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1
Prime numbers in an equation
Prime numbers in an equation
Source: Iberoamerican 2016 P1
September 28, 2016
number theory
prime numbers
Iberoamerican
Iberoamerican 2016
Problem Statement
Find all prime numbers
p
,
q
,
r
,
k
p,q,r,k
p
,
q
,
r
,
k
such that
p
q
+
q
r
+
r
p
=
12
k
+
1
pq+qr+rp = 12k+1
pq
+
q
r
+
r
p
=
12
k
+
1
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