On integers of the form 𝑘2ⁿ+1-Reference-Cited by-同舟云学术

On integers of the form 𝑘2ⁿ+1

Published:2000-08-28 Issue:2 Volume:129 Page:355-361
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chen Yong-Gao

Abstract

In this paper we show that the set of positive odd integers k k such that k 2 n + 1 k2^{n} +1 has at least three distinct prime factors for all positive integers n n has positive lower asymptotic density.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-02/S0002-9939-00-05916-5/S0002-9939-00-05916-5.pdf

Reference20 articles.

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5. D. A. Buell and J. Young, Some large primes and the Sierpiński problem, SRC Technical Report 88-004, Supercomputing Research Center, Lanham MD, 1988.

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