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...

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:...

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

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

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...

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

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

(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...