Arithmetic progressions of Carmichael numbers in a reduced residue class

[摘要] Fix coprime natural numbers a, q. Assuming the Prime k-tuple Conjecture, we show that there exist arbitrarily long arithmetic progressions of Carmichael numbers, each of which lies in the reduced residue class a mod q and is a product of three distinct prime numbers. (c) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-11-01

[关键词] Carmichael number;Arithmetic progression