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Difference sets and the primes

Authors :
Ruzsa, Imre Z.
Sanders, Tom
Source :
Acta Arith. 131 (2008), no. 3, 281-301
Publication Year :
2007

Abstract

Suppose that A is a subset of {1,...,N} such that the difference between any two elements of A is never one less than a prime. We show that |A| = O(N exp(-c(log N)^{1/4})) for some absolute c>0.<br />Comment: 19 pp. Corrected typos. Updated references.

Details

Database :
arXiv
Journal :
Acta Arith. 131 (2008), no. 3, 281-301
Publication Type :
Report
Accession number :
edsarx.0710.0644
Document Type :
Working Paper
Full Text :
https://doi.org/10.4064/aa131-3-5