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Austrian-Polish
1986 Austrian-Polish Competition
4
m,n and N
m,n and N
Source: 9th Austrian Polish 1986
August 14, 2016
number theory
Problem Statement
Find all triples (m,n,N) of positive integers numbers m,n and N such that
m
N
ā
n
N
=
2
100
m^N-n^N=2^{100}
m
N
ā
n
N
=
2
100
with N>1
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