MathDB
a^k = a^l + a^m+a^n diophantine in N+

Source: 1997 Estonia National Olympiad Final Round grade 10 p1

March 13, 2020
diophantineDiophantine equationnumber theory

Problem Statement

Find: a) Any quadruple of positive integers (a,k,l,m)(a, k, l, m) such that ak=al+am,a^k = a^l + a^m, b) Any quintuple of positive integers (a,k,l,m,n)(a, k, l, m, n) for which ak=al+am+ana^k = a^l + a^m+a^n
Back to ProblemsView on AoPS