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2014 SDMO (Middle School)
1
Mix of Pythagorean Triples and Fermat's Last Theorem
Mix of Pythagorean Triples and Fermat's Last Theorem
Source: 2014 SDMO Middle School Problem 1
August 28, 2016
Problem Statement
Find the smallest positive three-digit integer
n
n
n
such that
3
n
+
4
n
3^n+4^n
3
n
+
4
n
is divisible by
5
5
5
.
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