Maynard: small gaps between primes

What changed

Developed a multidimensional sieve proving bounded intervals with arbitrarily many primes for fixed multiplicity.

Scientific scope

The record is Maynard's sole-author 2015 Annals of Mathematics paper. Its unconditional and conditional bounds remain those proved in the paper; it does not prove the twin-prime conjecture or absorb independent contemporaneous work.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Maynard's sole-author 2015 Annals of Mathematics paper. Its unconditional and conditional bounds remain those proved in the paper; it does not prove the twin-prime conjecture or absorb independent contemporaneous work.

Contributors

• James Maynard · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Annals full text of Small Gaps Between Primes
• Oxford repository record for Small Gaps Between Primes

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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