MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
117
117
Part of
PEN A Problems
Problems
(1)
A 117
Source:
5/25/2007
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
.
Divisibility Theory
pen