the Paley graph of order 1601 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1597 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1553 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1493 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1549 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1489 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1453 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1481 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1433 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1429 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1409 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1381 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1373 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1361 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1321 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1301 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1297 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1289 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1277 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1249 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1237 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1229 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1217 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1213 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1193 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1201 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1181 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1153 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1129 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1117 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1109 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1097 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1069 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1093 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1061 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1049 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1033 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1021 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1013 | Graph theory | Open | | |
| Clique number of the Paley graph of order 1009 | Graph theory | Open | | |
| Exact value of A(63, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(62, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(61, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(60, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(59, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(58, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(56, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(57, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(55, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(54, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(53, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(52, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(51, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(50, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(49, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(48, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(47, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(46, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(45, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(44, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(42, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(43, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(41, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(40, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(39, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(38, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(37, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(36, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(35, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(34, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(33, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(31, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(32, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(30, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(29, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(27, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(28, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(26, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(25, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Exact value of A(24, 6, 4) for binary constant-weight codes | Coding theory | Open | | |
| Domination number of the 25 by 30 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 25 by 29 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 25 by 28 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 25 by 27 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 25 by 26 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 24 by 29 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 24 by 28 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 24 by 27 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 24 by 26 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 24 by 25 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 23 by 28 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 23 by 27 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 23 by 26 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 23 by 25 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 23 by 24 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 22 by 27 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 22 by 26 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 22 by 25 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 22 by 24 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 22 by 23 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 21 by 26 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 21 by 25 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 21 by 24 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 21 by 23 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 21 by 22 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 20 by 25 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 20 by 24 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 20 by 23 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 20 by 22 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 20 by 21 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 19 by 24 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 19 by 23 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 19 by 22 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 19 by 21 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 19 by 20 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 18 by 23 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 18 by 22 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 18 by 21 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 18 by 20 toroidal knight graph | Graph theory | Open | | |
| Domination number of the 18 by 19 toroidal knight graph | Graph theory | Open | | |
| Independence number of the circulant graph C(577; 1, 21) | Graph theory | Open | | |
| Independence number of the circulant graph C(571; 1, 20) | Graph theory | Open | | |
| Independence number of the circulant graph C(569; 1, 19) | Graph theory | Open | | |
| Independence number of the circulant graph C(563; 1, 18) | Graph theory | Open | | |
