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National and Regional Contests
Canada Contests
Canadian Open Math Challenge
1996 Canadian Open Math Challenge
4
4
Part of
1996 Canadian Open Math Challenge
Problems
(1)
Number Theory equation
Source:
1/26/2006
Determine the smallest positive integer,
n
n
n
, which satisfies the equation
n
3
+
2
n
2
=
b
n^3+2n^2 = b
n
3
+
2
n
2
=
b
, where
b
b
b
is the square of an odd integer.