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Putnam
1998 Putnam
6
1998 Putnam B6
1998 Putnam B6
Source:
April 19, 2013
Putnam
geometry
3D geometry
modular arithmetic
college contests
Problem Statement
Prove that, for any integers
a
,
b
,
c
a,b,c
a
,
b
,
c
, there exists a positive integer
n
n
n
such that
n
3
+
a
n
2
+
b
n
+
c
\sqrt{n^3+an^2+bn+c}
n
3
+
a
n
2
+
bn
+
c
is not an integer.
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