Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.

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