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MATHEMATICS: W. HUREWICZ years (private communication), that the solutions given in Table 2 are the only possible solutions in positive integer values of n and w (n > w) of equation (8). Dr. W. Ljunggren (private communication) has independently confirmed Dr. Skolem's statement. The three lower pairs of values given in Table 2 satisfy equation (8) and are given in parentheses for completeness, but are not in agreement with Gaunt's condition n > 2. When n > 2, Table 2 represents supplementary selection rules to those found by Gaunt for integral (7). I am indebted to Drs. Th. Skolem and W. Ljunggren, of the Institutes of Mathematics of the Universities of Oslo and Bergen, respectively, for solving the numbertheory problems in this discussion and to Mr. Oddmund Kolberg for suggesting the transformation of equation (8) into equation (9) that made it possible to use standard methods for solving equation (8).