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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

A remark on Polignac's conjecture

Author(s): Paulo Ribenboim
Journal: Proc. Amer. Math. Soc. 137 (2009), 2865-2868.
MSC (2000): Primary 11P32
Posted: February 12, 2009
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Abstract | References | Similar articles | Additional information

Abstract: We make reasonable assumptions which imply respectively:

1)
every sufficiently large even integer is the difference of two primes;
2)
the set of even positive integers which are the differences of two primes has density 1 in the set of even positive integers.


References:

1.
Ribenboim, P., The Little Book of Bigger Primes. Second edition, Springer-Verlag, New York, 2004. MR 2028675 (2004i:11003)

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Additional Information:

Paulo Ribenboim
Affiliation: Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, K7L 3N6, Canada
Email: mathstat@mast.queensu.ca

DOI: 10.1090/S0002-9939-09-09840-2
PII: S 0002-9939(09)09840-2
Received by editor(s): October 2, 2008,
Received by editor(s) in revised form: November 27, 2008
Posted: February 12, 2009
Communicated by: Ken Ono
Copyright of article: Copyright 2009, American Mathematical Society


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