Sophie Germain prime

Soph·ie Ger·main prime
US, UK/ˌsɔfi ˌʒɛɹmɛ̃ ˈpɹaɪm/

noun

A prime number p where 2p+1 is also prime (the latter is called a safe prime).

Meanings

nounSophie Germain prime (plural Sophie Germain primes)

plural Sophie Germain primes

  1. mathematicsA prime number p where 2p+1 is also prime (the latter is called a safe prime).

Origin

From Sophie Germain + prime (noun), named after the French mathematician Sophie Germain (1776–1831), who used them in her investigations of Fermat’s Last Theorem.

Full word history & related roots →

Translations

Arabic عدد صوفي جيرمين الأولي
  • عدد صوفي جيرمين الأوليprime number p where 2p+1 is also prime
Basque Sophie Germainen zenbaki lehen
  • Sophie Germainen zenbaki lehenprime number p where 2p+1 is also prime
Bulgarian про́сто число́ на Софи́ Жерме́н
  • про́сто число́ на Софи́ Жерме́н (prósto čisló na Sofí Žermén)prime number p where 2p+1 is also prime
Catalan nombre primer de Sophie Germain
  • nombre primer de Sophie Germainprime number p where 2p+1 is also prime
Chinese Cantonese 謝爾曼質數 /谢尔曼质数
  • 謝爾曼質數 /谢尔曼质数 (ze⁶ ji⁵ maan⁶ zat¹ sou³)prime number p where 2p+1 is also prime
Chinese Mandarin 索菲·熱爾曼質數 /索菲·热尔曼质数
  • 索菲·熱爾曼質數 /索菲·热尔曼质数 (Suǒfēi Rèěrmàn zhíshù, Suǒfēi Rèěrmàn zhìshù)prime number p where 2p+1 is also prime
Czech prvočíslo Sophie Germainové
  • prvočíslo Sophie Germainovéprime number p where 2p+1 is also prime
Danish Sophie Germain-primtal
  • Sophie Germain-primtalprime number p where 2p+1 is also prime
Dutch Sophie Germainpriemgetal
  • Sophie Germainpriemgetalprime number p where 2p+1 is also prime
Esperanto primo de Sophie Germain
  • primo de Sophie Germainprime number p where 2p+1 is also prime
Finnish Sophie Germainin alkuluku
  • Sophie Germainin alkulukuprime number p where 2p+1 is also prime
French nombre premier de Sophie Germain
  • nombre premier de Sophie Germainprime number p where 2p+1 is also prime
German Sophie-Germain-Primzahl
  • Sophie-Germain-Primzahlprime number p where 2p+1 is also prime
Greek Σόφι Ζερμέν Πράιμ
  • Σόφι Ζερμέν Πράιμ (Sófi Zermén Práim)prime number p where 2p+1 is also prime
Hebrew ראשוני ז׳רמן
  • ראשוני ז׳רמןprime number p where 2p+1 is also prime
Hungarian Sophie Germain-prím
  • Sophie Germain-prímprime number p where 2p+1 is also prime
Indonesian bilangan prima Sophie Germain
  • bilangan prima Sophie Germainprime number p where 2p+1 is also prime
Italian numero primo di Sophie Germain
  • numero primo di Sophie Germainprime number p where 2p+1 is also prime
Japanese ソフィー・ジェルマン素数
  • ソフィー・ジェルマン素数 (Sofī Jeruman sosū)prime number p where 2p+1 is also prime
Korean 소피 제르맹 소수
  • 소피 제르맹 소수 (sopi jereumaeng sosu)prime number p where 2p+1 is also prime
Norwegian Bokmål Sophie Germain-primtall
  • Sophie Germain-primtallprime number p where 2p+1 is also prime
Polish liczby pierwsze Germain
  • liczby pierwsze Germainprime number p where 2p+1 is also prime
Portuguese número primo de Sophie Germain
  • número primo de Sophie Germainprime number p where 2p+1 is also prime
Romanian prim asigurat
  • prim asiguratprime number p where 2p+1 is also prime
Russian простое число Софи Жермен
  • простое число Софи Жермен (prostoje čislo Sofi Žermen)prime number p where 2p+1 is also prime
Spanish número primo de Sophie Germain
  • número primo de Sophie Germainprime number p where 2p+1 is also prime
Swedish Sophie Germainprimtal
  • Sophie Germainprimtalprime number p where 2p+1 is also prime
Tamil சோஃவி ஜெர்மேன் பகாத்தனி
  • சோஃவி ஜெர்மேன் பகாத்தனி (cōḥvi jermēṉ pakāttaṉi)prime number p where 2p+1 is also prime
Vietnamese số nguyên tố Sophie Germain
  • số nguyên tố Sophie Germainprime number p where 2p+1 is also prime

Rhymes & wordplay

Rhymes with Sophie Germain prime

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Cite this entry
APA

Sophie Germain prime. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Sophie%20Germain%20prime

MLA

“Sophie Germain prime.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sophie%20Germain%20prime. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sophie Germain prime,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Sophie%20Germain%20prime.

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