Ture tauwehe whakamutunga o Fermat me tona tūranga i roto i te whanaketanga o te pāngarau

tauwehe o Fermat whakamutunga, tona mea ngaro, me te rapu mutunga mō rongoā ki te tango i pāngarau i roto i ngā huarahi maha he tūranga ahurei. Ahakoa te meka i kitea he otinga ohie, me te huatau, me te reira i taua mahi tenei raruraru rite te hiringa mo te maha o ngā āhuatanga i roto i te mara o te huinga ariā , me tau pirimia. Te kimi i te whakahoki kua tahuri ki te tukanga whakaongaonga o whakataetae i waenganui i te ārahi kura pāngarau o te ao, a ka whakakitea ano he nui nui o te whaiaro whakaako-ki huarahi taketake ki te rerekē raruraru pāngarau.

Per Ferma ia ko he tauira e tiaho o noa te whaiaro-whakaako taua. mahue ia i muri i te maha o whakapae ngā me te taunakitanga, e kore anake i roto i te pāngarau, engari ano hoki, hei tauira, i roto i te te ahupūngao. Heoi, ka ia rongonui te nuinga e tika ana ki te lekooti iti i roto i nga mara o te "Arithmetic" Diophantus kaihōpara Kariki onamata ka rongonui. kī ana tēnei tāurunga e muri nui whakaaro i kitea e ia te ohie, me te "pono faahiahia" tohu o tona ture tauwehe. Tenei ture tauwehe, i ka mohiotia rite "tauwehe whakamutunga o Fermat", kī e kore e taea te whakatika te faaiteraa x ^ n + y ^ n = z ^ n, ki te he nui atu i rua i te uara o te n.

Ia Per Ferma, i te noa'tu o te whakamārama i mahue i runga i nga mara, i reira he kahore otinga whānui muri kihai i waiho, he tokomaha ano hoki te hunga i tangohia rite tohu o tenei ture tauwehe, whakamatauria kaha i roto i te mua o ia. E rave rahi i tamata ki te hanga i runga i te taunakitanga kitea e te pāmu o tenei postulate mo te take motuhake, ka n ko 4, engari tahuri te reira i roto i ki te kia kāore hoki ētahi atu kōwhiringa.

Leonhard Hēura ki kaha nui whakahaere ki te whakamatau ture tauwehe whakamutunga o Fermat mō n = 3, a ka i takoha ki te whakarere i te rapu, whakaaro mea teka ratou. Neke atu i te wa, ka rite ki ngā tikanga hou mō te faaotiraa o huinga mure ore i whakaurua i roto i te revolution pūtaiao, kua kitea tenei ture tauwehe tona taunakitanga ki te mara o tau i te 3 ki te 200, engari kihai i tonu i taea ki te whakaoti i te reira i roto i ngā whānui.

riro fakaivimālohi New Fermat i te tīmatanga o te rau tau rua tekau, ka kauwhautia te utu i roto i tohu ki te tangata e kitea e te otinga he rau mano. rongoā Rapu mō etahi wa, ka tahuri ki te whakataetae tūturu, e whai wāhi kore anake kaipūtaiao nui, engari ano ki tangata mau: tauwehe whakamutunga o Fermat, te fakalea o e kore e whai wāhi tetahi rangirua, kua āta riro kahore iti rongonui atu te ture tauwehe a Pythagoras, i nei, i te ara kotahi ka haere ia.

Ki te haerenga mai o tataitai, te tuatahi, a ka te rorohiko taea ki te kitea te tohu o tenei ture tauwehe mō ngā uara ore nui o n kaha hiko, Heoi, kitea taunakitanga tonu kihai i taea i roto i ngā whānui. Heoi, ka anei tenei ariā rite kahore tetahi taea. Neke atu i te wa, ka anga moni i roto i te imiraa i te whakahoki ki tenei puzzle ki te iti. He nui o tenei ko e tika ana ki te meka i taunakitanga anō i haere i runga i te taumata ariā taua, i tera taha o te mana o te tangata mau i roto i te huarahi.

Ahua o te mutunga o te attraction pūtaiao ngā i huaina "a Fermat whakamutunga ture tauwehe" rangahau maitai E. Haahaa, nei ki tenei ra i tangohia rite te tohu papû o tenei whakapae. Ki te mahue ki te feaa i te tika o te tohu, ka tauwehe pono ano whakaae katoa.

Ahakoa te meka e kore kua kore "huatau" tohu o te ture tauwehe whakamutunga o Fermat riro tana titauraa kua hanga takoha nui ki maha ngā wāhi o te pāngarau, nui whakawhänui i te Horizons mātauranga o te tangata.