number-theory / Analytic number theory

A new bound for small gaps between primes: H1212H_1 \le 212

H1212H_1 \le 212, improving Stadlmann's 240240 of three days earlier and the 246246 of Polymath8b that had stood since 2014. The twin prime conjecture, H1=2H_1 = 2, is untouched. Held the record for hours at most: OpenAI's paper claiming 186186 is dated 30 August, four days before this one, though its Lean development appeared on 2 September.

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number-theorySep 3, 2026Significance 62/100Registry: lean checked

A new bound for small gaps between primes: H1212H_1 \le 212

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H1212H_1 \le 212, improving Stadlmann's 240240 of three days earlier and the 246246 of Polymath8b that had stood since 2014. The twin prime conjecture, H1=2H_1 = 2, is untouched. Held the record for hours at most: OpenAI's paper claiming 186186 is dated 30 August, four days before this one, though its Lean development appeared on 2 September.

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H1212H_1 \le 212, improving Stadlmann's 240240 of three days earlier and the 246246 of Polymath8b that had stood since 2014. The twin prime conjecture, H1=2H_1 = 2, is untouched. Held the record for hours at most: OpenAI's paper claiming 186186 is dated 30 August, four days before this one, though its Lean development appeared on 2 September.

H1212H_1 \le 212, improving Stadlmann's 240240 of three days earlier and the 246246 of Polymath8b that had stood since 2014. The twin prime conjecture, H1=2H_1 = 2, is untouched. Held the record for hours at most: OpenAI's paper claiming 186186 is dated 30 August, four days before this one, though its Lean development appeared on 2 September.

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