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The class number of<i>Q</i>(√p) modulo 4, for<i>p</i>≡ 5(mod8) a prime
Let p = 5 (mod 8) be a prime.Let h(p) denote the class number of the real quadratic field Q(V p).It is well-known that h(p) = 1 (mod 2).In this paper the residue of h(p) modulo 4 is determined.