Re: fermat
From: Scott Roper (digitalfenceIGNORETHIS_at_hotmail.com)
Date: 10/13/04
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Date: Wed, 13 Oct 2004 10:30:40 -0400
"ben ito" <benito20044@yahoo-dot-com.no-spam.invalid> wrote in message
news:416c21d0$1_2@127.0.0.1...
> Adding two number in the sequence of equation 3, the result, is always
> less than the next higher number, example, 8 + 125 < 216 and 64 +
> 125 < 216; therefore, n=3 can never form integer value of Z using
> the values of equation 3 in equation 1 this can also be applied to
> n>3. Consequently, n>2 can never form integer solutions of X, Y
> and Z.
Others have supplied a counter-example. Your mistake in reasoning is that
you assert "Adding two number in the sequence of equation 3, the result, is
always less than the next higher number ..." without supplying a proof. It
is not enough to simply give a few examples unless you can turn it into a
proof by induction. Similarly, you also assert the case of n>3 without
proof.
-Scott Roper
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