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It is known that for every integer $n > 1$ there is a prime

Source: Estonia IMO TST 1997 Day2P3

November 27, 2015
number theory

Problem Statement

It is known that for every integer n>1n > 1 there is a prime number among the numbers n+1,n+2,...,2nāˆ’1.n+1,n+2,...,2n-1. Determine all positive integers nn with the following property: Every integer m>1m > 1 less than nn and coprime to nn is prime.
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