| Independence number of the circulant graph C(557; 1, 17) | Graph theory | Open | | |
| Independence number of the circulant graph C(547; 1, 16) | Graph theory | Open | | |
| Independence number of the circulant graph C(541; 1, 15) | Graph theory | Open | | |
| Independence number of the circulant graph C(523; 1, 14) | Graph theory | Open | | |
| Independence number of the circulant graph C(521; 1, 13) | Graph theory | Open | | |
| Independence number of the circulant graph C(509; 1, 12) | Graph theory | Open | | |
| Independence number of the circulant graph C(503; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(499; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(491; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(487; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(479; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(467; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(463; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(461; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(457; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(449; 1, 2) | Graph theory | Open | | |
| Independence number of the circulant graph C(443; 1, 21) | Graph theory | Open | | |
| Independence number of the circulant graph C(439; 1, 20) | Graph theory | Open | | |
| Independence number of the circulant graph C(433; 1, 19) | Graph theory | Open | | |
| Independence number of the circulant graph C(431; 1, 18) | Graph theory | Open | | |
| Independence number of the circulant graph C(421; 1, 17) | Graph theory | Open | | |
| Independence number of the circulant graph C(419; 1, 16) | Graph theory | Open | | |
| Independence number of the circulant graph C(409; 1, 15) | Graph theory | Open | | |
| Independence number of the circulant graph C(401; 1, 14) | Graph theory | Open | | |
| Independence number of the circulant graph C(397; 1, 13) | Graph theory | Open | | |
| Independence number of the circulant graph C(389; 1, 12) | Graph theory | Open | | |
| Independence number of the circulant graph C(383; 1, 11) | Graph theory | Open | | |
| Independence number of the circulant graph C(379; 1, 10) | Graph theory | Open | | |
| Independence number of the circulant graph C(373; 1, 9) | Graph theory | Open | | |
| Independence number of the circulant graph C(367; 1, 8) | Graph theory | Open | | |
| Independence number of the circulant graph C(359; 1, 7) | Graph theory | Open | | |
| Independence number of the circulant graph C(353; 1, 6) | Graph theory | Open | | |
| Independence number of the circulant graph C(349; 1, 5) | Graph theory | Open | | |
| Independence number of the circulant graph C(347; 1, 4) | Graph theory | Open | | |
| Independence number of the circulant graph C(337; 1, 3) | Graph theory | Open | | |
| Independence number of the circulant graph C(331; 1, 2) | Graph theory | Open | | |
| Exact C4-free extremal number on 70 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 69 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 67 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 68 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 64 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 65 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 66 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 62 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 63 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 61 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 60 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 59 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 58 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 56 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 55 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 54 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 53 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 52 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 51 vertices | Combinatorics | Open | | |
| Exact C4-free extremal number on 50 vertices | Combinatorics | Open | | |
| Rectilinear crossing number of K_48 | Geometry | Open | | |
| Rectilinear crossing number of K_47 | Geometry | Open | | |
| Rectilinear crossing number of K_46 | Geometry | Open | | |
| Rectilinear crossing number of K_45 | Geometry | Open | | |
| Rectilinear crossing number of K_43 | Geometry | Open | | |
| Rectilinear crossing number of K_44 | Geometry | Open | | |
| Rectilinear crossing number of K_42 | Geometry | Open | | |
| Rectilinear crossing number of K_41 | Geometry | Open | | |
| Rectilinear crossing number of K_38 | Geometry | Open | | |
| Rectilinear crossing number of K_39 | Geometry | Open | | |
| Rectilinear crossing number of K_40 | Geometry | Open | | |
| Rectilinear crossing number of K_36 | Geometry | Open | | |
| Rectilinear crossing number of K_37 | Geometry | Open | | |
| Rectilinear crossing number of K_34 | Geometry | Open | | |
| Rectilinear crossing number of K_35 | Geometry | Open | | |
| Rectilinear crossing number of K_33 | Geometry | Open | | |
| Rectilinear crossing number of K_32 | Geometry | Open | | |
| Rectilinear crossing number of K_31 | Geometry | Open | | |
| Rectilinear crossing number of K_30 | Geometry | Open | | |
| Rectilinear crossing number of K_29 | Geometry | Open | | |
| Exact Ramsey number R(4,29) | Combinatorics | Open | | |
| Exact Ramsey number R(4,28) | Combinatorics | Open | | |
| Exact Ramsey number R(4,27) | Combinatorics | Open | | |
| Exact Ramsey number R(4,26) | Combinatorics | Open | | |
| Exact Ramsey number R(4,25) | Combinatorics | Open | | |
| Exact Ramsey number R(4,24) | Combinatorics | Open | | |
| Exact Ramsey number R(4,23) | Combinatorics | Open | | |
| Exact Ramsey number R(4,22) | Combinatorics | Open | | |
| Exact Ramsey number R(4,21) | Combinatorics | Open | | |
| Exact Ramsey number R(4,20) | Combinatorics | Open | | |
| Exact Ramsey number R(4,19) | Combinatorics | Open | | |
| Exact Ramsey number R(4,18) | Combinatorics | Open | | |
| Exact Ramsey number R(4,17) | Combinatorics | Open | | |
| Exact Ramsey number R(4,16) | Combinatorics | Open | | |
| Exact Ramsey number R(4,15) | Combinatorics | Open | | |
| Exact Ramsey number R(4,14) | Combinatorics | Open | | |
| Exact Ramsey number R(4,13) | Combinatorics | Open | | |
| Exact Ramsey number R(4,12) | Combinatorics | Open | | |
| Exact Ramsey number R(4,11) | Combinatorics | Open | | |
| Exact Ramsey number R(4,10) | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 97 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 93 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 89 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 85 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 81 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 65 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 69 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 73 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 77 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 45 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 49 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 53 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 57 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 61 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 41 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 117 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 109 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 113 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 101 | Combinatorics | Open | | |
| Maximum determinant of a sign matrix of order 105 | Combinatorics | Open | | |
