Theorem. Let n > 2 denote an integer, D the square-free part of 2(n) = 1 and h the class number of the field Q[root-D]. Then except for the case n = 6, n 2 divides h.
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Ankeny NC., 1955, Pac. J. Math, V5, P321, DOI DOI 10.2140/PJM.1955.5.321