Triples of primes in arithmetic progressions

Christian Elsholtz

doi:10.1093/qjmath/53.4.393

Triples of primes in arithmetic progressions

Christian Elsholtz^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

We show that there exist sets of primes A, B ⊆ P ∩ [1, N] with |A| = s, |B| = t such that all 1/2 (a_i + b_j) are also prime, and where s ≥ 0.33^tN/(log N)^t+1 holds, for sufficiently large N.

Originalsprache	englisch
Seiten (von - bis)	393-395
Seitenumfang	3
Fachzeitschrift	The Quarterly Journal of Mathematics
Jahrgang	53
Ausgabenummer	4
DOIs	https://doi.org/10.1093/qjmath/53.4.393
Publikationsstatus	Veröffentlicht - Dez. 2002

ASJC Scopus subject areas

Mathematik (insg.)

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10.1093/qjmath/53.4.393

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title = "Triples of primes in arithmetic progressions",

abstract = "We show that there exist sets of primes A, B ⊆ P ∩ [1, N] with |A| = s, |B| = t such that all 1/2 (ai + bj) are also prime, and where s ≥ 0.33tN/(log N)t+1 holds, for sufficiently large N.",

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AB - We show that there exist sets of primes A, B ⊆ P ∩ [1, N] with |A| = s, |B| = t such that all 1/2 (ai + bj) are also prime, and where s ≥ 0.33tN/(log N)t+1 holds, for sufficiently large N.

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JO - The Quarterly Journal of Mathematics

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Triples of primes in arithmetic progressions

Abstract

ASJC Scopus subject areas

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