In number theory, Sophie Germain's theorem is a statement about the divisibility of solutions to the equation x p + y p = z p {\displaystyle x^{p}+y^{p}=z^{p}} of Fermat's Last Theorem for odd prime p {\displaystyle p} .
Specifically, Sophie Germain proved that at least one of the numbers x {\displaystyle x} , y {\displaystyle y} , z {\displaystyle z} must be divisible by p 2 {\displaystyle p^{2}} if an auxiliary prime q {\displaystyle q} can be found such that two conditions are satisfied:
Conversely, the first case of Fermat's Last Theorem (the case in which p {\displaystyle p} does not divide x y z {\displaystyle xyz} ) must hold for every prime p {\displaystyle p} for which even one auxiliary prime can be found.
Germain identified such an auxiliary prime q {\displaystyle q} for every prime less than 100. The theorem and its application to primes p {\displaystyle p} less than 100 were attributed to Germain by Adrien-Marie Legendre in 1823.[1]
British economist and politician (born 1940) This biography of a living person needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately from the article and its talk page, especially if potentially libelous.Find sources: Meghnad Desai, Baron Desai – news · newspapers · books · scholar · JSTOR (March 2011) (Learn how and whe…
Кордобілья-де-ЛакараCordobilla de Lácara Герб {{{official_name}}}ГербМуніципалітетКраїна ІспаніяАвтономна спільнота ЕстремадураПровінція БадахосКоординати 39°07′59″ пн. ш. 6°25′59″ зх. д. / 39.133° пн. ш. 6.433° зх. д. / 39.133; -6.433Координати: 39°07′59″ пн. ш. 6°25
American animated television series This article is about the Hanna-Barbera cartoon. For the cranes in Belfast, see Samson and Goliath (cranes). For other uses, see Samson & Goliath (disambiguation). Samson & GoliathAlso known asYoung SamsonGenreSuperheroCreated byWilliam HannaJoseph BarberaWritten byTony BenedictWalter BlackDalton SandiferEd BrandtDirected byJoseph BarberaWilliam HannaVoices ofTim MathesonDon MessickJohn StephensonNarrated byDon MessickTheme music composerTed NicholsCou…
Dutch politician This biography of a living person needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately from the article and its talk page, especially if potentially libelous.Find sources: Tineke Huizinga – news · newspapers · books · scholar · JSTOR (March 2019) (Learn how and when to remove this template message) Tine…
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Historia de rebus gestis Frederici II imperatoris[1] o Historia de las gestas de Federico II emperador y de sus hijos Conrado, Manfredo Apuleo en Sicilia del año 1210 a el año 1258, es el título atribuido al fragmento Muratoriano de una importante crónica medieval de la época Sveda anónimo y sin inscripciones. Coronación de Manfredo. Miniatura en una edición de la Nova Cronica de Villani Historia La historia señalada en el fragmento se refiere al período de tiempo que se indica …
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English chess player and writer Baruch Harold WoodOBEWood (in middle, seated, with back to camera), Hoogovens tournament 1948BornBaruch Harold Wood(1909-07-13)13 July 1909Sheffield, EnglandDied4 April 1989(1989-04-04) (aged 79)Sutton Coldfield, EnglandOccupationChess writer Baruch Harold Wood OBE (13 July 1909 – 4 April 1989) was an English chess player, editor and author. He was born in Ecclesall, Sheffield, England. Playing career Between 1938 and 1957, Wood won the championship of…
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Copa del Rey de Hockey PatinesSportRoller hockeyFounded1944No. of teams8CountrySpainMost recentchampion(s)FC BarcelonaMost titlesFC Barcelona(25 titles)TV partner(s)Teledeporte, Esport3, RFEP TVOfficial websitewww.fep.es The Copa del Rey de Hockey Patines is an annual Spanish rink hockey competition which is contested by eight teams. It held every year at a neutral venue. The first eight teams in standings just to half-season take part in Copa del Rey. The Copa del Rey's winners play in the next…
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This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Your Mother's Got a Penis – news · newspapers · books · scholar · JSTOR (May 2016) (Learn how and when to remove this template message) 2004 single by Goldie Lookin' ChainYour Mother's Got a PenisCensored coverSingle by Goldie Lookin' Chainfrom the album Greatest …
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Democratic Constituent Congress – news · newspapers · books · scholar · JSTOR (July 2021) (Learn how and when to remove this template message) Democratic Constituent Congress Congreso Constituyente DemocráticoRepublic of PeruTypeTypeUnicameral HistoryEstablished2…
يفتقر محتوى هذه المقالة إلى الاستشهاد بمصادر. فضلاً، ساهم في تطوير هذه المقالة من خلال إضافة مصادر موثوق بها. أي معلومات غير موثقة يمكن التشكيك بها وإزالتها. (فبراير 2016) العقرمي تقسيم إداري البلد اليمن مديرية مديرية مذيخره المسؤولون محافظة محافظة إب السكان التعداد السكان…
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This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Kamakiriad – news · newspapers · books · scholar · JSTOR (June 2011) (Learn how and when to remove this template message) 1993 studio album by Donald FagenKamakiriadStudio album by Donald FagenReleasedMay 25, 1993Recorded1990–93StudioRiver Sound, Clinton…
Aeroméxico IATA ICAO Kode panggil AM AMX AEROMEXICO Didirikan14 September 1934 (sebagai Aeronaves de México S.A. de C.V.)Mulai beroperasi14 September 19341 Oktober 1988 (sebagai Aerovias de México S.A. de C.V.)PenghubungBandara Kota MeksikoKota fokusBandara GuadalajaraBandara MonterreyProgram penumpang setiaClub PremierLounge bandaraSalón PremierAliansiSkyTeamArmada88Tujuan89SloganMexico's Global AirlinePerusahaan indukGrupo AeroméxicoKantor pusatKota Meksiko, MeksikoTokoh utamaAndrés Cone…
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