1. Untitled Document An attempted elementary proof. http://www.geocities.com/vala_var/

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2. Fermat's Last Theorem Fermat's Last Theorem http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. The Mathematics Of Fermat's Last Theorem Charles Daney's treatise on Fermat's last theorem. HTML, DVI and PS. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. The Mathematics Of Fermat's Last Theorem The Mathematics of Fermat's Last Theorem http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. NOVA Online The Proof Solving Fermat Andrew Wiles were embarking on a proof of Fermat's Last Theorem. Why was that? AW I realized that anything to do with Fermat's Last Theorem generates too http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. NOVA Online The Proof For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem the idea that a certain http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Fermat's Last Theorem Poetry Challenge Fermat's Last Theorem Poetry Challenge. While you're here, you can check out my home page, or visit the UIC math department. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Pierre De Fermat (1601 - 1665) Fermat's discovery of the general theorem was made later. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Fermat's Last Theorem From MathWorld Fermat's last theorem is a theorem first proposed by Fermat in the form of a note scribbled in the margin of his copy of the ancient Greek text http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Timeline Of Fermat's Last Theorem Timeline of Fermat's Last Theorem when who what http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Proof Of Fermat's Little Theorem On this page we give the proof of Fermat's Little Theorem (a variant of Lagrange's theorem). This is one of the many proof pages from the Prime http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. G.Imbalzano On II Fermat'theorem. 1988 II Fermat Theorem and GENERALIZATION for Imbalzano! ~~~ Use MS LineDrawFONT; II Fermat Theorem.. ASC~~~ http://www.geocities.com/CapeCanaveral/1924/mathema.htm

1988: II Fermat' Theorem and GENERALIZATION for Imbalzano! ~~~ [Use MS LineDraw FONT] II Fermat' Theorem.. [ASC]~~~ Fermat'88: The author .. 1988..II Theorem ' * * * * * * * * * * * ' Decade..1998 ' TRUE first PROOF and GENERALIZATION ' (C) Giovanni Imbalzano for Pierre de Fermat : * (C) FERMATgi.DOC (C) * (Cfr. ISSN: 1120-6527 La Fisica nella Scuola XXXI n°1 Suppl. A.I.F. 1998) Come back..?

13. PlanetMath: Euler-Fermat Theorem generalization of Eulerfermat theorem (Result) by kamala proof of Euler-Fermattheorem using Lagrange s theorem (Proof) by alozano http://planetmath.org/encyclopedia/EulerFermatTheorem.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About Euler-Fermat theorem (Theorem) Given when gcd , where is the Euler totient function "Euler-Fermat theorem" is owned by KimJ view preamble View style: HTML with images page images TeX source See Also: Fermat's little theorem Fermat's theorem proof Other names: Euler's theorem Keywords: number theory Attachments: proof of Euler-Fermat theorem (Proof) by KimJ generalization of Euler-Fermat theorem (Result) by kamala proof of Euler-Fermat theorem using Lagrange's theorem (Proof) by alozano Cross-references: Euler totient function There are 2 references to this object. This is version 4 of Euler-Fermat theorem , born on 2001-10-15, modified 2002-01-23. Object id is 198, canonical name is EulerFermatTheorem.

14. Jebara give a proof,but a problematic one, of Fermat s last theorem. No previousknowledge of fermat theorem is needed. That a solution of the the equation http://members.fortunecity.com/jebara/jebara/

document.isTrellix = 1; web hosting domain names photo sharing Philosophy and the axiom ... TEMOIN DE MON EPOQUE Jebara This is a breakthrough in set theory...if confirmed... Infinite products of integers and the axiom of choice A restricted axiom of choice Brief history of the negation of the axiom of choice The story begins with Cantor who was working on the functions theory and noticing there could not exist any bijection between N and R. A tremendous work made him able to give shape to the set theory, being encouraged by Dedekind and criticised by Kronecker . On about 1900, it happened to him to hit on two problems. The first is a paradox which make it impossible for the set of all sets to exist. The second , called continuum problem, is about the proof that there does not exist a cardinal number between that of N and of R. Indeed, Cantor was reasoning by taking for obvious what will later be called the Axiom of choice as he was taking for granted a total order relation between cardinal numbers. This last issue made him exhausted. Zermelo was trying to make the theory of Cantor formalized...

