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The Polymath8b upper bound of 246 on the gap between consecutive primes that appear infinitely often, has held since 2014, but has finally been shaved down to 240 in this recent preprint of Julia Stadlmann: https://arxiv.org/abs/2608.31126 . Her paper is a remarkable effort in the spirit of the original Polymath8b argument, except now done by one mathematician (with the assistance of traditional numerical computation, but not modern AI tools). Ever since the seminal work of Goldston, Pintz, and Yildirim, the progress on this problem has proceeded by carefully designing a "sieve" of bounded in…
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