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Here is one proof. I don't know if this can be attributed to Ramanujan.

    Let a, b be equal integers

    a = b
    a^2 = ab    // multiply by a
    a^2 + a^2 - 2ab = ab + a^2 - 2ab    // subtract a^2 - 2ab
    2(a^2 - ab) = a^2 - ab
    2 = 1
From p319, Fermat's Last Theorem by Simon Singh


I'm guessing this isn't the proof that jchonphoenix referenced, because it has a fairly obvious error and most mathematicians would see it quite quickly.


Just for those who don't see the error:

  2(a^2 - ab) = a^2 - ab
On this line, a^2 - ab is 0 (look at line 2). You wind up dividing both sides by 0, thus resulting in the false proof.


division by zero ?


A contradiction implies all falsehoods are true.




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