Variants of Korselt's Criterion

Canadian mathematical bulletin

Thomas Wright¹ 

[1] Department of Mathematics, Wofford College, Spartanburg, SC 29302, USA

关键词: Carmichael number;    pseudoprime;    Korselt's Criterion;    primes in arithmetic progressions;   

DOI  :  10.4153/CMB-2015-027-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer $a$, there are infinitely many $nin mathbb N$ such that for each prime factor $p|n$, we have $p-a|n-a$. This can be seen as a generalization of Carmichael numbers, which are integers $n$such that $p-1|n-1$ for every $p|n$.

【 授权许可】

Unknown