MathDB

3

Part of 2013 Swedish Mathematical Competition

Problems(1)

1 + p^n = m^3

Source: 2013 Swedish Mathematical Competition p3

4/30/2021
Determine all primes pp and all non-negative integers mm and nn, such that 1+pn=m3.1 + p^n = m^3.
Diophantine equationdiophantinenumber theory