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min positive value of 36^k - 5^m (2016 Auckland MO S4)
min positive value of 36^k - 5^m (2016 Auckland MO S4)
Source:
November 13, 2021
number theory
min
minimum
Problem Statement
Find the smallest positive value of
3
6
k
ā
5
m
36^k - 5^m
3
6
k
ā
5
m
, where
k
k
k
and
m
m
m
are positive integers.
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