Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?

DOI10.1007/978-3-642-14444-8_15zbMath1218.11094arXiv1002.2899OpenAlexW4250833904MaRDI QIDQ3078213

János Pintz

Publication date: 18 February 2011

Published in: Bolyai Society Mathematical Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2899

zbMATH Keywords

primessieve methodsarithmetic progressions

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Arithmetic progressions (11B25)

Related Items (12)

Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture ⋮ Variants of the Selberg sieve, and bounded intervals containing many primes ⋮ Bounded gaps between primes with a given primitive root. II ⋮ Patterns of Primes in Arithmetic Progressions ⋮ An approximation to the twin prime conjecture and the parity phenomenon ⋮ A transference principle for systems of linear equations, and applications to almost twin primes ⋮ Small gaps between configurations of prime polynomials ⋮ Patterns of primes in the Sato-Tate conjecture ⋮ Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II ⋮ Patterns of primes in Chebotarev sets ⋮ Primes with Beatty and Chebotarev conditions ⋮ The existence of small prime gaps in subsets of the integers

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