MathDB

5

Part of 2012 India PRMO

Problems(1)

2012 preRMO p5 , n^2 + 20n + 12 a perfect square

Source:

6/16/2019
Let Sn=n2+20n+12S_n = n^2 + 20n + 12, nn a positive integer. What is the sum of all possible values of nn for which SnS_n is a perfect square?
number theory