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India Pre-Regional Mathematical Olympiad
2013 India PRMO
1
2013 preRMO p1 k(3^3 + 4^3 + 5^3) = a^n
2013 preRMO p1 k(3^3 + 4^3 + 5^3) = a^n
Source:
August 8, 2019
number theory
minimum
Problem Statement
What is the smallest positive integer
k
k
k
such that
k
(
3
3
+
4
3
+
5
3
)
=
a
n
k(3^3 + 4^3 + 5^3) = a^n
k
(
3
3
+
4
3
+
5
3
)
=
a
n
for some positive integers
a
a
a
and
n
n
n
, with
n
>
1
n > 1
n
>
1
?
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