15. Little Fermat Theorem The Little fermat theorem states that if p is a prime then p divides apa, p notequal to a. After factoring a(a(p-1)-1) The converse of the theorem is http://home.earthlink.net/~usondermann/little.html

Little Fermat Theorem The Little Fermat Theorem states that if p is a prime then p divides a p -a, p not equal to a. After factoring : a(a (p-1) The converse of the theorem is not true, in fact there are composite numbers that divide a p -a. They are referred to as psuedoprimes The Fermat numbers denoted by: F n are always primes or psuedoprimes when a=2. n +1 is the suspected prime to be tested. Let a = 2 then: 2 n -2, or 2[2 n -1] is divisible by 2 n Let f = 2 n , This is a number that only has 2 as its factor. That leaves us with the expression 2 f -1 to factor. Using the fact that x -y factors to (x+y)(x-y) then 2 f -1 factors to (2 (f / 2) (f / 2) Factoring the -1 factor repeatedly until the exponent is 1 we get: f -1 factors to (2 (f / 2) (f / 4) (f / 8) (f / 16) n Example: +1 is F , or 2 +1 and 2 Substituting all values in the original expression we get 2(2 -1) is divisible by Factoring: 2 Fermat , the father of number theory, conjectured that all 2 n +1 were prime. the first four are but 2 +1 is composite. Euler proved that this number is divisible by 641. (more on all of this later) I have played with this expression trying to find a pattern to psuedoprimes . I have found that if a has the pattern of kp+1 or (kp+1) t then any number p divides the expression: a n -a.

16. Little Fermat Theorem (+1) =m, Subtract and Add a 1. (X(p1) -1) - (Y(p-1) -1) = m, Associate and factora (-1). p(t) - p(u) = m, Factor p via Little fermat theorem http://home.earthlink.net/~usondermann/little2.html

X (p-1) - Y (p-1) = mod(p) X (p-1) - Y (p-1) = m X and Y not equal to p, a prime X (p-1) (-1) - Y (p-1) (+1) =m Subtract and Add a 1 (X (p-1) -1) - (Y (p-1) -1) = m Associate and factor a (-1) p(t) - p(u) = m Factor p via Little Fermat Theorem p(t-u) = pk Substituting m=pk and Factoring p X (p-1) - Y (p-1) = mod(p) Substituting and applying mod

17. MAD Scientist: Fermat Theorem Fermat s Last Theorem did Fermat have proof or did he guess? Submitted 16February, 1998 by Jerry That Fermat just stated his theorem with on proof. http://spider.ipac.caltech.edu/staff/waw/mad/mad9.html

Fermat Theorem Question: Fermat's Last Theorem: did Fermat have proof or did he guess? Submitted 16 February, 1998 by Jerry Marcantel of Glenmora, LA USA. I am a amateur mathematician. On PBS I saw a show on the guy Andrew Wiles who proved Fermat's Last Theorem. Some of the mathematicians "hinted" that Fermat did not have any proof. That Fermat just stated his theorem with on proof. Is this a general consensus in the math community? Answer: 16 February 1998 This is definitely not my field of expertise, but I am pretty sure that it is the consensus of the experts that Fermat was probably mistaken. First, the problem has received an enormous amount of attention over the centuries from the very best mathematicians. The fact that none of them found a short proof (supposing Fermat's proof was not much longer than the margin would hold this is suggested by Fermat's description of it as "truly wonderful"), nor indeed any proof at all, makes one wonder. Second, it seems clear that if Fermat had a proof, it must have been quite different than the one we have today. For the prerequisites, the mathematical concepts used in the proof, on which Wiles was able to build, had not even been developed in Fermat's time. Third, there are some shorter partial proofs, and I think even some short, seductive, but mistaken ones, that have been discovered over the years, some by good mathematicians. Possibly Fermat's proof was one of these. Mathematicians do often guess, but of course a guess is never a proof! The inspired guess leads the way, motivates and guides the hard struggle to construct a rigorous proof, but no honest mathematician would ever knowingly say he had proved something that he had only guessed. But a strong hunch can lead you to believe a conjecture is true, and then it is not too uncommon to overlook subtle logical flaws in the proof constructed to establish the guess beyond all doubt. Wiles himself at first fell victim to such an error, which, fortunately, he was able to repair.

