Agoh-Giuga Conjecture  (English, Paperback, Agnes F. Vandome, Frederic P. Miller, John McBrewster)

High Quality Content by WIKIPEDIA articles In number theory the Agoh-Giuga conjecture on the Bernoulli numbers Bk postulates that p is a prime number if and only if: pB_{p-1} equiv -1 pmod p. The conjecture as stated is due to Takashi Agoh (1990); an equivalent formulation is due to Giuseppe Giuga, from 1950, to the effect that p is prime iff.