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- In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers...17 KB (2,320 words) - 23:47, 9 August 2024
- Agoh–Giuga conjecture bears a similarity to Wilson's theorem, which has been proven to be true. Wilson's theorem states that a number p is prime if and only...4 KB (664 words) - 19:05, 23 December 2020
- these alternate statements characterizing primality are related to Wilson's theorem, or are restatements of this classical result given in terms of other...5 KB (667 words) - 15:10, 25 August 2024
- specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow...33 KB (4,393 words) - 16:25, 8 August 2024
- Euler's theorem: a φ ( n ) ≡ 1 ( mod n ) . {\displaystyle a^{\varphi (n)}\equiv 1{\pmod {n}}.} Carmichael number Euler's criterion Wilson's theorem See:...9 KB (1,149 words) - 18:09, 9 June 2024
- {\displaystyle !} " denotes the factorial function; compare this with Wilson's theorem, which states that every prime p {\displaystyle p} divides ( p − 1...13 KB (1,096 words) - 00:41, 4 May 2023
- is the floor function, which rounds down to the nearest integer. By Wilson's theorem, n + 1 {\displaystyle n+1} is prime if and only if n ! ≡ n ( mod n...23 KB (3,847 words) - 18:30, 26 August 2024
- Prime number (redirect from Euclidean prime number theorem)1000 AD, the Islamic mathematician Ibn al-Haytham (Alhazen) found Wilson's theorem, characterizing the prime numbers as the numbers n {\displaystyle n}...116 KB (14,108 words) - 23:59, 15 August 2024
- Mount Wilson Wilson County (disambiguation) Wilson Township (disambiguation) Wilson's bird-of-paradise Wilson's magnolia (Magnolia wilsonii) Wilson's phalarope...6 KB (673 words) - 01:40, 8 June 2024
- John Wilson (6 August 1741, Applethwaite, Westmorland – 18 October 1793, Kendal, Westmorland) was an English mathematician and judge. Wilson's theorem is...2 KB (135 words) - 13:53, 21 August 2023
- (also known as Alhazen, c. 965 – c. 1040) was the first to formulate Wilson's theorem connecting the factorials with the prime numbers. In Europe, although...70 KB (8,433 words) - 05:58, 26 August 2024
- List of mathematical proofs (section Theorems of which articles are primarily devoted to proving them)lemma Ultraparallel theorem Urysohn's lemma Van der Waerden's theorem Wilson's theorem Zorn's lemma Bellman–Ford algorithm (to do) Euclidean algorithm...6 KB (593 words) - 20:11, 5 June 2023
- Pseudorandom graph (redirect from Chung–Graham–Wilson theorem)A pivotal result about graph pseudorandomness is the Chung–Graham–Wilson theorem, which states that many of the above conditions are equivalent, up to...16 KB (2,750 words) - 14:25, 16 February 2024
- 28243} is the Glaisher–Kinkelin constant. According to an analogue of Wilson's theorem on the behavior of factorials modulo prime numbers, when p {\displaystyle...4 KB (526 words) - 03:56, 12 March 2024
- interpolated by the Barnes G-function. According to an analogue of Wilson's theorem on the behavior of factorials modulo prime numbers, when p {\displaystyle...4 KB (478 words) - 22:04, 3 February 2023
- Wiener–Ikehara theorem (number theory) Wigner–Eckart theorem (Clebsch–Gordan coefficients) Wilkie's theorem (model theory) Wilson's theorem (number theory)...73 KB (6,015 words) - 12:17, 2 August 2024
- an integer by Wilson's theorem; moreover, if p is composite, the quotient is not an integer. If p divides W(p), it is called a Wilson prime. The integer...1 KB (219 words) - 07:55, 18 November 2022
- to satisfy a2 + 1 ≡ 0 mod p. (Such an "a" is guaranteed for "p" by Wilson's theorem.) In general, the solution whose existence is asserted by Thue's lemma...5 KB (764 words) - 16:01, 7 August 2024
- provided k is coprime with m. Wilson's theorem: p is prime if and only if (p − 1)! ≡ −1 (mod p). Chinese remainder theorem: For any a, b and coprime m,...29 KB (3,602 words) - 18:28, 25 August 2024
- approximation Subfactorial Table of Newtonian series Taylor series Trinomial expansion Vandermonde's identity Wilson prime Wilson's theorem Wolstenholme prime...2 KB (218 words) - 16:34, 12 March 2022
- another' (see p. 186). At p. 27, Theorem 14, is a new proof of Euc. I. 24, apparently an amended version of Mr. Wilson's five-case proof, which I discussed
- (1801) Disquisitiones Arithmeticae, Article 76. About the proof of Wilson's theorem. The problem of distinguishing prime numbers from composite numbers
- Wilson's theorem A natural number α {\displaystyle \alpha } is a prime number, if and only if: ( α − 1 ) ! ≡ − 1 ( mod α ) {\displaystyle (\alpha -1)!\equiv