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The conjecture is not valid over the larger domain of Gaussian integers. After a prize of $50 was offered for a counterexample, Fred W. Helenius provided (-2 + i)3 + (-2 - i)3 = (1 + i)4. *

10 posted on 03/10/2009 5:50:23 PM PDT by SunkenCiv (https://secure.freerepublic.com/donate/____________________ Profile updated Monday, January 12, 2009)
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Ooops again.

http://en.wikipedia.org/wiki/Gaussian_integers


11 posted on 03/10/2009 5:50:48 PM PDT by SunkenCiv (https://secure.freerepublic.com/donate/____________________ Profile updated Monday, January 12, 2009)
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To: SunkenCiv
Only $50? What a math whore. :-)

Cheers!

18 posted on 03/10/2009 6:21:35 PM PDT by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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