Marie-Sophie Germain (French: [maʁi sɔfi ʒɛʁmɛ̃]; 1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher. Despite initial...
36 KB (4,507 words) - 18:44, 18 August 2024
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...
23 KB (2,688 words) - 00:10, 26 August 2024
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 ) ⋅ (...
6 KB (869 words) - 14:19, 27 August 2024
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...
3 KB (135 words) - 05:55, 22 April 2024
integers 5051 – Sophie Germain prime 5059 – super-prime 5076 – decagonal number 5077 – prime of the form 2p-1 5081 – Sophie Germain prime 5087 – safe...
14 KB (1,454 words) - 13:44, 15 August 2024
6101 – Sophie Germain prime 6105 – triangular number 6113 – Sophie Germain prime, super-prime 6121 – prime of the form 2p-1 6131 – Sophie Germain prime...
11 KB (1,602 words) - 23:43, 29 August 2024
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}}...
3 KB (313 words) - 21:45, 14 December 2020
Fermat's Last Theorem (section Sophie Germain)
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...
103 KB (11,486 words) - 10:29, 1 September 2024
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...
15 KB (2,049 words) - 07:25, 14 July 2024
centered octagonal number 9029 – Sophie Germain prime 9041 – super-prime 9045 – triangular number 9059 – Sophie Germain prime 9072 – decagonal number 9077...
9 KB (1,006 words) - 06:08, 2 September 2024
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...
14 KB (2,039 words) - 01:34, 16 August 2024
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...
32 KB (4,571 words) - 12:49, 22 August 2024
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...
11 KB (1,245 words) - 08:53, 28 August 2024
into reciprocals of positive integers <= 17 Egyptian fraction 1013 = Sophie Germain prime, centered square number, Mertens function zero 1014 = 210-10,...
158 KB (25,903 words) - 15:32, 3 September 2024
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...
2 KB (254 words) - 04:10, 9 November 2022
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...
2 KB (196 words) - 19:41, 3 April 2019
8059 – super-prime 8069 – Sophie Germain prime 8093 – Sophie Germain prime 8100 = 902 8101 – super-prime 8111 – Sophie Germain prime 8117 – super-prime...
8 KB (1,033 words) - 15:47, 2 June 2024
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...
23 KB (3,935 words) - 03:54, 2 September 2024
List of prime numbers (section Sophie Germain 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...
107 KB (5,796 words) - 19:19, 14 August 2024
I of Russia Sophie Dawes, Baronne de Feuchères (c. 1795–1840), English baroness Sophie Germain (1776–1831), French mathematician Sophie Piper (1757–1816)...
14 KB (1,570 words) - 04:32, 25 August 2024
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...
13 KB (1,638 words) - 00:30, 16 August 2024
animation producer Ryo Germain, Japanese association football player Sophie Germain, French mathematician Tabitha St. Germain, Canadian stage and voice...
1 KB (190 words) - 09:39, 25 May 2024
identity Pfister's sixteen-square identity Sherman–Morrison formula Sophie Germain identity Sun's curious identity Sylvester's determinant identity Vandermonde's...
2 KB (175 words) - 11:10, 21 June 2024
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...
17 KB (633 words) - 10:47, 4 August 2024
Brooklyn, NY and Bronx, NY 719 = prime number, factorial prime (6! − 1), Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 +...
28 KB (4,004 words) - 18:57, 30 August 2024
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...
4 KB (586 words) - 01:41, 27 August 2024
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...
1 KB (229 words) - 17:20, 22 April 2024
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...
2 KB (262 words) - 19:09, 13 August 2024
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...
71 KB (6,416 words) - 17:00, 19 August 2024
matrix of order 7 under separate row and column permutations 911 = Sophie Germain prime number, also the emergency telephone number in North America 912...
29 KB (3,815 words) - 16:20, 14 August 2024