In number theory the Agoh–Giuga conjecture on the Bernoulli numbers Bk postulates that p is a prime number if and only if p B p − 1 ≡ − 1 ( mod p ) ....

cubes? Can every integer be written as a sum of four perfect cubes? Agoh–Giuga conjecture on the Bernoulli numbers that p {\displaystyle p} is prime if and...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

is a primitive root modulo m. Wilson prime Table of congruences Agoh–Giuga conjecture Because if a ≡ a − 1 ( mod p ) {\displaystyle a\equiv a^{-1}{\pmod...

function Basel problem on ζ(2) Hurwitz zeta function Bernoulli number Agoh–Giuga conjecture Von Staudt–Clausen theorem Dirichlet series Euler product Prime...

Alternative definition for a Giuga number due to Takashi Agoh is: a composite number n is a Giuga number if and only if the congruence n B φ ( n ) ≡ − 1...

have and do have deep arithmetical properties. For example, the Agoh–Giuga conjecture postulates that p is a prime number if and only if pBp − 1 is congruent...