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infinitely many such primes

Source:

February 28, 2012
number theoryprime numbersnumber theory proposed

Problem Statement

Prove that there are infinitely many prime numbers that divide at least one integer of the form 2n3+1āˆ’3n2+1+5n+12^{n^3+1}-3^{n^2+1}+5^{n+1} where nn is a positive integer.