Ma kēia hoʻolaha, e noʻonoʻo mākou i kekahi o nā theorems kaulana loa i ka makemakika - Ka Manao hope o Fermat, ka mea i loaʻa kona inoa no ka hanohano o ka mea makemakika Farani ʻo Pierre de Fermat, nāna i hoʻokumu iā ia ma ke ʻano maʻamau i ka makahiki 1637.
ʻO ka ʻōlelo o ka theorem
No kekahi helu maoli n> 2 ka hoohalike:
an + bn =cn
ʻaʻohe hāʻina ma nā helu helu ʻole a, b и c.
Moolelo o ka loaa ana o na hoike
ʻOiai ka maʻalahi o ka Fermat's Last Theorem ma ke kiʻekiʻe o ka helu kula maʻalahi, ʻoi aku ka ʻimi ʻana i kāna hōʻoia ma mua o 350 mau makahiki. Ua hana ʻia kēia e nā mea makemakika koʻikoʻi a me nā amateurs, ʻo ia ke kumu i manaʻoʻiʻo ai ʻo ka theorem ke alakaʻi i ka helu o nā hōʻike hewa. ʻO ka hopena, ua lilo ka mea makemakika Pelekane a me ʻAmelika ʻo Andrew John Wiles i mea nāna e hōʻoia. Ua hana ʻia kēia i ka makahiki 1994, a ua paʻi ʻia nā hopena i ka makahiki 1995.
Ma hope o ke kenekulia XNUMX, ho'āʻo e ʻimi i nā hōʻike no n = 3 ua hana ʻia e Abu Mahmud Hamid ibn al-Khizr al-Khojandi, he kanaka makemakika Tajik a he kilo hōkū. ʻAʻole naʻe i ola kāna mau hana a hiki i kēia lā.
Ua hōʻoia ʻo Fermat iā ia iho i ka theorem wale nō n = 4, e hāpai ana i kekahi mau nīnau e pili ana inā he hōʻoia maʻamau kāna.
He hōʻoia nō hoʻi o ka theorem no nā ʻano like ʻole n manaʻo ʻia nā mea makemakika penei:
- no ka mea, n = 3Kanaka: Leonhard Euler (Swiss, German and mathematician and mechanic) i ka makahiki 1770;
- no ka mea, n = 5Kanaka: ʻO Johann Peter Gustav Lejeune Dirichlet (ka mea makemakika Kelemānia) a me Adrien Marie Legendre (ka mea makemakika Palani) i ka makahiki 1825;
- no ka mea, n = 7: Gabriel Lame (ka mea makemakika Farani, mechanic, physicist and engineer);
- no nā mea maʻalahi a pau n <100 (me ka ʻokoʻa paha o nā primes like ʻole 37, 59, 67): Ernst Eduard Kummer (ka mea makemakika Kelemania).