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India Pre-Regional Mathematical Olympiad
2019 India PRMO
6
Simple NT Problem
Simple NT Problem
Source:
August 11, 2019
number theory
Diophantine equation
Problem Statement
Let
a
b
c
‾
\overline{abc}
ab
c
be a three digit number with nonzero digits such that
a
2
+
b
2
=
c
2
a^2 + b^2 = c^2
a
2
+
b
2
=
c
2
. What is the largest possible prime factor of
a
b
c
‾
\overline{abc}
ab
c
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