MathDB

3 x 2^m + 1 = n^2

Source: New Zealand NZMOC Camp Selection Problems 2011 Juniors 6

September 18, 2021

Diophantine equationdiophantinenumber theory

Problem Statement

Find all pairs of non-negative integers

m

and

n

that satisfy

3 \cdot 2^m + 1 = n^2.