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2012 India PRMO
5
2012 preRMO p5 , n^2 + 20n + 12 a perfect square
2012 preRMO p5 , n^2 + 20n + 12 a perfect square
Source:
June 16, 2019
number theory
Problem Statement
Let
S
n
=
n
2
+
20
n
+
12
S_n = n^2 + 20n + 12
S
n
ā
=
n
2
+
20
n
+
12
,
n
n
n
a positive integer. What is the sum of all possible values of
n
n
n
for which
S
n
S_n
S
n
ā
is a perfect square?
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