Pseudoprime

English

Etymology

From Template:Prefix.

Pronunciation

• Template:Audio

Noun

1. Template:Lb 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. Template:Lb A Fermat pseudoprime; a composite integer n satisfying $b^{n-1}\equiv 1(\mathrm{mod}n)$ for some integer b such that b > 1.

Usage notes

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."

Adjective

1. Being such an integer.