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2

Part of 2016 Benelux

Problems(1)

Benelux Mathematical Olympiad 2016, Problem 2

Source:

5/1/2016
Let nn be a positive integer. Suppose that its positive divisors can be partitioned into pairs (i.e. can be split in groups of two) in such a way that the sum of each pair is a prime number. Prove that these prime numbers are distinct and that none of these are a divisor of n.n.
number theory