Fermat's Last Theorem

Hauv kev tshaj tawm no, peb yuav xav txog ib qho ntawm cov theorems nrov tshaj plaws hauv kev ua lej - Fermat's Last Theorem, uas tau txais nws lub npe nyob rau hauv kev hwm ntawm Fabkis tus lej lej Pierre de Fermat, uas tau tsim nws hauv daim ntawv dav dav hauv xyoo 1637.

Cov ntsiab lus

Nqe lus ntawm lub theorem

Rau txhua tus naj npawb n> 2 qhov sib npaug:

an + bn =cn

tsis muaj cov kev daws teeb meem hauv cov zauv uas tsis yog xoom a, b и c.

Keeb kwm ntawm kev nrhiav pov thawj

Txawm hais tias qhov yooj yim tsim ntawm Fermat's Last Theorem nyob rau theem ntawm cov tsev kawm ntawv lej yooj yim, kev tshawb nrhiav nws cov pov thawj tau siv ntau tshaj 350 xyoo. Qhov no tau ua los ntawm ob qho tib si eminent mathematicians thiab amateurs, uas yog vim li cas nws thiaj li ntseeg tau hais tias lub theorem yog tus thawj coj ntawm cov ntaub ntawv pov thawj tsis raug. Yog li ntawd, tus lej Askiv thiab Asmeskas tus lej Andrew John Wiles tau dhau los ua tus tswj xyuas nws. Qhov no tau tshwm sim hauv 1994, thiab cov txiaj ntsig tau luam tawm xyoo 1995.

Rov qab rau xyoo pua XNUMX, sim nrhiav pov thawj rau n = 3 tau ua los ntawm Abu Mahmud Hamid ibn al-Khizr al-Khojandi, tus kws lej Tajik thiab astronomer. Txawm li cas los xij, nws tej hauj lwm tseem tsis tau muaj sia nyob mus txog hnub no.

Fermat nws tus kheej ua pov thawj lub theorem nkaus xwb n = 4, uas tsa qee cov lus nug txog seb nws puas muaj pov thawj dav dav.

Kuj pov thawj ntawm theorem rau ntau yam n qhia cov lej hauv qab no:

  • rau n = 3People: Leonhard Euler (Swiss, German and mathematician and mechanic) in 1770;
  • rau n = 5Cov neeg: Johann Peter Gustav Lejeune Dirichlet (German mathematician) thiab Adrien Marie Legendre (Fabkis lej) xyoo 1825;
  • rau n = 7: Gabriel Lame (Fabkis lej, kws kho tsheb, physicist thiab engineer);
  • rau txhua yam yooj yim n <100 (nrog rau qhov kev zam ntawm qhov tsis sib xws 37, 59, 67): Ernst Eduard Kummer (German mathematician).

Sau ntawv cia Ncua