safe prime

US, UK/seɪf ˈpɹaɪm/

noun

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

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Meanings

nounsafe prime (plural safe primes)

plural safe primes

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

Origin

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.

Full word history & related roots →

Translations

Arabic عدد أولي آمن
  • عدد أولي آمنprime number of the form 2p+1, where p is also a prime
Chinese Cantonese 安全質數 /安全质数
  • 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
  • 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
  • bezpečné prvočísloprime number of the form 2p+1, where p is also a prime
Danish sikkert primtal
  • sikkert primtalprime number of the form 2p+1, where p is also a prime
Esperanto sekura primo
  • sekura primoprime number of the form 2p+1, where p is also a prime
Finnish turvallinen alkuluku
  • turvallinen alkulukuprime number of the form 2p+1, where p is also a prime
French nombre premier sûr
  • nombre premier sûrprime number of the form 2p+1, where p is also a prime
German sichere Primzahl
  • sichere Primzahlprime number of the form 2p+1, where p is also a prime
Hungarian biztonságos prímek
  • biztonságos prímekprime number of the form 2p+1, where p is also a prime
Italian numero primo sicuro
  • numero primo sicuroprime number of the form 2p+1, where p is also a prime
Japanese 安全素數
  • 安全素數 (anzensosū)prime number of the form 2p+1, where p is also a prime
Russian безопасное простое число
  • безопасное простое число (bezopasnoje prostoje čislo)prime number of the form 2p+1, where p is also a prime
Tamil பாதுகாப்பான பகாத்தனி
  • பாதுகாப்பான பகாத்தனி (pātukāppāṉa pakāttaṉi)prime number of the form 2p+1, where p is also a prime
Vietnamese số nguyên tố an toàn
  • số nguyên tố an toànprime number of the form 2p+1, where p is also a prime

Rhymes & wordplay

Rhymes with safe prime

timecrimeprimesublimeenzymemimeclimblimeparadigmdimerhymechimethymegrimerimezymeclimeabzymebegrimeberhymebeslimebetimechymecyme
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Cite this entry
APA

safe prime. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/safe%20prime

MLA

“safe prime.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/safe%20prime. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “safe prime,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/safe%20prime.

Source: safe prime on Wiktionary, CC BY-SA 4.0.