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Balkan TSTp3.1

Source: Azerbaijan Balkan TST 2016 No 3

October 20, 2016
number theory

Problem Statement

Find all nn natural numbers such that for each of them there exist p,qp , q primes such that these terms satisfy.
1.1. p+2=qp+2=q 2.2. 2n+p2^n+p and 2n+q2^n+q are primes.
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