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Author Topic: Perfect Squares Problem #2  (Read 3701 times)

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Offline Ender

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Perfect Squares Problem #2
« on: July 26, 2007, 01:51:11 am »
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.

« Last Edit: July 27, 2007, 12:31:39 am by Ender »
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Offline rabbit

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Re: Perfect Squares Problem #2
« Reply #1 on: July 26, 2007, 10:34:11 am »
-(5^4) or (-5)^4?
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Offline Ender

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Re: Perfect Squares Problem #2
« Reply #2 on: July 26, 2007, 11:03:31 am »
-(5^4)
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Offline rabbit

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Re: Perfect Squares Problem #2
« Reply #3 on: 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?
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Offline Ender

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Re: Perfect Squares Problem #2
« Reply #4 on: 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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