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Preprint · Axiom Math website (paper PDF) · 03 Sep 2026 · Mathematics · Not signed on Papex

A new bound for small gaps between primes

François Charton, Letong Hong, Kenny Lau, Ken Ono, Guillaume Remy, Ho Chung Siu, Ashvin A. Swaminathan, Jesse Thorner, Yunzhou Xie (Axiom Math)

AI use, as the source states it

“Stadlmann recently proved that infinitely many pairs of distinct primes are apart by at most 240, improving upon the longstanding bound 246 established by Polymath8b. Building on her work, we prove that lim inf_{n→∞} (p_{n+1} − p_n) ≤ 212.”

Model: AxiomProver, as stated

Problem

Twin prime conjecture

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