| Exact kissing number in dimension 44 | Geometry | Open | | |
| Exact kissing number in dimension 43 | Geometry | Open | | |
| Exact kissing number in dimension 41 | Geometry | Open | | |
| Exact kissing number in dimension 42 | Geometry | Open | | |
| Exact kissing number in dimension 40 | Geometry | Open | | |
| Exact kissing number in dimension 39 | Geometry | Open | | |
| Exact kissing number in dimension 38 | Geometry | Open | | |
| Exact kissing number in dimension 37 | Geometry | Open | | |
| Exact kissing number in dimension 36 | Geometry | Open | | |
| Exact kissing number in dimension 35 | Geometry | Open | | |
| Exact kissing number in dimension 33 | Geometry | Open | | |
| Exact kissing number in dimension 34 | Geometry | Open | | |
| Exact kissing number in dimension 32 | Geometry | Open | | |
| Exact kissing number in dimension 30 | Geometry | Open | | |
| Exact kissing number in dimension 31 | Geometry | Open | | |
| Exact kissing number in dimension 29 | Geometry | Open | | |
| Exact kissing number in dimension 25 | Geometry | Open | | |
| Exact kissing number in dimension 26 | Geometry | Open | | |
| Exact kissing number in dimension 27 | Geometry | Open | | |
| Exact kissing number in dimension 28 | Geometry | Open | | |
| Degree-diameter maximum for degree 4 and diameter 9 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 17 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 8 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 15 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 16 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 13 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 14 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 8 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 9 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 10 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 11 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 4 and diameter 12 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 14 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 15 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 16 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 17 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 10 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 11 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 12 | Combinatorics | Open | | |
| Degree-diameter maximum for degree 3 and diameter 13 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 30 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 31 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 32 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 33 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 34 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 25 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 26 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 27 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 28 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 29 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 21 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 22 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 23 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 24 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 18 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 19 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 20 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 17 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 16 | Combinatorics | Open | | |
| Exact order of a cubic cage of girth 15 | Combinatorics | Open | | |
| Exact covering number C(39,5,3) | Combinatorics | Open | | |
| Exact covering number C(38,5,3) | Combinatorics | Open | | |
| Exact covering number C(37,5,3) | Combinatorics | Open | | |
| Exact covering number C(36,5,3) | Combinatorics | Open | | |
| Exact covering number C(35,5,3) | Combinatorics | Open | | |
| Exact covering number C(34,5,3) | Combinatorics | Open | | |
| Exact covering number C(33,5,3) | Combinatorics | Open | | |
| Exact covering number C(32,5,3) | Combinatorics | Open | | |
| Exact covering number C(31,5,3) | Combinatorics | Open | | |
| Exact covering number C(30,5,3) | Combinatorics | Open | | |
| Exact covering number C(29,5,3) | Combinatorics | Open | | |
| Exact covering number C(28,5,3) | Combinatorics | Open | | |
| Exact covering number C(27,5,3) | Combinatorics | Open | | |
| Exact covering number C(26,5,3) | Combinatorics | Open | | |
| Exact covering number C(25,5,3) | Combinatorics | Open | | |
| Exact covering number C(24,5,3) | Combinatorics | Open | | |
| Exact covering number C(21,5,3) | Combinatorics | Open | | |
| Exact covering number C(22,5,3) | Combinatorics | Open | | |
| Exact covering number C(23,5,3) | Combinatorics | Open | | |
| Exact covering number C(20,5,3) | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 35 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 34 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 33 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 32 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 31 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 30 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 29 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 27 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 28 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 26 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 25 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 24 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 23 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 22 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 21 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 20 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 18 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 19 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 17 factors | Combinatorics | Open | | |
| Exact binary strength-three covering array number for 16 factors | Combinatorics | Open | | |
| Exact constant-weight code number A(43,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(42,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(41,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(40,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(39,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(38,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(37,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(36,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(35,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(34,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(33,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(32,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(31,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(30,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(29,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(28,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(27,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(26,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(25,8,8) | Combinatorics | Open | | |
| Exact constant-weight code number A(24,8,8) | Combinatorics | Open | | |
