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Junior Balkan MO
2000 Junior Balkan MO
2
2
Part of
2000 Junior Balkan MO
Problems
(1)
n^2+3^n is a perfect square
Source: JBMO 2000, Problem 2
10/30/2005
Find all positive integers
n
≥
1
n\geq 1
n
≥
1
such that
n
2
+
3
n
n^2+3^n
n
2
+
3
n
is the square of an integer. Bulgaria
induction
inequalities
algebra
difference of squares
special factorizations
number theory proposed
number theory