Abstract
Maynard shows that lim inf (pₙ₊₁ − pₙ) ≤ 600, and ≤ 12 assuming the Elliott–Halberstam conjecture.
Passage details
Passage ID: prime-gaps:entry:maynard:v1
Source item: Abstract
Source record: prime-gaps:source:maynard:v1
Small gaps between primes
PublishedPublication date 2015
Open paper ↗Overview
Maynard’s multidimensional sieve gives recurring prime gaps of at most 600.
Annals of Mathematics 181, 383–413 (2015), DOI 10.4007/annals.2015.181.1.7 checked against Crossref; arXiv v3 pinned by content hash.
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Used in
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How small can prime gaps be? →
Problem publication v7
Gaps at most 600, infinitely often →
Source assessment
Proved
Maynard: H₁ ≤ 600
Only the exact statement and passage cited here; not an independent OpenMath assessment.
Observed Oct 21, 2026
Problem context · 1 citations
Credits
Recorded authorship
James Maynard
AI involvement not reported
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- 2015 · selectedObserved Oct 21, 2026 · used in current publications
Small gaps between primes
Record details
- Source ID
- prime-gaps-maynard
- Record ID
- prime-gaps:source:maynard:v1
- Recorded title
- Small gaps between primes
- Revision
- 2015
- Observed
- Oct 21, 2026
- Source updated
- Not recorded
- Content SHA-256
- dce1a7a03004186f7116efe64c1c62f0792db973cce4208ac1bfb5050d63cda9
- Update method
- Source comparison followed by a new immutable curation revision.
- Identifier policy
- Stable source and entry identities; changed wording receives a new version.
- Check interval
- 90 days
- Rights
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