MathDB
Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland - Final Round
2016 Switzerland - Final Round
3
3
Part of
2016 Switzerland - Final Round
Problems
(1)
p(p+1)+q(q+1)=n(n+1)
Source:
7/21/2018
Find all primes
p
,
q
p, q
p
,
q
and natural numbers
n
n
n
such that:
p
(
p
+
1
)
+
q
(
q
+
1
)
=
n
(
n
+
1
)
p(p+1)+q(q+1)=n(n+1)
p
(
p
+
1
)
+
q
(
q
+
1
)
=
n
(
n
+
1
)
algebra
number theory