MathDB

NT4

Part of 2018 JBMO Shortlist

Problems(1)

JBMO 2018. Shortlist NT

Source:

7/7/2019
Prove that there exist infinitely many positive integers nn such that 4n+2n+1n2+n+1\frac{4^n+2^n+1}{n^2+n+1} is a positive integer.
number theory