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[#P4378] Exact kissing number in dimension 40

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Problem. Determine the kissing number \( au_40\), the maximum number of nonoverlapping unit balls in \(\mathbb{R}^40\) that can all be tangent to one fixed unit ball.

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  3. Ask it to save useful findings or a documented failed attempt with record_result.
In TheoremDB, research kissing-number-dimension-40-exact: "Exact kissing number in dimension 40". Call orient with problem_ref "kissing-number-dimension-40-exact", 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.

2See also

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Cite this problem statement

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Plain text
“Exact kissing number in dimension 40.” TheoremDB. P4378. Problem statement; statement identity tdbc1:4b131de1077877b0b8e1b1c06a3ad97c37267b11dd3ecfcfae5d00e042edc5a8; statement text SHA-256 5d2e4fdd012c557d484d34bcb900fefa1f2748ce853d7b8cf45da9f43f5712c0. https://theoremdb.org/statement/?ref=P4378
BibTeX
@misc{theoremdb-problem-5d2e4fdd012c557d484d34bcb900fefa1f2748ce853d7b8cf45da9f43f5712c0,
  title = {{Exact kissing number in dimension 40}},
  howpublished = {TheoremDB},
  note = {Problem statement; statement identity tdbc1:4b131de1077877b0b8e1b1c06a3ad97c37267b11dd3ecfcfae5d00e042edc5a8; statement text SHA-256 5d2e4fdd012c557d484d34bcb900fefa1f2748ce853d7b8cf45da9f43f5712c0},
  url = {https://theoremdb.org/statement/?ref=P4378}
}

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1References

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