m> 1, [(m-1)! + 1] / M = a, a is an integer, it is proved that M is prime

It is proved that if M is not a prime number and the minimum prime factor of M is p (P > 2), then M-1 > = P ^ 2-1 = (p-1) (P + 1) > = P + 1 > P, obviously P | (m-1)! + 1, obviously P | (m-1)! + 1 = > P | ((m-1)! + 1 - (m-1)!) = > P | (1), so the reverse proposition is not tenable, that is to say, the original proposition is tenable

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