| Exact size of a binary length-55 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-56 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-51 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-52 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-53 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-54 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-50 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-49 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-48 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-47 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-45 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-46 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-44 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-43 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-42 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-41 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-40 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-39 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-38 code with minimum distance 6 | Combinatorics | Open | | |
| Exact size of a binary length-37 code with minimum distance 6 | Combinatorics | Open | | |
| Maximum number of three-term progressions in an 8-subset of Z/19Z | Additive combinatorics | Open | | |
| Outer order automorphisms of Dlab groups | Group theory | Open | | |
| Distributive lattices of right-relatively convex subgroups | Group theory | Open | | |
| Embedding groups of type F into higher finiteness types | Group theory | Open | | |
| Quasi-isometry types involving Thompson’s group F | Group theory | Open | | |
| Subgroups of Thompson’s group F | Group theory | Open | | |
| Automaticity of Thompson’s group F | Group theory | Open | | |
| Coherence of free pro-p products with amalgamation | Group theory | Open | | |
| Type F-infinity at infinite cohomological dimension | Group theory | Open | | |
| Virtual freeness or surface structure from bounded Betti numbers | Group theory | Open | | |
| Subgroup structure of finitely presented groups | Group theory | Open | | |
| Power subgroups in finite p-groups | Group theory | Open | | |
| Conjugacy classes in profinite groups | Group theory | Open | | |
| Character degrees and trivial solvable radicals | Group theory | Open | | |
| Local subnormal abelian series | Group theory | Open | | |
| Residually finite p-groups with finite centre | Group theory | Open | | |
| Subgroups of Golod groups mapping onto infinite AT-groups | Group theory | Open | | |
| Factorizations of odd-order abelian groups | Group theory | Open | | |
| Quasi-isometry of spherical-type Artin groups | Group theory | Open | | |
| Commensurability of the spherical Artin groups F4 and H4 | Group theory | Open | | |
| Stable commutator length in right-angled Artin groups | Group theory | Open | | |
| Finitely presented subgroups of right-angled Artin groups | Group theory | Open | | |
| Mapping tori of free-group automorphisms | Group theory | Open | | |
| Virtual specialness of CAT(0) free-by-cyclic groups | Group theory | Open | | |
| Cardinality of verbal subgroups in profinite groups | Group theory | Open | | |
| Jordan properties at a fixed prime | Group theory | Open | | |
| Finite-index kernels with prescribed homomorphisms | Group theory | Open | | |
| Quotients of residually finite groups by amenable kernels | Group theory | Open | | |
| Bounded acyclicity of branch groups | Group theory | Open | | |
| Weakly ab-maximal finite groups | Group theory | Open | | |
| Complete classes of finite groups | Group theory | Open | | |
| Tau-automorphisms of finite simple groups | Group theory | Open | | |
| Derived length from character-degree counts | Group theory | Open | | |
| Character codegrees of finite groups | Group theory | Open | | |
| Disjoint Folner sequences in topological groups | Group theory | Open | | |
| First-order descriptions of group elements | Group theory | Open | | |
| Concise words in residually finite groups | Group theory | Open | | |
| Minimal topological groups and semidirect products | Group theory | Open | | |
| Almost simple automorphism groups of regular maps | Group theory | Open | | |
| Multilinear commutator values covered by cyclic subgroups | Group theory | Open | | |
| Periodic groups with locally finite even centralizers | Group theory | Open | | |
| Almost simple groups recognizable by prime graphs | Group theory | Open | | |
| Brauer-character counts and group structure | Group theory | Open | | |
| A diameter-three Q-polynomial distance-regular graph | Group theory | Open | | |
| The sofic group problem | Group theory | Open | | |
| Flexible permutation stability implies permutation stability | Group theory | Open | | |
| Simple characteristic quotients of free groups | Group theory | Open | | |
| Left-orderable groups with one nontrivial conjugacy class | Group theory | Open | | |
| The conjugacy problem in the class-transposition group | Group theory | Open | | |
| Amenable torsion-free and prime-exponent Tarski monsters | Group theory | Open | | |
| Integral Poincare duality from duality over every field | Group theory | Open | | |
| Deciding hyperbolicity for one-relator groups | Group theory | Open | | |
| Recognition of finite semi-abelian groups | Group theory | Open | | |
| Automorphisms with small centralizers in soluble groups | Group theory | Open | | |
| Normal subgroups of Sylow subgroups in p-soluble groups | Group theory | Open | | |
| Uniform subgroup membership for free-by-cyclic groups | Group theory | Open | | |
| Presentations of finitely generated free-by-cyclic subgroups | Group theory | Open | | |
| Character-degree multisets of almost simple groups | Group theory | Open | | |
| Characteristic subgroups of finite 3-groups | Group theory | Open | | |
| Automorphism groups of acylindrically hyperbolic groups | Group theory | Open | | |
| Unbounded quasimorphisms and free subgroups | Group theory | Open | | |
| Finitely presented groups isomorphic to a proper direct product | Group theory | Open | | |
| Cohomological dimension of finitely presented simple groups | Group theory | Open | | |
| Generator rank of finitely presented infinite simple groups | Group theory | Open | | |
| Dense subgroups of iterated alternating wreath products | Group theory | Open | | |
| Non-self-similar three-generator nilpotent groups | Group theory | Open | | |
| Self-similar metabelian groups containing a wreath product | Group theory | Open | | |
| Linear groups with finitely many automorphism orbits | Group theory | Open | | |
| Locally finite groups with few characteristic subgroups | Group theory | Open | | |
| Finite groups with prescribed spread | Group theory | Open | | |
| Constructibility of soluble tdlc groups of type FP-infinity | Group theory | Open | | |
| Finite extensions in Kropholler’s hierarchy | Group theory | Open | | |
| Commutator values in finite groups | Group theory | Open | | |
| Unique product groups outside the diffuse class | Group theory | Open | | |
| Dunwoody accessibility for totally disconnected groups | Group theory | Open | | |
| Realizing finite groups as derived subgroups | Group theory | Open | | |
| Regular subgroups in holomorphs of soluble groups | Group theory | Open | | |
| The Haagerup property for one-relator groups | Group theory | Open | | |
| Common regular two-point stabilizers in primitive groups | Group theory | Open | | |
| Products of two derangements in finite simple groups | Group theory | Open | | |
| Generating finite groups with Sylow subgroups | Group theory | Open | | |
| Generation of finite simple groups by two Sylow subgroups | Group theory | Open | | |
| Chordality of enhanced power graphs of simple groups | Group theory | Open | | |
| Hopficity of restricted wreath products | Group theory | Open | | |
| Irreducible algebraic-group actions in finite Morley rank | Group theory | Open | | |
