MathDB

Exponential NT

Source: Romania EGMO TST 2021 Day 2 P4

November 23, 2022

number theoryromania

Problem Statement

Determine all non-negative integers

n

for which there exist two relatively prime non-negative integers

x

and

y

and a positive integer

k\geqslant 2

such that

3^n=x^k+y^k