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Puzzles: Crazy curves

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The remarkable property of (x,y) is that it is not possible for both x and y to be rational numbers. If this were so then x=a/b and y=c/d implies (ad)n + (cb)n = (bd)n where n>=3 and ad, cb and bd are all integer - which is impossible by Fermat's Last Theorem.

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Content Type: Message
Created at 29/01/2014 10:46 AM  by John Rowland 
Last modified at 13/01/2015 04:10 PM  by John Rowland