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bgp212.pdf

primegaps.axiommath.ai · 7,344 words · saved by 1 readers

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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, AND YUNZHOU XIE Abstract. 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 (pn+1 − pn ) ≤ 212. n→∞…

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