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2016 Greece Junior Math Olympiad
1
Easy Number Theory
Easy Number Theory
Source: Greece Archimedes Junior 2016
March 16, 2020
number theory
Problem Statement
If
n
n
n
is positive integer and
p
,
q
,
r
p, q, r
p
,
q
,
r
are primes solve the system:
p
q
r
=
n
pqr=n
pq
r
=
n
and
(
p
+
1
)
(
q
+
1
)
r
=
n
+
138
(p+1)(q+1)r=n+138
(
p
+
1
)
(
q
+
1
)
r
=
n
+
138
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