Elsevier

Journal of Number Theory

Volume 13, Issue 4, November 1981, Pages 485-494
Journal of Number Theory

On the equation 4n = 1x + 1y + 1z

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Abstract

It is proved that for any given positive integers N and k the number of integers n < N for which the equation 4n = 1x + 1y + 1z is unsolvable in positive integers x, y, z is not greater than cN(log N)k, where c is a constant depending only on k.

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