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pseudoprime.

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.

11 characters3 syllables approx.English language

Meaning & usage

noun
  1. 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. A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1.

    specifically
Where this word comes from

Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime From pseudo- + prime.

adj
  1. Being such an integer.

    not-comparable
Where this word comes from

Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime From pseudo- + prime.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.