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B.Math 2008-GCD

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April 16, 2012
number theorygreatest common divisor

Problem Statement

If pp is a prime number and a>1a>1 is a natural number , then show that the greatest common divisor of the two numbers a−1a-1 and ap−1a−1\frac{a^p-1}{a-1} is either 11 or pp .
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