Re: FLTMA: Verification of "large zero"

From: Nathan (ntspam2_at_netscape.net)
Date: 03/18/05 

Date: 18 Mar 2005 07:52:08 -0800

DGoncz@aol.com wrote:
> Can anyone here verify as expected that
>
> 49^546 + 51^546 - 53^546? != 0?

This isn't just "expected"; it's proved. 546 is divisible by 3.
Do you know Euler's proof of FLT for n=3?
But never mind that for a moment. There are simpler ways to
resolve this.

1. Since you're posting to Usenet, you have access to a
computer. Why not check the arithmetic yourself?

2. Check it using a handheld calculator. Let x=51, n=546.
Then since (x+2)^n - x^n > 2nx^(n-1), if you can show that
1092 * 51^545 > 49^546 then you're done. So just use logs.

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