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Find prime number

Source: China Western Mathematical Olympiad 2012 P8

September 29, 2012
number theory proposednumber theory

Problem Statement

Find all prime number pp, such that there exist an infinite number of positive integer nn satisfying the following condition: p∣nn+1+(n+1)n.p|n^{ n+1}+(n+1)^n.
(September 29, 2012, Hohhot)
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