Carmichael numbers and the sieve

Abstract

Using the sieve, we show that there are infinitely many Carmichael numbers whose prime factors all have the form $p=1+a^2+b^2$ with $a,b\in \mathbb{Z}$.

References in corpus (3)

• There are Infinitely Many Perrin Pseudoprimes
• Infinitely Many Carmichael Numbers in Arithmetic Progressions
• Radically weakening the Lehmer and Carmichael conditions