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Purple Comet Problems
2017 Purple Comet Problems
19
Purple Comet 2017 MS Problem 19
Purple Comet 2017 MS Problem 19
Source:
April 14, 2018
Purple Comet
Problem Statement
Find the sum of all values of
a
+
b
a + b
a
+
b
, where
(
a
,
b
)
(a, b)
(
a
,
b
)
is an ordered pair of positive integers and
a
2
+
2017
−
b
2
a^2+\sqrt{2017-b^2}
a
2
+
2017
−
b
2
is a perfect square.
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