A pseudoprime is a probable prime (an integer that shares a property common to all prime numbers) that is not actually prime. Pseudoprimes are classified according to which property of primes they satisfy. Some sources use the term pseudoprime about all probable primes, both composite numbers and actual primes. Pseudoprimes are of primary importan...
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http://en.wikipedia.org/wiki/Pseudoprime
A number that passes the test of Fermat's little theorem (FLT) for prime numbers but actually isn't a prime. FLT says that if p is prime and a is coprime to p, then ap-1 - 1 is divisible by p. If a number x is not prime, a is coprime to x, and x divides ax-1
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http://www.daviddarling.info/encyclopedia/P/pseudoprime.html
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