| Involution-free groups of finite Morley rank acting irreducibly | Group theory | Open | | |
| Irreducible actions on simple groups of finite Morley rank | Group theory | Open | | |
| Closure operators on classes of metabelian groups | Group theory | Open | | |
| Finite group width versus finite monoid width | Group theory | Open | | |
| Large free-abelian duals of subgroups of integer powers | Group theory | Open | | |
| Groups represented by nonprincipal ultraproduct images | Group theory | Open | | |
| Characteristic intersections in free pro-p groups | Group theory | Open | | |
| Local-to-global IYB structure in finite soluble groups | Group theory | Open | | |
| The cyclic-block property for transitive Sylow subgroups | Group theory | Open | | |
| Transitive Sylow subgroups of finitary permutation groups | Group theory | Open | | |
| Five conjugates in groups with trivial solvable radical | Group theory | Open | | |
| Disjoint soluble subgroups in symmetric and alternating groups | Group theory | Open | | |
| Order-divisibility bijections with finite simple groups | Group theory | Open | | |
| Willems' lower bound for Brauer character degrees | Group theory | Open | | |
| Partition numbers dividing factorials beyond 39 | Number theory | Open | | |
| The 89/325 derangement bound for finite simple transitive groups | Group theory | Open | | |
| [#P3150] Ryser’s conjecture for odd-order Latin squares | Combinatorics | Open | | |
| [#P3062] Cycle Double Cover Conjecture | Graph theory | Resolved | Lean-verified | |
| [#P3148] Whitehead asphericity conjecture | Topology | Open | | |
| [#P3146] Is VP equal to VNP? | Theoretical computer science | Open | | |
| [#P3144] Is there a truly subcubic algorithm for weighted APSP? | Theoretical computer science | Open | | |
| [#P3142] The Total Coloring Conjecture | Combinatorics | Open | | |
| [#P3140] Strong Exponential Time Hypothesis | Theoretical computer science | Open | | |
| [#P3138] Positive metric entropy for the standard map | Dynamical systems | Open | | |
| [#P3064] Sabidussi's Compatibility Conjecture | Graph theory | Open | | |
| [#P3136] Ryser’s conjecture for multipartite hypergraphs | Combinatorics | Open | | |
| [#P3134] Decidability of the real exponential field | Logic | Open | | |
| [#P3132] Purely cosmetic surgery conjecture | Topology | Open | | |
| [#P3130] Polynomial-time recovery of planted cliques below the square-root scale | Theoretical computer science | Open | | |
| [#P3128] Hot spots conjecture for convex planar domains | Analysis | Open | | |
| [#P3126] Do one-way functions exist? | Theoretical computer science | Open | | |
| [#P3124] All nonnegative limits of normalized consecutive-prime gaps | Number theory | Open | | |
| [#P3122] Backward self-similar Navier-Stokes profiles in a half-space | Analysis | Open | | |
| [#P3120] Matrix Spencer discrepancy conjecture | Combinatorics | Open | | |
| [#P3118] Does the matrix-multiplication exponent equal two? | Theoretical computer science | Open | | |
| [#P3116] Decidability of positivity for linear recurrence sequences | Logic | Open | | |
| [#P3114] Kashaev volume conjecture for hyperbolic knots | Topology | Open | | |
| [#P3112] Is graph isomorphism solvable in polynomial time? | Theoretical computer science | Open | | |
| [#P3110] Generic analytic Arnold diffusion in a priori stable systems | Dynamical systems | Open | | |
| [#P3108] Capacity of the general discrete memoryless relay channel | Information theory | Open | | |
| [#P3106] Exact capacity region of the two-user Gaussian interference channel | Information theory | Open | | |
| [#P3104] The one-quarter threshold for fitting Gaussian points by a centered ellipsoid | Probability | Open | | |
| [#P3102] Decidability of the first-order theory of F_p((t)) | Logic | Open | | |
| [#P3100] Embeddability into a finite-group power semigroup | Algebra | Open | | |
| [#P3098] Shelah's eventual categoricity conjecture for AECs | Logic | Open | | |
| [#P3096] Persistent exponential stretching of a material line in two-dimensional Euler flow | Analysis | Open | | |
| [#P3066] Erdős Problem 152: isolated sums in Sidon sets | Additive combinatorics | Open | | |
| [#P3094] Dürer’s edge-unfolding problem | Geometry | Open | | |
| [#P3092] Existence and value of the diagonal Ramsey exponential limit | Graph theory | Open | | |
| [#P3090] Is L equal to NL? | Theoretical computer science | Open | | |
| [#P3088] Conway’s thrackle conjecture | Combinatorics | Open | | |
| [#P3086] An explicit exponential lower bound for diagonal Ramsey numbers | Graph theory | Open | | |
| [#P3084] A common high-chromatic subgraph of two \(\aleph_1\)-chromatic graphs | Graph theory | Open | | |
| [#P3082] Cabling conjecture for reducible Dehn surgery | Topology | Open | | |
| [#P3080] Four-cycle supersaturation just above the extremal threshold | Graph theory | Open | | |
| [#P3078] Is randomized polynomial time equal to deterministic polynomial time? | Theoretical computer science | Open | | |
| [#P3076] Borsuk’s conjecture in four dimensions | Geometry | Open | | |
| [#P3074] Bochner-Riesz conjecture in higher dimensions | Analysis | Open | | |
| [#P3072] Birkhoff conjecture for integrable convex billiards | Dynamical systems | Open | | |
| [#P3070] Barnette’s conjecture | Combinatorics | Open | | |
| [#P3068] Minimum avoiding alphabet for every avoidable word | Combinatorics | Open | | |
| [#P2850] Unbounded numbers of integral points on global minimal elliptic curves | Number theory | Open | | |
| [#P2516] The sharp Dirichlet Poincare constant with two moment constraints | Real analysis | Resolved | Not Lean-verified | |
| [#P2602] Multiplicative complexity of the six-bit threshold-at-least-three function | Circuit complexity | Resolved | Not Lean-verified | |
| [#P2448] Eventual unimodality of ternary subset-sum polynomials | Algebraic combinatorics | Resolved | Not Lean-verified | |
| [#P2860] A Tarski monster of exponent five | Algebra | Open | | |
| [#P2598] Rank log-concavity for symmetric binary matrices through order fifty | Probabilistic combinatorics | Resolved | Not Lean-verified | |
| [#P2750] Trace-indistinguishable triples in sl2(F5) | Algebra | Open | | |
| [#P2698] Longest rotor-router cover time on the eight by eight grid | Discrete dynamical systems | Open | | |
| [#P2502] Minimum spanning-tree dilation on the regular nonagon | Computational geometry | Resolved | Not Lean-verified | |
| [#P2762] Rational points on y^2=x^6-x^2+1 | Arithmetic geometry | Open | | |
| [#P2670] Largest rainbow squarefree gap below 10^12 | Multiplicative number theory | Open | | |
| [#P2658] Longest rainbow divisor-count interval below 10^12 | Multiplicative number theory | Open | | |
| [#P2870] Consistency strength of projective Ramsey regularity | Logic | Open | | |
| [#P2638] Sparsest degree-600 recurrence for a prime-indicator prefix | Integer sequences | Open | | |
| [#P2922] Planar drums whose spectra differ only finitely | Spectral geometry | Open | | |
| [#P2848] Unbounded continued-fraction coefficients of pi | Number theory | Open | | |
| [#P2536] Monotonicity of consecutive-adjacency avoidance in random permutations | Probability | Resolved | Not Lean-verified | |
| [#P2742] Square-class collisions in the Pell-Lucas sequence | Number theory | Open | | |
| [#P2518] Optimal symmetric three-point quadrature for a bounded second derivative | Real analysis | Resolved | Not Lean-verified | |
| [#P2572] Smallest variable-order OBDD for the middle bit of six-bit multiplication | Decision diagrams | Resolved | Not Lean-verified | |
