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Old 2012-10-27, 19:31   #5
Batalov's Avatar
Mar 2008

217048 Posts

P.S. Correction re: 2*gcd(). Not always 2, of course. 2 will frequent, because there are very many prime xGF'(a,b,4) (=(a^4+b^4)/2) with odd a and odd b. Tons. When a+b is 2x, you can finish the counterexample by multiplying a and b by 2x-1 or similar. Ugh, I need some coffee.

Last fiddled with by Batalov on 2012-10-27 at 19:33
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