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India Contests
India National Olympiad
1995 India National Olympiad
6
Find primes
Find primes
Source: INMO 1995 Problem 6
October 6, 2005
number theory
greatest common divisor
number theory solved
primes
Problem Statement
Find all primes
p
p
p
for which the quotient
2
p
−
1
−
1
p
\dfrac{2^{p-1} - 1 }{p}
p
2
p
−
1
−
1
is a square.
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