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1997 Slovenia Team Selection Test
6
if 2^p +3^p = a^n for some integer n, then n = 1
if 2^p +3^p = a^n for some integer n, then n = 1
Source: Slovenia TST 1997 p6
February 15, 2020
number theory
prime
Problem Statement
Let
p
p
p
be a prime number and
a
a
a
be an integer. Prove that if
2
p
+
3
p
=
a
n
2^p +3^p = a^n
2
p
+
3
p
=
a
n
for some integer
n
n
n
, then
n
=
1
n = 1
n
=
1
.
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