| [#P2906] Computability of the area of the Mandelbrot set | Complex dynamics | Open | | |
| [#P2904] Integral-root classification for Lloyd polynomials | Coding theory | Open | | |
| [#P2888] Completing a line arrangement to triangular bounded cells | Discrete geometry | Open | | |
| [#P2510] Homotopy type of a Lee-metric Rips complex on the 7 by 7 torus | Computational topology | Resolved | Not Lean-verified | |
| [#P2924] Openness of convolution on l1 of the integers | Functional analysis | Open | | |
| [#P2556] A period-six recurrence for domination on the three-row knight graph | Graph theory | Resolved | Not Lean-verified | |
| [#P2814] Torsion-freeness for king-grid independence complexes | Topology | Open | | |
| [#P2696] Longest cycle of a nonlinear area-preserving map over F_1000003 | Finite dynamical systems | Open | | |
| [#P2862] Kaplansky's sixth conjecture for semisimple Hopf algebras | Algebra | Open | | |
| [#P2662] Most irreducible constant slices of a sparse quintic over F_101 | Finite fields | Resolved | Not Lean-verified | |
| [#P2526] An ideal Prouhet-Tarry-Escott solution of size eleven | Diophantine equations | Open | | |
| [#P2936] Complete coverage by random disks at the harmonic scale | Probability | Open | | |
| [#P2584] Exact Hamiltonicity probability on eight labeled vertices | Probabilistic combinatorics | Resolved | Not Lean-verified | |
| [#P2604] Largest subtour-LP gap among eight-vertex graph metrics | Combinatorial optimization | Open | | |
| [#P2872] Infinitely many ones in the greedy three-term-progression-free sequence | Combinatorics on words | Open | | |
| [#P2900] Gathering the frog game at the root of a full binary tree | Combinatorial games | Open | | |
| [#P2892] Plane tilings by every five-cell lattice animal | Tiling theory | Open | | |
| [#P2858] Ternary representatives of finite-order integral matrices | Algebra | Open | | |
| [#P2908] A free group generated by exponential and squaring maps | Real analysis | Open | | |
| [#P2532] Longest four-number Ducci trajectory in the 100 box | Discrete dynamical systems | Resolved | Not Lean-verified | |
| [#P2682] Most lattice points with all pairwise slopes distinct in a ten by ten grid | Discrete geometry | Open | | |
| [#P2636] Difference size of Z_127 | Additive combinatorics | Resolved | Not Lean-verified | |
| [#P2804] Flip-graph diameter for triangulations of C(10,4) | Computational geometry | Open | | |
| [#P2730] Sharp fourth-power norm of the cyclic Hilbert transform at order 31 | Harmonic analysis | Open | | |
| [#P2882] Minimum distinct diagonal intersections in a convex polygon | Discrete geometry | Open | | |
| [#P2570] Leaf complexity of six-vertex graph connectivity | Decision tree complexity | Resolved | Not Lean-verified | |
| [#P2676] Most spanning trees in a 10-regular circulant on 101 vertices | Algebraic graph theory | Resolved | Not Lean-verified | |
| [#P2440] Maximum determinant of a zero-diagonal binary symmetric Toeplitz matrix of order 20 | Matrix theory | Resolved | Not Lean-verified | |
| [#P2928] Complexity of equality for binary-code weight enumerators | Computational complexity | Open | | |
| [#P2896] Logarithmic dimension for almost-equilateral sets in Banach spaces | Banach spaces | Open | | |
| [#P46] Zauner's conjecture | Quantum information | Open | | |
| [#P36] Yang-Mills existence and mass gap | Mathematical physics | Open | | |
| [#P44] Unique Games conjecture | Computational complexity | Open | | |
| [#P41] Union-closed sets conjecture | Combinatorics | Open | | |
| [#P28] Twin prime conjecture | Number theory | Open | | |
| [#P2874] Five-colouring triangle-free graphs of maximum degree six | Graph theory | Open | | |
| [#P29] Three-dimensional Euler regularity | Partial differential equations | Open | | |
| [#P2878] Orders of ternary row-orthogonal matrices with a full row | Combinatorial matrix theory | Open | | |
| [#P2854] A support-three zero divisor over a torsion-free group | Algebra | Open | | |
| [#P10] Sum of three cubes problem | Number theory | Open | | |
| [#P2788] Components of the Pasch-switch graph on STS(15) classes | Design theory | Open | | |
| [#P13] Square peg problem | Geometry | Open | | |
| [#P2866] Set-theoretic complete intersections for complex space curves | Algebraic geometry | Open | | |
| [#P26] Smooth four-dimensional Poincaré conjecture | Topology | Open | | |
| [#P15] Schanuel's conjecture | Transcendental number theory | Open | | |
| [#P2812] Positive cycle entropy for finite cyclic Rule 30 | Dynamics | Open | | |
| [#P45] Rota's basis conjecture | Linear algebra | Open | | |
| [#P31] Riemann hypothesis | Analytic number theory | Open | | |
| [#P2800] Rectilinear crossing number of K_28 | Computational geometry | Open | | |
| [#P2846] Irreducibility probability for random Littlewood polynomials | Number theory | Open | | |
| [#P2894] Rainbow perfect matchings from eight spanning color classes | Graph theory | Open | | |
| [#P42] Quantum PCP conjecture | Quantum computing | Open | | |
| [#P2840] A two-variable polynomial whose integer image is exactly the nonnegative integers | Number theory | Open | | |
| [#P2838] A polynomial bijection from the rational plane to the rational line | Number theory | Open | | |
| [#P2898] Line-cover numbers of the dodecahedral and icosahedral graphs | Graph drawing | Open | | |
| [#P24] Plane Jacobian conjecture | Algebraic geometry | Open | | |
| [#P2842] Improve the upper exponent for the longest Pierce remainder chain | Number theory | Open | | |
| [#P14] Perfect cuboid problem | Number theory | Open | | |
| [#P39] P versus NP | Computational complexity | Open | | |
| [#P2902] Positivity of the p-element centralizer generalized character | Finite groups | Open | | |
| [#P2868] An o-minimal function faster than every finite exponential iterate | Logic | Open | | |
| [#P51] Novikov conjecture | Topology | Open | | |
| [#P38] Nonexistence of odd perfect numbers | Number theory | Open | | |
| [#P2884] Constructing a union from non-cancelling intersections | Combinatorics | Open | | |
| [#P2930] Winner complexity of Node Kayles on subcubic trees | Combinatorial games | Open | | |
| [#P17] Navier-Stokes existence and smoothness | Partial differential equations | Open | | |
| [#P2802] Minimum number of convex pentagons determined by seventeen points | Discrete geometry | Open | | |
| [#P2810] A half-edge transient bound for majority dynamics on the square torus | Dynamics | Open | | |
| [#P33] Lonely runner conjecture | Diophantine approximation | Open | | |
| [#P11] Littlewood conjecture | Diophantine approximation | Open | | |
| [#P2918] Weak vanishing of a horizontal line in Conway's Life | Cellular automata | Open | | |
| [#P34] Lehmer's Mahler measure problem | Number theory | Open | | |
| [#P25] Legendre's conjecture | Number theory | Open | | |
| [#P50] Kaplansky zero-divisor conjecture | Algebra | Open | | |
| [#P30] Kakeya conjecture in dimensions at least four | Harmonic analysis | Open | | |
| [#P37] Inverse Galois problem | Algebra | Open | | |
| [#P35] Infinitely many Mersenne primes | Number theory | Open | | |
| [#P7] Hodge conjecture | Algebraic geometry | Open | | |
| [#P27] Hilbert's tenth problem over the rationals | Logic | Open | | |
| [#P9] Hilbert's sixteenth problem, second part | Dynamical systems | Open | | |
| [#P52] Hadwiger-Nelson problem | Discrete geometry | Open | | |
| [#P23] Hadwiger's conjecture | Graph theory | Open | | |
| [#P22] Hadamard matrix conjecture | Linear algebra | Open | | |
