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Korea Junior Mathematics Olympiad
2013 Korea Junior Math Olympiad
4
4
Part of
2013 Korea Junior Math Olympiad
Problems
(1)
exists prime p so that min n such p|2^n-1 is 3^{2013}
Source: KJMO 2013 p4
5/1/2019
Prove that there exists a prime number
p
p
p
such that the minimum positive integer
n
n
n
such that
p
∣
2
n
−
1
p|2^n -1
p
∣
2
n
−
1
is
3
2013
3^{2013}
3
2013
.
number theory
prime numbers
minimum
divides