A remark on Polignac’s conjecture
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- by Paulo Ribenboim PDF
- Proc. Amer. Math. Soc. 137 (2009), 2865-2868 Request permission
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
- Paulo Ribenboim, The little book of bigger primes, 2nd ed., Springer-Verlag, New York, 2004. MR 2028675
Additional Information
- Paulo Ribenboim
- Affiliation: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada
- MR Author ID: 147700
- Email: mathstat@mast.queensu.ca
- Received by editor(s): October 2, 2008
- Received by editor(s) in revised form: November 27, 2008
- Published electronically: February 12, 2009
- Communicated by: Ken Ono
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2865-2868
- MSC (2000): Primary 11P32
- DOI: https://doi.org/10.1090/S0002-9939-09-09840-2
- MathSciNet review: 2506443