MathDB
Estonian Math Competitions 2006/2007

Source: Seniors Problem 3

July 29, 2008
number theory unsolvednumber theory

Problem Statement

Let b b be an even positive integer for which there exists a natural number n such that n>1 n>1 and \frac{b^n\minus{}1}{b\minus{}1} is a perfect square. Prove that b b is divisible by 8.
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