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Ireland National Math Olympiad
1996 Irish Math Olympiad
3
prime number
prime number
Source: Ireland 1996
July 1, 2009
number theory unsolved
number theory
Problem Statement
Suppose that
p
p
p
is a prime number and
a
a
a
and
n
n
n
positive integers such that: 2^p\plus{}3^p\equal{}a^n. Prove that n\equal{}1.
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