Source authenticated

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.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Sep 3, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-checked. Publication: preprint. AI contribution: ai-assisted. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: A new bound for small gaps between primes: $H_1 \le 212$ · Prime gaps at most 212

Confidence: Not scored

Registry verification: lean checked · preprint · partial

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

AxiomProver
model · ai model contributor · Axiom Math

François Charton
human · human collaborator

Letong Hong
human · human collaborator

Kenny Lau
human · human collaborator

Ken Ono
human · human collaborator

Guillaume Remy
human · human collaborator

Ho Chung Siu
human · human collaborator

Ashvin A. Swaminathan
human · human collaborator

Jesse Thorner
human · human collaborator

Yunzhou Xie
human · human collaborator

Artifacts and verifiers

PrimeGapsLib, the Lean library

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Ashvin A. Swaminathan

VibeMathed record: A new bound for small gaps between primes: H1212H_1 \le 212 evidence for this event

This event attributed to Jesse Thorner

This event attributed to Guillaume Remy

This event attributed to Kenny Lau

PrimeGapsLib, the Lean library evidence for this event

This event attributed to Yunzhou Xie

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

This event attributed to Ken Ono

Stadlmann's 240, the bound this improves on evidence for this event

Blueprint of the 246 formalisation this builds on evidence for this event

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. parent of this event

This event attributed to François Charton

A new bound for small gaps between primes: H1212H_1 \le 212 parent of this event

This event attributed to AxiomProver

This event attributed to Letong Hong

This event attributed to Ho Chung Siu

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