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2016 JBMO Shortlist
1
largest n so that n | p^6 - 1 for all primes p>7
largest n so that n | p^6 - 1 for all primes p>7
Source: JBMO 2016 Shortlist N1
October 14, 2017
JBMO
number theory
prime
Problem Statement
Determine the largest positive integer
n
n
n
that divides
p
6
ā
1
p^6 - 1
p
6
ā
1
for all primes
p
>
7
p > 7
p
>
7
.
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