infinitudeofcarmichaelnumbers

Infinitude of Carmichael Numbers

There exist infinitely many carmichael numbers

Proof:

By extending general argument used to prove Dirichlet's Theorem etc.

There exist infinitely many primes, p=6k+1, q=12k+1, r=18k+1

=> There exist infinitely many Carmichael numbers, pqr [Guy, UPINT, A13]