MathDB

3

Part of 2004 239 Open Mathematical Olympiad

Problems(1)

a^{2^n}+2^n is not prime

Source: 239MO 2004, grade 8-9 and 10-11, problem 3

12/11/2004
Prove that for any integer aa there exist infinitely many positive integers nn such that a2n+2na^{2^n}+2^n is not a prime. proposed by S. Berlov
number theory unsolvednumber theory