Prove that for any integer $a$ there exist infinitely many positive integers $n$ such that $a^{2^n}+2^n$ is not a prime. proposed by S. Berlov
Problem
Source: 239MO 2004, grade 8-9 and 10-11, problem 3
Tags: number theory unsolved, number theory
Source: 239MO 2004, grade 8-9 and 10-11, problem 3
Tags: number theory unsolved, number theory
Prove that for any integer $a$ there exist infinitely many positive integers $n$ such that $a^{2^n}+2^n$ is not a prime. proposed by S. Berlov