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Dec 18, 2011 at 1:36 comment added Zack Wolske Harold Edwards, in "Fermat's Last Theorem" (Spring-Verlag, 1977) also notes that Euler's original proof via descent fails for the above reasons, and gives a proof that cubes must factor into cubes by using methods known to Euler (arguments Euler used to show that primes congruent to 1 mod 3 can be written as $a^2 + 3b^2$), but also explicitly states that though Euler could have made this argument, he did not.
May 2, 2011 at 13:26 history answered Alain Valette CC BY-SA 3.0