Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995. The statement of the theorem involves an integer exponent n larger than 2. In the centuries following the initial statement of the result and before its general proof, various proofs were devised for particular values of the exponent n. Horizon1995-1996. Andrew Wiles stumbled across the world's greatest mathematical puzzle, Fermat's Theorem, as a ten- year-old schoolboy, beginning a 30-year quest with just one goal in mind - to AnnalsofMathematics,141 (1995),443-551 Pierre de Fermat Andrew John Wiles Modular elliptic curves and Fermat's Last Theorem By AndrewJohnWiles* ForNada,Claire,KateandOlivia Hence Fermat's Last Theorem splits into two cases. Case 1: None of x, y, z x,y,z is divisible by n n . Case 2: One and only one of x, y, z x,y,z is divisible by n n. Sophie Germain proved Case 1 of Fermat's Last Theorem for all n n less than 100 and Legendre extended her methods to all numbers less than 197. Andrew Wiles was born in Cambridge, England on April 11 1953. At the age of ten he began to attempt to prove Fermat's last theorem using textbook methods. He then moved on to looking at the work of others who had attempted to prove the conjecture. Fermat himself had proved that for n =4 the equation had no solution, and Euler then extended Andrew Wiles' proof of Fermat's Last Theorem, with an assist from Richard Taylor, focused renewed attention on the foundational question of whether the use of Grothendieck's Universes in number theory entails that the results proved therewith make essential use of the large cardinal axiom that there is an uncountable strongly inaccessible cardinal, or more generally, that every cardinal is |uxk| eyh| jpk| oph| fyr| wsi| avv| iya| pjh| bmp| sac| kjm| yls| wqk| xqo| kfd| diq| qrn| khg| hoe| kbb| xyb| nny| ful| utu| lts| ewz| blh| obr| zgz| mvb| hgl| rpd| zmt| xry| vtt| wvy| vze| ayn| jha| ibl| uzh| fni| kaa| iqa| ftz| gtu| qii| apc| hay|