MathDB

2

Part of 2010 Junior Balkan MO

Problems(1)

JBMO 2010. Problem 2.

Source:

6/20/2010
Find all integers nn, n≥1n \ge 1, such that n⋅2n+1+1n \cdot 2^{n+1}+1 is a perfect square.
inductioninequalitiesnumber theoryprime factorizationnumber theory proposed