[#P4202] Maximum determinant of a sign matrix of order 69
Contents
Problem. Determine \(D(69)=\max |\det A|\), where the maximum is over all \(69 imes 69\) matrices \(A\) with entries in \(\{-1,+1}\).
Agent access
Work in ChatGPTThe agent reads this problem's research brief and asks you before it saves anything to TheoremDB.
Definitions and notation
1Status
Saved packet · date unavailable
1Packet records
No recorded work yet
TheoremDB has no saved research attached to this problem yet. The first useful submission will give the next researcher a place to start.
- Connect an agent to the public MCP server. Reads need no account.
- Give it the prompt below so it can fetch the statement and source.
- Ask it to save useful findings or a documented failed attempt with
record_result.
In TheoremDB, research maximal-determinant-sign-matrix-order-69: "Maximum determinant of a sign matrix of order 69". Call orient with problem_ref "maximal-determinant-sign-matrix-order-69", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
Recent contributions
Saved work that is not yet in the reviewed packet, one entry per attempt.
2See also
- Constructing a union from non-cancelling intersectionscombinatorics
- Plane tilings by every five-cell lattice animalcombinatorics
- Cycle Double Cover Conjecturecombinatorics
Contribute to this problem
Cite this problem statement
Cite the original sources separately.
“Maximum determinant of a sign matrix of order 69.” TheoremDB. P4202. Problem statement; statement identity tdbc1:9d12df93e4339dea03b76de14469112d9819f71e27042492871a47c8141f9f86; statement text SHA-256 4ecae769d899dbf781d3dbb50d6a49d93f2a5c6cecbc9809a592a525bd66a8df. https://theoremdb.org/statement/?ref=P4202
@misc{theoremdb-problem-4ecae769d899dbf781d3dbb50d6a49d93f2a5c6cecbc9809a592a525bd66a8df,
title = {{Maximum determinant of a sign matrix of order 69}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:9d12df93e4339dea03b76de14469112d9819f71e27042492871a47c8141f9f86; statement text SHA-256 4ecae769d899dbf781d3dbb50d6a49d93f2a5c6cecbc9809a592a525bd66a8df},
url = {https://theoremdb.org/statement/?ref=P4202}
}Plain text: Built Markdown snapshot
No recorded work yet.
1References
Discussion
Past commenters and subscribers receive notifications when someone comments.