
Unfortunately, as legend has it, Fermat never actually put the proof
on paper, and it was lost forever. Every great mathematical mind since has
attempted to prove the theorem, and some even claimed success. But Mr. Savant
thinks that Fermat knew it would never be proven. Says Mr. Savant:
I think Fermat succumbed to pressure when he claimed that he had found a proof, and I don't blame him. I mean, there's this theorem named after you, and they even tell you that it's the last one you're getting. Hell yeah, you're going to tell them you proved it. For years people have tried to show that Fermat's Last Theorem is true. Some have tried to show it was not untrue, and others have tried to show that it was not-not-not unfalse. It dawned upon me that no one had really tried to show that it was un-not not-not-anti-not untrue. When I looked at it this way, I immediately found that it was what I just said it was, and at that point I knew I had stumbled upon a great discovery.
Yes, I saw that proof, and it was a valiant attempt at a futile endeavor. The gentleman that published it obviously is pretty good, but I didn't like the way he kept prefacing every paragraph with 'This isn't going to make much sense, but trust me on it.' And I really thought that the pathetic plea for money to investigate Fermat's Second to Last Theorem was very unprofessional. But I did like the way he presented most of it in stick-figure cartoon form. That was neat.
Obviously, the probability that, say, the number 10 is equal to 11 is very very small, although it is thought to have happened in June of 1952. But remember, quantum mechanics is screwy, and the obvious is sometimes unapparent. The probability that the number 10 is actually 10.5 is alot higher than the probability that it is 11, and as we approach 10 itself, the probability gets higher and higher. The idio becomes significant.
I knew as soon as I had stumbled onto distinct probabilities that we were talking real possibilities. That means that for a given bunch of idios, there is a corresponding range of values that the number itself falls into. Savant continues: I saw that this discovery could lead to a powerful new algorithm: pick a number, any number, and determine what it might be equal to.
I knew that a monochrome monitor would be essential. The slightest hint of color might throw the calculations way off. And I knew that I couldn't use anything built after 1991, the last recorded palindromic year, which is evenly divisible only by 11 and 181, both palindromes themselves. A 286 wouldn't be broken in enough, so I chose a 285.
It took a whole day to set up the program. A mysterious bug kept making it lapse into a primitive form of WordPerfect. I was tempted to halt the entire project, because I really liked the simple, intuitive text editing features, but I pressed on anyway. I first picked my group of idios to be a band of +/- 1% variance. I was amazed to find that there were hundreds of solutions filling the screen, for any power you could possibly think of. But that was too easy; it was just a warmup. I narrowed the idios to +/- 0.01%, and I still got dozens of solutions. I knew that my next step would finally put the Fermat matter to rest for all of eternity. Nothing would have been proved if I didn't get the idios down to actual quantum levels. I set the value to 0.0001%. This is similar to saying that the number 1 will fall into a range of values that differ from 1 by less than 1 millionth. That's a no brainer. I knew that any solution that met this criteria would surely be as completely true as the very Idiotheorem that I based it on.
And a few more that followed:
54 cubed + 161 cubed = 163 cubed
71 cubed + 138 cubed = 144 cubed
73 cubed + 144 cubed = 150 cubed
128 cubed + 188 cubed = 206 cubed
135 cubed + 138 cubed = 172 cubed
Solutions were also found for the 4th, 5th, 6th, and 7th powers. These solutions
are all accurate to within 1 millionth, well within the range of probabilities
defined by the Idiotheorem.
More information is available from Mr. Savant's publicist, at jbshand@mindspring.com
Copyright 1995, Twisted Ruler Productions.