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A Note on Sums of Primes

Published online by Cambridge University Press:  20 November 2018

Andrew Granville
Andrew Granville*
Affiliation:
Department of Mathematics University of Toronto Toronto, Ontario M5S 1A1
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Abstract

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Under the assumption of the prime /c-tuplets conjecture we show that it is possible to construct an infinite sequence of integers, such that the average of any two is prime.

Keywords

10J15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 452 - 454
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Hardy, G. H., Littlewood, J. E., Some problems ofPartitio Numerorum III: On the expression of a number as a sum of primes, Acta Math. 44 (1922) 1–70.Google Scholar
2. Pomerance, C., Särközy, A., Stewart, C. L., On divisors of sums of integers III, Pacific J. Math. 133 (1988) 363–379.Google Scholar