Sieving 2m-prime pairs

Srečko Lampret
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 3, Pages 54–60
Full paper (PDF, 154 Kb)

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Authors and affiliations

Srečko Lampret
Pohorska cesta 110, 2367 Vuzenica, Slovenia

Abstract

A new characterization of 2m-prime pairs is obtained. In particular, twin prime pairs are characterized. Our results give elementary methods for finding 2m-prime pairs (e.g. twin prime pairs) up to a given integer.

Keywords

• Prime number
• Twin prime pair
• 2m-prime pair.

AMS Classification

• 11A41

References

1. De Polignac, A. Six propositions arithmologiques déduites de crible d’ Ératosthène. Nouv. Ann. Math. Vol. 8, 1849, 423–429.
2. Zhang, Y. Bounded gaps between primes. To appear in Ann. of Math.