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Pan African
2004 Pan African
1
Existence of m and n
Existence of m and n
Source: Pan African 2004
October 4, 2005
number theory
modular arithmetic
Problem Statement
Do there exist positive integers
m
m
m
and
n
n
n
such that:
3
n
2
+
3
n
+
7
=
m
3
3n^2+3n+7=m^3
3
n
2
+
3
n
+
7
=
m
3
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