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Perfect Squares Problem #2

Started by Ender, July 26, 2007, 01:51:11 AM

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Ender

July 26, 2007, 01:51:11 AM Last Edit: July 27, 2007, 12:31:39 AM by Ender
Find, with proof, all positive integer values n such that is a perfect square.

EDIT: Added in the "with proof" clause because that's really in the spirit of the question.

rabbit

#1
July 26, 2007, 10:34:11 AM
-(5^4) or (-5)^4?

Ender

#2
July 26, 2007, 11:03:31 AM
-(5^4)

rabbit

#3
July 26, 2007, 02:24:04 PM
n = 5 yielding 2500+5^n = 5625, which is 75^2.  There are others, I'm sure, but eh?

Ender

#4
July 27, 2007, 12:32:14 AM
Yep, n = 5 is one of the solutions. What are the others? Are there any others? And prove it :P
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