English

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Etymology

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From pseudo- +‎ prime.

Noun

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pseudoprime (plural pseudoprimes)

  1. (mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such "false primes" very rare.
  2. (mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying   for some integer b such that b > 1.

Usage notes

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In the sense of a Fermat pseudoprime, if no base is specified, base two is assumed. Integers that satisfy the congruence for a particular b are referred to as "pseudoprimes to base b" or "pseudoprimes to the base b."

Derived terms

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Adjective

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pseudoprime (not comparable)

  1. Being such an integer.