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Claim · GitHub repository Felpix-Studios/kissing-number · 10 Oct 2026 · Mathematics · Not signed on Papex

Kissing numbers — Preprints and improved kissing number constructions

Kevin Li (GitHub: Felpix-Studios)

AI use, as the source states it

“We prove that the kissing numbers in 19 and 21 dimensions are at least 12460 and 31560, improving the best published bounds 11948 (Ho) and 29768 (Cohn and Li). … We prove that the kissing numbers in 28, 29, 30 and 31 dimensions are at least 205172, 210495, 222073 and 241079. … We give two kissing configurations of 8358 points in 18 dimensions. This exceeds the best published lower bound, 7654 by Cohn and Li, by 704, and ties a value reported earlier by Kravatskiy in a public repository.”

Model: GPT-6 Astra Pro; Claude Opus 5.5; Claude Fable 5.1, as stated

Problem

Kissing number problem

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