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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...

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...

these alternate statements characterizing primality are related to Wilson's theorem, or are restatements of this classical result given in terms of other...

specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow...

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:...

{\displaystyle !} " denotes the factorial function; compare this with Wilson's theorem, which states that every prime p {\displaystyle p} divides ( p − 1...

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...

1000 AD, the Islamic mathematician Ibn al-Haytham (Alhazen) found Wilson's theorem, characterizing the prime numbers as the numbers n {\displaystyle n}...

Mount Wilson Wilson County (disambiguation) Wilson Township (disambiguation) Wilson's bird-of-paradise Wilson's magnolia (Magnolia wilsonii) Wilson's phalarope...

John Wilson (6 August 1741, Applethwaite, Westmorland – 18 October 1793, Kendal, Westmorland) was an English mathematician and judge. Wilson's theorem is...

(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...

lemma Ultraparallel theorem Urysohn's lemma Van der Waerden's theorem Wilson's theorem Zorn's lemma Bellman–Ford algorithm (to do) Euclidean algorithm...

A pivotal result about graph pseudorandomness is the Chung–Graham–Wilson theorem, which states that many of the above conditions are equivalent, up to...

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...

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...

Wiener–Ikehara theorem (number theory) Wigner–Eckart theorem (Clebsch–Gordan coefficients) Wilkie's theorem (model theory) Wilson's theorem (number theory)...

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...

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...

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,...

approximation Subfactorial Table of Newtonian series Taylor series Trinomial expansion Vandermonde's identity Wilson prime Wilson's theorem Wolstenholme prime...