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3
p(p+1)+q(q+1)=n(n+1)
p(p+1)+q(q+1)=n(n+1)
Source:
July 21, 2018
algebra
number theory
Problem Statement
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
)
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