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PEN A Problems
117
A 117
A 117
Source:
May 25, 2007
Divisibility Theory
pen
Problem Statement
Find the smallest positive integer
n
n
n
such that
2
1989
∣
m
n
−
1
2^{1989}\; \vert \; m^{n}-1
2
1989
∣
m
n
−
1
for all odd positive integers
m
>
1
m>1
m
>
1
.
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