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2021-IMOC qualification
N1
Mersenne primes
Mersenne primes
Source: 2021 IMOC qualification problems, N1
December 30, 2021
IMOC
number theory
Problem Statement
Prove: if
2
2
n
−
1
−
1
2^{2^n-1}-1
2
2
n
−
1
−
1
is a prime, then
n
n
n
is a prime.
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