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Swedish Mathematical Competition
1994 Swedish Mathematical Competition
4
2n^3 - m^3 = mn^2 + 11
2n^3 - m^3 = mn^2 + 11
Source: 1994 Swedish Mathematical Competition p4
April 2, 2021
number theory
diophantine
Diophantine equation
Problem Statement
Find all integers
m
,
n
m, n
m
,
n
such that
2
n
3
ā
m
3
=
m
n
2
+
11
2n^3 - m^3 = mn^2 + 11
2
n
3
ā
m
3
=
m
n
2
+
11
.
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