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239 Open Math Olympiad
2008 239 Open Mathematical Olympiad
7
Number theory equation
Number theory equation
Source: 239 2008 S7
July 28, 2020
number theory
Problem Statement
Find all natural numbers
n
,
k
n, k
n
,
k
such that
2
n
–
5
k
=
7.
2^n – 5^k = 7.
2
n
–
5
k
=
7.
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