Marie-Sophie Germain (French: [maʁi sɔfi ʒɛʁmɛ̃]; 1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher. Despite initial...

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...

In mathematics, Sophie Germain's identity is a polynomial factorization named after Sophie Germain stating that x4+4y4=((x+y)2+y2)⋅((x−y)2+y2)=(x2+2xy+2y2)⋅(x2−2xy+2y2)...

language. Look up five thousand in Wiktionary, the free dictionary. 5003 – Sophie Germain prime 5020 – amicable number with 5564 5021 – super-prime, twin prime...

The Sophie Germain Prize (in French: Prix Sophie Germain) is an annual mathematics prize awarded by the French Academy of Sciences to researchers who have...

Singmaster's conjecture) 3019 – super-prime, happy prime 3023 – 84th Sophie Germain prime, 51st safe prime 3025 = 552, sum of the cubes of the first ten...

in decimal, base 76, 90, 142, and 11 other non-trivial bases 2003 – Sophie Germain prime and the smallest prime number in the 2000s 2004 – Area of the...

6101 – Sophie Germain prime 6105 – triangular number 6113 – Sophie Germain prime, super-prime 6121 – prime of the form 2p-1 6131 – Sophie Germain prime...

square and n-queens problem for n = 20 4013 – balanced prime 4019 – Sophie Germain prime 4021 – prime of the form 2p-1 4027 – super-prime 4028 – sum of...

centered octagonal number 9029 – Sophie Germain prime 9041 – super-prime 9045 – triangular number 9059 – Sophie Germain prime 9072 – decagonal number 9077...

into reciprocals of positive integers <= 17 Egyptian fraction 1013 = Sophie Germain prime, centered square number, Mertens function zero 1014 = 210-10,...

number 7043 – Sophie Germain prime 7056 = 842 7057 – cuban prime of the form x = y + 1, super-prime 7073 – Leyland number 7079 – Sophie Germain prime, safe...

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}}...

8059 – super-prime 8069 – Sophie Germain prime 8093 – Sophie Germain prime 8100 = 902 8101 – super-prime 8111 – Sophie Germain prime 8117 – super-prime...

the conjecture was proved for only the primes 3, 5, and 7, although Sophie Germain innovated and proved an approach that was relevant to an entire class...

Sophie Germain primes of the form 2 p + 1 {\displaystyle 2p+1} , 11 is the third safe prime, from a p {\displaystyle p} of 5, and the fourth Sophie Germain...

232 and preceding 234. Additionally: 233 is a prime number 233 is a Sophie Germain prime, a Pillai prime, and a Ramanujan prime It is a Fibonacci number...

The lycée Sophie-Germain is a public, general and technology lycée in the 4th arrondissement of Paris. It was historically the lycée Charlemagne for girls...

A new mode called Sophie Germain Counter Mode (SGCM) has been proposed as a variant of the Galois/Counter Mode of operation for block ciphers. Instead...

thirty-one, which is also a primorial prime. Twenty-nine is also the sixth Sophie Germain prime. 29 is the sum of three consecutive squares, 22 + 32 + 42. 29...

twin primes. Inside other important integer sequences, 2 is the first Sophie Germain prime, the first factorial prime, the first Lucas prime, and the first...

isolated prime. 53 is a sexy prime with 47 and 59. It is the eighth Sophie Germain prime, and the ninth Eisenstein prime. The sum of the first 53 primes...

5, 7, 11, 13 (OEIS: A165255) Where p and 2p + 1 are both prime. A Sophie Germain prime has a corresponding safe prime. 2, 3, 5, 11, 23, 29, 41, 53, 83...

I of Russia Sophie Dawes, Baronne de Feuchères (c. 1795–1840), English baroness Sophie Germain (1776–1831), French mathematician Sophie Piper (1757–1816)...

part of the form 3 n − 1. {\displaystyle 3n-1.} It is also the fifth Sophie Germain prime and the fourth safe prime, and the next to last member of the...

into odd parts, number of acres in a square mile 641 = prime number, Sophie Germain prime, factor of 4294967297 (the smallest nonprime Fermat number), Chen...

doubling and adding one produces another prime number (383), 191 is a Sophie Germain prime. It is the smallest prime that is not a full reptend prime in...

identity Pfister's sixteen-square identity Sherman–Morrison formula Sophie Germain identity Sun's curious identity Sylvester's determinant identity Vandermonde's...

American animation producer Sophie Germain, French mathematician Tabitha St. Germain, Canadian stage and voice actress Valère Germain, French association football...

preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime, an emirp, an isolated prime, a Chen prime and a Proth prime as...