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n^2 + 2014 is a perfect square (HOMC 2013 J Q2)

Source:

July 25, 2019
number theoryPerfect Square

Problem Statement

How many natural numbers nn are there so that n2+2014n^2 + 2014 is a perfect square?
(A): 11, (B): 22, (C): 33, (D): 44, (E) None of the above.
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