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Serbia Contests
Serbia Team Selection Test
1979 Yugoslav Team Selection Test
Problem 2
Problem 2
Part of
1979 Yugoslav Team Selection Test
Problems
(1)
n s.t. gcd(m,n)=1->n prime
Source: Yugoslav TST 1979 P2
5/30/2021
Find all integers
n
n
n
with
1
<
n
<
1979
1<n<1979
1
<
n
<
1979
having the following property: If
m
m
m
is an integer coprime with
n
n
n
and
1
<
m
<
n
1<m<n
1
<
m
<
n
, then
m
m
m
is a prime number.
number theory