?????????? ??????? ???????

???????????? *?????????????* ?????? 1670 ??? ????????? ?????????? ??????? ??????? ????????( *Observatio Domini Petri de Fermat* ).

??? ???????????? , $a n + b n = c n$ ( $n$ > 2) ???? ?????????? ?????? ???????????? ????? ??????????? $a$ , $b$ , $c$ ??????? ???????? ?????? ?????????? ??????? ??????? ( Fermat's Last Theorem ) ?????? ??????????. $n = 1$ , $n = 2$ ????????? ???????????????? ??????? ????????? ????? ?????? ??????????????? ?????????? ???????????. ^[1] ???? ????????????? ?????????? ????? ???????? ( Fermat's conjecture ) ?????? ?????????? ?????????????????????.

1637 ??? ????? ????????????? ???? ?????? ????????????? ?????????? ?????????? ?????? ?? ?????????? ???????????????????????. ??????? ??????? ???????? ??????????? ????? ??? ???????????? ???????? ???? ???????? ???????? ???????? ??????? ????? ????????????????????. ?? ????????????????? 358 ?????????? ????????????????? ?????????? 1994 ??? ????? ??????? ???????? ???????????? ?????? ???????? ???????????? 1995 ??? ??????? ???????????????. ???? ??????????? ??????? ?????????? ??????? ???? ???????????? ”??????? ??????? ??????” ?? ??????? ??? ?????????? ?????????????????. ^[2]

?????????? [ ???? ]

???????????? ???????? , x ² + y ² = z ², ???? ?????????????? ????? ???? ???????? ??????? ????????? ?????. ???????????? ?????????? ?????????? ?????????????????. 1637 ??? ??????? a ⁿ + b ⁿ = c ⁿ ???? ?????????????? n > 2 ????????? ????????? ???????? ?? 1637 ??? ????? ??? ???????????? ?????? ????????????????????. ????????? ?????? ???????? ??????? ???? ??????????? ???? ???? ???????? ??????? ??????????????, ????? ??????? ???? ??????????? ???????????? ??????????? ?????. ???? ?????? 30 ?????????????? ??????? ????? ???? ???????? ???????????????. ???????? ?????????????? ??????? ?????????????? ????????? ??????? ?????????? ????????. ???? ?????????? ????? ??????? ??? ?????????? ????????? ??????????. ???? ????? ??????????????? ???????????? ??? ?????????? ???? ??????????? ????????.

????? ???????????? ???????? [ ???? ]

$n = 4$ ????????? ?????????? ???????????? ????????? n ??? ??? ??? ?????????????? ??????? ???????????????? ?????? ???? ???? ???????? ^{[note 1]}. ??? ?????????????? (1637?1839) ????????? 3, 5, 7 ???? ?????? ????????????? ??????? ?????????????. ?? ????????????????? ???????????? ????????? ???????? ???????? ???????????? ??????? ?????? ?????????????? ????????? ???????????????. 1995 ??? ????? ??? ??????? ???????????????. ^[3]^[4]^[5]

??????????? [ ???? ]

↑ Singh, pp. 18?20.
↑ "Science and Technology". The Guinness Book of World Records . Guinness Publishing Ltd. 1995.
↑ "Fermat's last theorem earns Andrew Wiles the Abel Prize" . Nature . 15 March 2016 . ????????????? ???? 15 March 2016 .
↑ "British mathematician Sir Andrew Wiles gets Abel math prize - The Washington Post" . Archived from the original on 2016-03-15 . ????????????? ???? 2017-07-02 .
↑ 300-year-old math question solved, professor wins $700k - CNN.com

???????????????? [ ???? ]

↑ If the exponent "n" were not prime or 4, then it would be possible to write n either as a product of two smaller integers (n = P*Q) in which P is a prime number greater than 2, and then a ⁿ = a ^P*Q = (a ^Q) ^P for each of a, b, and c?i.e., an equivalent solution would also have to exist for the prime power P that is smaller than n, as well; or else as n would be a power of 2 greater than four and writing n=4*Q, the same argument would hold.

???? ?????????? [ ???? ]

Daney, Charles (2003). "The Mathematics of Fermat's Last Theorem" . Archived from the original on 3 August 2004 . ????????????? ???? 5 August 2004 .
The bluffer's guide to Fermat's Last Theorem ????????????? 2009-11-21 at the ??????? ?????????
Elkies, Noam D. "Tables of Fermat "near-misses" ? approximate solutions of x ⁿ + y ⁿ = z ⁿ" .
Freeman, Larry (2005). "Fermat's Last Theorem Blog" . Blog that covers the history of Fermat's Last Theorem from Fermat to Wiles.
Hazewinkel, Michiel, ed. (2001), "Fermat's last theorem" , Encyclopedia of Mathematics , Springer, ??????????? ?????????? ??? 978-1556080104
Ribet, Ken (1995). "Galois representations and modular forms" (PDF) . Archived from the original (PDF) on 2009-09-16 . ????????????? ???? 2016-03-17 . Discusses various material that is related to the proof of Fermat's Last Theorem: elliptic curves, modular forms, Galois representations and their deformations, Frey's construction, and the conjectures of Serre and of Taniyama?Shimura.
Shay, David (2003). "Fermat's Last Theorem" . ????????????? ???? 14 January 2017 . The story, the history and the mystery.
Weisstein, Eric W., "Fermat's Last Theorem" , MathWorld .
O'Connor JJ, Robertson EF (1996). "Fermat's last theorem" . ????????????? ???? 5 August 2004 .
"The Proof" . The title of one edition of the PBS television series NOVA, discusses Andrew Wiles's effort to prove Fermat's Last Theorem.
"Documentary Movie on Fermat's Last Theorem (1996)" . Simon Singh and John Lynch's film tells the story of Andrew Wiles.
Beal Fermat and Pythagora's Triplets (sic)

[auto-1] Singh, pp. 18?20.

[2] "Science and Technology". The Guinness Book of World Records . Guinness Publishing Ltd. 1995.

[natureAbel-4] "Fermat's last theorem earns Andrew Wiles the Abel Prize" . Nature . 15 March 2016 . ????????????? ???? 15 March 2016 .

[5] "British mathematician Sir Andrew Wiles gets Abel math prize - The Washington Post" . Archived from the original on 2016-03-15 . ????????????? ???? 2017-07-02 .

[6] 300-year-old math question solved, professor wins $700k - CNN.com

[3] If the exponent "n" were not prime or 4, then it would be possible to write n either as a product of two smaller integers (n = P*Q) in which P is a prime number greater than 2, and then a ⁿ = a ^P*Q = (a ^Q) ^P for each of a, b, and c?i.e., an equivalent solution would also have to exist for the prime power P that is smaller than n, as well; or else as n would be a power of 2 greater than four and writing n=4*Q, the same argument would hold.

[1]

[2]

[note 1]

[3]

[4]

[5]