18. MathForge.netPower Tools For Online Mathematics It appears the search for a proof to Fermat s Last Theorem, a 350year-old problemthat has ReWiles fermat theorem disproved; 3 went uncarried http://mathforge.net/index.jsp?page=seeReplies&messageNum=1224

19. Iatco Sergiu. Simplification Of Prove Of Fermat Theorem First time I read about Fermat s last theorem when I was 15 years old. Finally in order to prove Fermat s theorem must be proved theorem 1 and equation http://lib.ru/TXT/fermat.txt

Fine HTML Printed version txt(Word,ÊÏÊ) Lib.ru html Iatco Sergiu. Simplification of prove of Fermat theorem R.Moldova District Rascani Village Recea itsergiu@yahoo.com Date: 4 May 1999 Dear Sir, I am an amateur mathematician. First time I read about Fermat's last theorem when I was 15 years old. Just like other people from the beginning I dreamt to prove one day it. Last year I found out that A.Wiles and R.Taylor proved it. I read this proof and I found it (just like other people) too complex. I analysed the Fermat's last theorem and I succeed to simplify it as follows: Let have Fermat's equation: a n +b n =c n , where n>2 (1) Because c=p1*...*pt, where pi - prime number, equation (1) becomes: a n +b n n *...*pt n (2) If exist such pi for which a1 n n = pi n (3) has solutions then these solutions are also solutions for (2) Let r= p1*...*pi-1*pi+1*...*pt Multiplying (3) with r n we have: (r*a1) n +(r*b1) n = pi n , let a=r*a1 b=r*b1 a n +b n n *...*pt

20. Physics fermat theorem solutions of X, Y and Z are inconsistent because nonwhole numbers I believe that fermat theorem was an attempt at an algebraic proof of http://physics.nad.ru/engboard/messages/656.html

Physics [ Archive message from "Physics Forum" ] Posted by tsutomu on October 29, 2002: Fermat Last Theorem Ben Ito I will prove that Fermat last theorem is an inconsistent and incomplete attempt at a proof of Pythagorean theorem. l. Introduction Fermat lived 350 years ago and wrote his theorem in the margin of the Greek book, "Arithmetica". Pythagorean, whom was Greek, discovered an equation that describes a right triangle. When n=2 is used in Fermat equation, Pythagorean equation is formed, X^2 + Y^2 = Z^2, where whole and non-whole numbers form the solutions of X, Y and Z. However, when n>2, the values of X, Y and Z are restricted to only whole numbers. Fermat theorem solutions of X, Y and Z are inconsistent because non-whole numbers are not included when n>2. Therefore, Fermat theorem is mathematically invalid. I believe that Fermat theorem was an attempt at an algebraic proof of Pythagorean theorem. I will rearrange Fermat equation an form an algebraic proof of Pythagorean equation. 2. Proof Fermat theorem states that when (n) is a integer greater than two, X^n + Y^n = Z^n, has no X, Y and Z positive whole number solutions. It is not possible to prove if n>2 forms solutions because n>2 can form an infinite number of equations using Fermat equation. However, there is a problem with Fermat theorem's

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