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Swedish Mathematical Competition
1965 Swedish Mathematical Competition
2
m^3 - n^3 = 999
m^3 - n^3 = 999
Source: 1965 Swedish Mathematical Competition p2
March 21, 2021
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integers m, n such that
m
3
ā
n
3
=
999
m^3 - n^3 = 999
m
3
ā
n
3
=
999
.
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