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2011 Armenian Republican Olympiads
Problem 3
Problem 3 Day1
Problem 3 Day1
Source: 2011 Armenian Republican Olympiad
August 1, 2016
number theory
Problem Statement
Find all integers
a
,
m
,
n
,
k
,
a, m, n, k,
a
,
m
,
n
,
k
,
such that
(
a
m
+
1
)
(
a
n
ā
1
)
=
1
5
k
.
(a^m+1)(a^n-1)=15^k.
(
a
m
+
1
)
(
a
n
ā
1
)
=
1
5
k
.
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