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        riddles >> easy >> Sum of two squares equals a cube
        
(Message started by: NickH on Feb 28th, 2004, 4:44pm)
Title: Sum of two squares equals a cube
Post by NickH on Feb 28th, 2004, 4:44pm
How many integer solutions are there to a2 + b2 = c3?
Title: Re: Sum of two squares equals a cube
Post by Eigenray on Feb 28th, 2004, 8:15pm
There are :: [hide]infinitely many[/hide] ::
Probably the easiest way to see this is to consider :: [hide]powers of 2[/hide] ::
But in general, :: [hide]c3 is the sum of two squares iff every prime q that divides c and is 3 mod 4 appears with even exponent in c[/hide] ::


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