Triples of primes in arithmetic progressions

Christian Elsholtz

doi:10.1093/qjmath/53.4.393

Triples of primes in arithmetic progressions

Christian Elsholtz^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	393-395
Number of pages	3
Journal	The Quarterly Journal of Mathematics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1093/qjmath/53.4.393
Publication status	Published - Dec 2002

ASJC Scopus subject areas

Mathematics(all)

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10.1093/qjmath/53.4.393

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Triples of primes in arithmetic progressions

Abstract

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