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Saint-Germain-en-Laye is a commune in the Yvelines department in the Île-de-France in north-central France. It is located in the western suburbs of Paris, 19.1 km (11.9 mi) from the centre of Paris.
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes are named after French mathematician Sophie Germain, who used them in her investigations of Fermat's Last Theorem. One attempt by Germain to prove Fermat’s Last Theorem was to let p be a prime number of the form 8k + 7 and to let n = p – 1. In this case, is unsolvable. Germain’s proof, however, remained unfinished. Through her attempts to solve Fermat's Last Theorem, Germain developed a result now known as Germain's Theorem which states that if p is an odd prime and 2p + 1 is also prime, then p must divide x, y, or z. Otherwise, . This case where p does not divide x, y, or z is called the first case. Sophie Germain’s work was the most progress achieved on Fermat’s last theorem at that time. Later work by Kummer and others always divided the problem into first and second cases. Sophie Germain primes and safe primes have applications in public key cryptography and primality testing. It has been conjectured that there are infinitely many Sophie Germain primes, but this remains unproven.
Paris Saint-Germain Football Club, commonly referred to as Paris Saint-Germain, Paris, Paris SG or simply PSG is a professional football club based in Paris, France. They compete in Ligue 1, the top division of French football. As France's most successful club, they have won over 40 official honours, including eleven league titles and one major European trophy. Their home ground is the Parc des Princes located in the 16th arrondissement of Paris near the commune Boulogne-Billancourt.
Saint-Germain-de-Livet is a commune south of Lisieux in the Calvados department in the Normandy region in northwestern France.
The Garn–St Germain Depository Institutions Act of 1982 is an Act of Congress that deregulated savings and loan associations and allowed banks to provide adjustable-rate mortgage loans. It is disputed whether the act was a mitigating or contributing factor in the savings and loan crisis of the late 1980s.
Paris Football Club, commonly referred to as Paris FC or simply PFC, is a French professional football club based in Paris, that competes in the Ligue 2, the second tier of French football. Paris FC play their home matches at the Stade Charléty, which is located in the 13th arrondissement of Paris.
Saint-Germain-du-Seudre is a small historic town on the Gironde estuary. It is a commune in the Charente-Maritime department in southwestern France.
Saint-Germain-sous-Doue is a commune in the Seine-et-Marne department in the Île-de-France region in north-central France.
Saint-Germain-sur-Morin is a commune in the Seine-et-Marne department in the Île-de-France region in north-central France.
Ron Saint Germain is an American record producer, audio engineer, and mixer born in post-war Frankfurt, Germany, into a career Air Force family.
Villeneuve-Saint-Germain is a commune in the Aisne department in Hauts-de-France in northern France.
Saint-Germain-le-Rocheux is a commune in the Côte-d'Or department in eastern France.
Saint-Germain-lès-Senailly is a commune in the Côte-d'Or department in eastern France.
Châtel-Saint-Germain is a commune in the Moselle department in Grand Est in north-eastern France.
Saint-Germain-d'Aunay is a commune in the Orne department in the Normandy region of France with a population of 144 inhabitants (2018).
Saint-Germain-de-Clairefeuille is a commune in the Orne department in north-western France.
Saint-Germain-Lembron is a commune in the Puy-de-Dôme department in the Auvergne-Rhône-Alpes region in central France.
Saint-Germain-sur-Bresle is a commune in the Somme department in Hauts-de-France in northern France.
Germain Muller, was a French playwright, poet, songwriter, actor, humourist, politician and a prominent figure in Alsatian culture. In 1946, he cofounded De Barabli, the most popular Alsatian language satirical cabaret. He was later elected a Strasbourg city councillor.
FC Barcelona did not repeat its successful season in 1993–94, and fell back to fourth in La Liga, as well as knocked out of the Champions League in the quarter-finals by Paris Saint-Germain.
References
- ↑ "Ronald Germain".
- ↑ Maxmen, Amy (2010). "Ron Germain: Towards a grand unified theory". The Journal of Experimental Medicine. 207 (2): 266–267. doi:10.1084/jem.2072pi. ISSN 0022-1007. PMC 2822612 . PMID 20156977.
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