| [#P49] Graph reconstruction conjecture | Graph theory | Open | | |
| [#P40] Graceful tree conjecture | Graph theory | Open | | |
| [#P3] Goldbach conjecture | Number theory | Open | | |
| [#P2920] Simple Laplace spectrum for a generic metric in a Kahler class | Spectral geometry | Open | | |
| [#P4] Four exponentials conjecture | Number theory | Open | | |
| [#P8] Fermat-Catalan conjecture | Number theory | Open | | |
| [#P12] Falconer distance conjecture | Geometric measure theory | Open | | |
| [#P2844] Classify factorials in the interior of Pascal's triangle | Number theory | Open | | |
| [#P2876] A rainbow-free three-colouring of unit triangles in three-space | Discrete geometry | Open | | |
| [#P5] Erdős-Straus conjecture | Number theory | Open | | |
| [#P6] Erdős-Moser conjecture | Number theory | Open | | |
| [#P43] Erdős-Hajnal conjecture | Graph theory | Open | | |
| [#P2880] Zero density in the easily bored sequence | Combinatorics on words | Open | | |
| [#P32] Cramér's prime-gap conjecture | Analytic number theory | Open | | |
| [#P19] Collatz conjecture | Discrete dynamical systems | Open | | |
| [#P2914] A rigorous stochastic-dominance counterexample in one-dimensional coalescence | Probability | Open | | |
| [#P2934] Effectivity of cocongruences in commutative monoids | Category theory | Open | | |
| [#P21] Bunyakovsky conjecture | Number theory | Open | | |
| [#P16] Birch and Swinnerton-Dyer rank conjecture | Arithmetic geometry | Open | | |
| [#P2834] Logarithmic DFA separation of binary words | Theoretical computer science | Open | | |
| [#P47] Berge-Fulkerson conjecture | Graph theory | Open | | |
| [#P20] Beal conjecture | Diophantine equations | Open | | |
| [#P18] Artin's primitive root conjecture | Number theory | Open | | |
| [#P48] Andrews-Curtis conjecture | Group theory | Open | | |
| [#P2926] An infinite-dimensional Banach space where every operator attains its norm | Functional analysis | Open | | |
| [#P2822] Least uniform modulus of an abelian-square-free morphism on four letters | Combinatorics on words | Open | | |
| [#P2628] Zero-sum-free subsets of the unit sphere over F_7 | Zero sum theory | Resolved | Not Lean-verified | |
| [#P2622] Largest four-term-progression-free subset of Z_101 | Additive combinatorics | Open | | |
| [#P2654] Densest inverse of a weight-five binary cyclic polynomial | Finite rings | Open | | |
| [#P2680] Largest equilateral-triangle-free subset of the fifteen-row triangular lattice | Discrete geometry | Open | | |
| [#P2694] Largest cyclic winning margin for six disjoint six-sided dice | Probability | Open | | |
| [#P2588] Median satisfiability threshold for a six-variable clause set | Probabilistic combinatorics | Open | | |
| [#P2722] Maximum half-noise stability of a 794-set in the twelve cube | Probability | Open | | |
| [#P2576] Minimum propagation-complete CNF for five-bit parity | Propositional logic | Open | | |
| [#P2436] Least trinomial multiple of a primitive degree-61 polynomial | Finite fields | Open | | |
| [#P2428] Grid points with no three collinear and no four concyclic | Discrete geometry | Open | | |
| [#P2706] Worst nearest-neighbor tour on a ten-vertex graph metric | Combinatorial optimization | Open | | |
| [#P2664] Largest multiplicative Sidon subset of the first 200 integers | Multiplicative combinatorics | Open | | |
| [#P2744] Minimal vanishing sums of distinct 105th roots | Number theory | Open | | |
| [#P2646] Largest girth from two generators of SL(2,101) | Finite groups | Open | | |
| [#P2738] Prime exceptions to connectivity of the Markoff graph | Number theory | Open | | |
| [#P2712] Two-cycle probability for majority dynamics on the eight torus | Cellular dynamics | Open | | |
| [#P2544] Sharp long-shift autocorrelation for half-measure circle sets | Measure theory | Open | | |
| [#P2690] Flattest 32-term Littlewood polynomial on the unit circle | Harmonic analysis | Open | | |
| [#P2600] Shortest superstring of the binary Lyndon words of length eight | Formal languages | Resolved | Not Lean-verified | |
| [#P2700] Exact heat-bath spectral gap on the six by six Ising torus | Mathematical physics | Open | | |
| [#P2720] Largest cycle of a Hénon permutation over the 65537 field | Arithmetic dynamics | Open | | |
| [#P2718] Nearest hard-square partition-function zero for the sixteen grid | Mathematical physics | Open | | |
| [#P2594] Hard-core coefficient log-concavity on the first ten thousand four-cycle strips | Mathematical physics | Open | | |
| [#P2708] Largest first Betti number of a connected Hamming Rips complex | Computational topology | Open | | |
| [#P2724] Largest expected cover time on the four by five grid | Probability | Open | | |
| [#P2458] Does the greedy one-common-bit sequence visit every positive integer? | Integer sequences | Open | | |
| [#P2686] Exact tunnel probability for site percolation on a four by four by four cubical box | Probabilistic topology | Open | | |
| [#P2548] Power-of-two solution counts for a finite-field functional equation | Functional equations | Open | | |
| [#P2550] Exact Jensen stability constant on the eighth dyadic grid | Functional equations | Open | | |
| [#P2474] Minimum distinct-product basis of F_101 | Additive bases | Open | | |
| [#P2560] Reset threshold of the cyclic pair-compression automaton | Automata theory | Open | | |
| [#P2632] Largest cyclic 3-(31,5,1) packing | Design theory | Open | | |
| [#P2702] Most antiferromagnetic ground states in a 3-connected cubic graph on twenty vertices | Mathematical physics | Open | | |
| [#P2634] Exact value of CAN(3,15,3) | Covering arrays | Open | | |
| [#P2684] Largest first-homology torsion from forty-five triangles on eleven vertices | Computational topology | Open | | |
| [#P2692] Sharp L2 norm of the centered maximal operator on C_31 | Harmonic analysis | Open | | |
| [#P2726] Exact spanning-set count for two-neighbor bootstrap percolation on the eight grid | Probability | Open | | |
| [#P2666] Most divisors of a binomial coefficient with top at most 10^6 | Multiplicative number theory | Open | | |
| [#P2590] Optimal balanced-subset Mastermind on twelve points | Combinatorial search | Open | | |
| [#P2456] Sharp multipliers for balanced binary products | Number theory | Open | | |
| [#P2984] Additive Complements to the Primes with Sub-Log-Squared Density | Number theory | Open | | |
| [#P3048] Asymptotic formula for the maximum size of a 3-term-AP-free subset of \(\{1,\dots,N\}\) | Number theory | Open | | |
| [#P3044] Asymptotic growth of consecutive van der Waerden number quotients | Number theory | Open | | |
| [#P3054] Asymptotic Growth of Mean Square Gaps in Sumsets of Sidon Sets | Combinatorics | Open | | |
| [#P3026] Asymptotic growth of minimum distinct distances for point sets in general position | Discrete geometry | Open | | |
| [#P3016] Asymptotic growth of the maximum guaranteed order of a regular induced subgraph | Combinatorics | Open | | |
| [#P3032] Asymptotic upper bound for lines containing exactly four points | Discrete geometry | Open | | |
| [#P3046] Consecutive Primes in Arithmetic Progression | Combinatorics | Open | | |
| [#P3050] Convergence of a weighted sum over well-separated sets | Number theory | Open | | |
| [#P2970] Convergence of an alternating series involving primes | Number theory | Open | | |
| [#P2966] Convergence of the Reciprocal Sum for Good Sets | Number theory | Open | | |
| [#P3028] Equilateral Triangles in Diameter-Minimizing Point Sets with Unit Minimum Distance | Discrete geometry | Open | | |
