Standard Lemma guide

pseudoprime

adj · noun · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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Pronunciation

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1

adj

Meaning 1

Being such an integer.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

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

Definition source: English Wiktionary via Wiktextract

Usage: specifically

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-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.