MathDB

diophantine 3 x 2^a + 1 = b^2

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2016 Shortlist N3 day1

September 23, 2021

number theoryDiophantine equationdiophantine

Problem Statement

Find all nonnegative integers

a

and

b

that satisfy the equation

3 \cdot 2^a + 1 = b^2.