A note on the Polignac numbers

Authors

  • H. Pan Nanjing University

Keywords:

Polignac number, admissible set

Abstract

A positive even number d is called a Polignac number if it can be expressed as the difference between two consecutive prime numbers in infinitely many ways. A set of positive integers is called admissible if it covers fewer than p residue classes modulo p for every prime p. In this paper, we show that the set of differences of elements of a sufficiently large admissible set contains at least one Polignac number. DOI: 10.1017/S0004972713001093

Author Biography

H. Pan, Nanjing University

Department of Mathematics

Published

2014-03-25

Issue

Vol. 89 No. 3 (2014)

Section

Articles
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