Phrase guide

safe prime

noun · 1 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.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • General-American, Received-Pronunciation: /seɪf ˈpɹaɪm/
  • rhymes with -aɪm

1

noun

Meaning 1

A prime number of the form 2p+1, where p is also a prime (the latter is called a Sophie Germain prime).

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From safe (adjective) + prime (noun). These primes are called “safe” because they are safe to use in cryptography due to the fact that one less than the prime has the largest possible prime factor.

Across languages

Translations

16 source translations are retained for this English entry.

  • Arabic: عدد أولي آمن — prime number of the form 2p+1, where p is also a prime
  • Chinese Cantonese: 安全質數 /安全质数 (on1 cyun4 zat1 sou3) — prime number of the form 2p+1, where p is also a prime
  • Chinese Mandarin: 安全素數 /安全素数 (ānquánsùshù) — prime number of the form 2p+1, where p is also a prime
  • Czech: bezpečné prvočíslo — prime number of the form 2p+1, where p is also a prime
  • Danish: sikkert primtal — prime number of the form 2p+1, where p is also a prime
  • Esperanto: sekura primo — prime number of the form 2p+1, where p is also a prime
  • Finnish: turvallinen alkuluku — prime number of the form 2p+1, where p is also a prime
  • French: nombre premier sûr — prime number of the form 2p+1, where p is also a prime
  • German: sichere Primzahl — prime number of the form 2p+1, where p is also a prime
  • Hungarian: biztonságos prímek — prime number of the form 2p+1, where p is also a prime
  • Italian: numero primo sicuro — prime number of the form 2p+1, where p is also a prime
  • Japanese: 安全素數 (anzensosū) — prime number of the form 2p+1, where p is also a prime
  • Russian: безопасное простое число (bezopasnoje prostoje čislo) — prime number of the form 2p+1, where p is also a prime
  • Slovene: varno praštevilo — prime number of the form 2p+1, where p is also a prime
  • Tamil: பாதுகாப்பான பகாத்தனி (pātukāppāṉa pakāttaṉi) — prime number of the form 2p+1, where p is also a prime
  • Vietnamese: số nguyên tố an toàn — prime number of the form 2p+1, where p is also a prime