| [#P3020] Erdős Distinct Distances Lower Bound Conjecture | Discrete geometry | Open | | |
| [#P3038] Erdős Problem 124: Sums of Distinct Powers with Nonzero Exponent Shift | Number theory | Open | | |
| [#P2978] Erdős Problem 25: Existence of Logarithmic Density for Size-Dependent Congruence Avoidance Sets | Number theory | Open | | |
| [#P2982] Erdős Problem 30 on Sidon Sets | Number theory | Open | | |
| [#P2992] Erdős Problem 40 on additive bases with slow growth | Number theory | Open | | |
| [#P2994] Erdős Problem 41 on Distinct Triple Sums | Number theory | Open | | |
| [#P2976] Erdős–Rado sunflower threshold growth rate | Combinatorics | Open | | |
| [#P3006] Erdős's Additive Representation Density Problem | Number theory | Open | | |
| [#P2958] Erdős's Conjecture on Divergent Reciprocal Sums and Arithmetic Progressions | Number theory | Open | | |
| [#P2974] Erdős's Conjecture on Practical Numbers with Bounded Representation Complexity | Number theory | Open | | |
| [#P3030] Erdős's distinct distances diameter problem | Discrete geometry | Open | | |
| [#P3036] Erdős's Problem on Affine Copies of Infinite Sets in Sets of Positive Measure | Combinatorics | Open | | |
| [#P3034] Erdős's problem on high-girth, high-chromatic-number subgraphs | Combinatorics | Open | | |
| [#P2968] Erdős's Problem on Non-Unique Representability as Sums | Number theory | Open | | |
| [#P2962] Erdős's Problem on Sums of a Prime and Powers of 2 | Combinatorics | Open | | |
| [#P3014] Erdős's problem on uncountable graphs with large independent sets in all large finite subgraphs | Combinatorics | Open | | |
| [#P2964] Erdős's squarefree-power-of-two sum problem | Number theory | Open | | |
| [#P2956] Erdős's sum-distinct set problem for real numbers | Combinatorics | Open | | |
| [#P3002] Erdős's sum-product growth problem for finite sets of integers | Number theory | Open | | |
| [#P3012] Erdős's variant on almost-bipartite subgraphs of infinite-chromatic graphs | Combinatorics | Open | | |
| [#P3000] Existence of an Infinite Set of Totient Values with Superlinear Minimal Preimages | Number theory | Open | | |
| [#P2996] Existence of asymptotically optimal Sidon sets in initial intervals | Combinatorics | Open | | |
| [#P2990] Existence of dense infinite Sidon sets | Number theory | Open | | |
| [#P3052] Existence of the Mean Power Limit for Squarefree Gaps | Number theory | Open | | |
| [#P2972] Infinitude of Cluster Primes | Number theory | Open | | |
| [#P3008] Irrationality of the Factorial Reciprocal Minus One Series | Number theory | Open | | |
| [#P3024] Linear upper bound for unit distances in convex polygons | Discrete geometry | Open | | |
| [#P3040] Maximal Number of Distinct Prime Factors in Pairwise Sums Products | Number theory | Open | | |
| [#P3018] Monotonicity of the minimum degree forcing a 4-cycle | Combinatorics | Open | | |
| [#P2998] Non-existence of positive derivatives for the distribution function of Euler's totient ratio | Number theory | Open | | |
| [#P3022] Non-uniqueness of point sets minimizing distinct distances | Discrete geometry | Open | | |
| [#P2960] Positive Upper Density of Odd Numbers Not Representable as a Prime Plus Two Powers of 2 | Combinatorics | Open | | |
| [#P3042] Powerful Numbers in Products of Consecutive Integers | Number theory | Open | | |
| [#P3010] The 3-uniform partition relation for the continuum | Mathematical logic | Open | | |
| [#P3004] The Erdős–Hajnal Conjecture on Polynomial Ramsey-Type Bounds | Combinatorics | Open | | |
| [#P2988] The limit of the minimum overlap quotient | Combinatorics | Open | | |
| [#P2986] The minimal upper density of a square-additive basis for the natural numbers | Number theory | Open | | |
| [#P2980] Unbounded representation function for sets with cofinite sumset | Number theory | Open | | |
| [#P2420] Nonvanishing of Rudin-Shapiro Hankel determinants | Automatic sequences | Open | | |
| [#P2794] Covering radius of the second-order Reed-Muller code RM(2,8) | Coding theory | Open | | |
| [#P2796] Exact mixed-dimension subspace-code number A_2(7,4) | Coding theory | Open | | |
| [#P2608] Shortest addition chain for the 127th Mersenne number | Addition chains | Open | | |
| [#P2816] Integral torsion in scale-four hypercube Rips complexes | Topology | Open | | |
| [#P2798] Exact ten-point Heilbronn number in the unit square | Discrete geometry | Open | | |
| [#P2430] Merging of orbits under adding the product of nonzero digits | Number theory | Open | | |
| [#P2818] The three-halves bound for distinct squares in circular words | Combinatorics on words | Open | | |
| [#P2820] Eventual existence of four-letter circular abelian-square-free words | Combinatorics on words | Open | | |
| [#P2422] Nonvanishing of Baum-Sweet Hankel determinants | Automatic sequences | Open | | |
| [#P2624] A 14-element B_2[2] set in Z_100 | Additive combinatorics | Open | | |
| [#P2824] Infinite additive-square avoidance over a finite integer alphabet | Combinatorics on words | Open | | |
| [#P2826] Additive-cube avoidance on the alphabet zero through three | Combinatorics on words | Open | | |
| [#P2832] Polynomial determinization of two-way finite automata | Theoretical computer science | Open | | |
| [#P2836] Decidability of zeros in integer linear recurrence sequences | Logic | Open | | |
| [#P2830] Strong block universality of Conway's Game of Life | Dynamics | Open | | |
| [#P2828] Asser's complement problem for first-order spectra | Logic | Open | | |
| [#P2716] Most squares spanned by twenty points of the ten grid | Discrete geometry | Open | | |
| [#P2534] Three mutually orthogonal Latin squares of order ten | Design theory | Open | | |
| [#P2650] A bounded three-cubes search for 114 | Diophantine equations | Open | | |
| [#P2714] Tammes separation for fifteen points on the sphere | Geometry | Open | | |
| [#P2640] Maximum determinant of a skew Seidel matrix of order 34 | Matrix theory | Open | | |
| [#P2538] Eventual monotonicity in a signed subset-sum local limit | Probability | Open | | |
| [#P2660] Number of reduced Latin squares of order 12 | Enumerative combinatorics | Open | | |
| [#P2728] Number of singular ten by ten binary matrices over the reals | Probability | Open | | |
| [#P2508] A 43-vertex graph for the diagonal Ramsey problem R(5,5) | Ramsey theory | Open | | |
| [#P2616] A binary q-analog of the Fano plane | Finite geometry | Open | | |
| [#P2614] A projective plane of order 12 | Finite geometry | Open | | |
| [#P2484] Closest prime square to the cube of a prime below one trillion | Prime distribution | Open | | |
| [#P2912] The value of Levine's two-player coin-index game | Probability | Open | | |
| [#P2520] A Hadamard matrix of order 668 | Combinatorial designs | Open | | |
| [#P2618] An extremal Type II binary code of length 72 | Coding theory | Open | | |
| [#P2540] Eventual decrease for distinct cycle lengths in random permutations | Probability | Open | | |
| [#P2562] Covering every five-set with eight-sets on sixteen points | Design theory | Open | | |
| [#P2612] Existence of a Costas array of order 32 | Combinatorial designs | Open | | |
| [#P2610] Exact size of a length-17 constant-weight code | Coding theory | Open | | |
| [#P2504] A 368-word code in the fifth strong power of the 7-cycle | Information theory | Open | | |
| [#P2620] An APN permutation of the 256-element field | Finite fields | Open | | |
| [#P2] Determinants of the Fibonacci-sum matrix | Combinatorics | Resolved | Lean-verified | |
| [#P1] Nonzero determinants of the Fibonacci-sum matrix | Combinatorics | Open | | |