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Variants of the Selberg sieve, and bounded intervals containing many primes

Polymath, D. H. J.arXiv.orgPublished Jul 18, 2014Original︎ ↗Archived copy

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Title: Variants of the Selberg sieve, and bounded intervals containing many primes0 passages
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A celebrated recent result of Zhang showed the finiteness of H_1, with the explicit bound H_1 ≤ 70000000.

There is some N below 70 million such that infinitely many pairs of primes differ by exactly N.Verified

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Record

Kind
unknown
Authors
Polymath, D. H. J.
Publisher
arXiv.org
Published
Jul 18, 2014
DOI
None
Link
https://arxiv.org/abs/1407.4897
Archived copy
https://web.archive.org/web/20261011055131/https://arxiv.org/abs/1407.4897
Stored text
5,300 characters, retrieved Nov 11, 2026 · 45 sections, 60 passages
Claims extracted
Not recorded
Versions
One known
Copies
None recorded
Corrections
None recorded
Facts checked
Nov 11, 2026

History 3

  1. Nov 11, 2026DividedSegmenter · Divided into 105 parts by its own structure
  2. Nov 11, 2026FactsFacts fetcher · Facts looked up
  3. Nov 11, 2026Entered the graphEntered the graph; copy stored