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National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1994 Swedish Mathematical Competition
4
4
Part of
1994 Swedish Mathematical Competition
Problems
(1)
2n^3 - m^3 = mn^2 + 11
Source: 1994 Swedish Mathematical Competition p4
4/2/2021
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
.
number theory
diophantine
Diophantine equation