For 10 points—name these odd composite numbers, which are known as absolute psuedoprimes and satisfy Fermat's little theorem for relatively prime values.
Alford, Grandville, and Pomerance proved the conjecture there exists infinitely many of them. They must be capable of dividing the denominator of their associated Bernoulli number. Erdos developed a technique for constructing large ones and they must be (*) squarefree according to Korselt's criteria. The Miller-Rabin probabilistic primality test fails for these numbers and they must possess at least three prime factors. For 10 points—name these odd composite numbers, which are known as absolute psuedoprimes and satisfy Fermat's little theorem for relatively prime values.
Alford, Grandville, and Pomerance proved the conjecture there exists infinitely many of them.
{Carmichael} numbers