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 x 4 + 4 y 4 = ( ( x + y ) 2 + y 2 ) ⋅ (...

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...

integers 5051 – Sophie Germain prime 5059 – super-prime 5076 – decagonal number 5077 – prime of the form 2p-1 5081 – Sophie Germain prime 5087 – 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}}...

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

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...

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...

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...

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

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...

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...

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

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...

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

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...

2^{16998}+1} , saying that it is the largest known Germain prime. Although it is a prime and also a Sophie Germain prime, since twice that number plus one ( 92305...

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

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...

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...

3511 Primes p {\displaystyle p} satisfying 2p−1 ≡ 1 (mod p2). A001220 Sophie Germain primes 2, 3, 5, 11, 23, 29, 41, 53, 83, 89, ... A prime number p such...

the integer following 910 and preceding 912. It is a prime number, a Sophie Germain prime, and the sum of three consecutive primes (293 + 307 + 311). It...

contains no women. The list has been criticized for excluding the name of Sophie Germain, a noted French mathematician whose work on the theory of elasticity...

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...

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

matrix of order 7 under separate row and column permutations 911 = Sophie Germain prime number, also the emergency telephone number in North America 912...

believed conjectures about prime numbers, for example, the infinitude of Sophie Germain primes congruent to 3 (mod 4). For these primes p, 2p + 1 (which is...