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Published in last 50 years
A method for constructing larger Carmichael numbers from known Carmichael numbers is presented. A Carmichael number of 432 digits is constructed.
A base a pseudoprime is an integer n such that1A Carmichael number is a composite integer n such that (1) is true for all a such that (a, n ) = l. It was shown by Carmichael [1] that, if n is a Carmichael number, then n is the product of k(>2) distinct primes P1,P2,P3, … Pk, and Pi-1|n-1(i=1, 2, 3, …, k).