On the finiteness of Carmichael numbers with Fermat factors and L=2^αP²

2017/10/03 by Tsumura, Yu
#11A51 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1710.01321

Abstract

Let m be a Carmichael number and let L be the least common multiple of p-1, where p runs over the prime factors of m. We determine all the Carmichael numbers m with a Fermat prime factor such that L=2^αP², where k∈ ℕ and P is an odd prime number. There are eleven such Carmichael numbers.

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