MathDB
p divides q - 1

Source: Baltic Way 2005/16 - Proposed by me

November 9, 2005
number theorygreatest common divisornumber theory proposed

Problem Statement

Let nn be a positive integer, let pp be prime and let qq be a divisor of (n+1)p−np(n + 1)^p - n^p. Show that pp divides q−1q - 1.
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