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Undergraduate contests
IMS
2014 IMS
11
11
Part of
2014 IMS
Problems
(1)
Three variable equation
Source: IMS 2014 - Day2 - Problem11
10/5/2014
Let the equation
a
2
+
b
2
+
1
=
a
b
c
a^2 + b^2 + 1=abc
a
2
+
b
2
+
1
=
ab
c
have answer in
N
\mathbb{N}
N
.Prove that
c
=
3
c=3
c
=
3
.
number theory proposed
number theory