Let P (P + 1) + 22 be all prime numbers of a complete square, and p be______ ．

Let P (P + 1) + 22 be all prime numbers of a complete square, and p be______ ．

Let P (P + 1) + 22 = A2, so p (P + 1) = 2a2-2 = 2 (a + 1) (A-1), because P is prime, so 1 p = A-1 or 2 P = a + 1 or 3 P = 2, 1 when p = A-1, let A-1 = KP, (k is a positive integer ≥ 1), so a = KP + 1, so p (P + 1) = 2kp (KP + 2), so p + 1 = 2K (KP + 2), then

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