
fermat-catalan ooha

sankhya siddhaantamlo, fermat-catalan ooha anedi fermat yokka chivari siddhaantam mariyu catalan yokka ooha yokka saadhaaraneekarana, anduke dheeniki eee paeru vachindi. eee sameekaranam anie ooha perkondi
a", "b", "c", "m", "n", "k") anevi bhinnamaina viluvala moodu padula ("a" "m", "b" "n", "c" k ") thoo parimitamaina aneka parishkaralanu kaligi untaayi, ikkada" "a", "" "b", "" c "" anevi saanukuula saha-samasankhya puurnaamkaalu mariyu "" m "," "n", "k" anevi santruptikaramaina saanukuula puurnaamkaalu ".
m", "n", mariyu "k" lapai asamaanata anedi oohalo avasaramaina bhaagam. asamaanata lekunda anantamaina aneka parishkaralu untaayi, udaaharanaku "k" = 1 (edainaa "a", "b", "m", mariyu "n" kuu mariyu "c" = "a" "m" + "" b "n" thoo) ledhaa "m", "n", mariyu "k" annee rendintiki samanamga untaayi (anantamaina aneka telisina pythagarian triples kosam).
telisina parishkaralu.
2015 natiki, sameekaranam (2) yokka pramaanaalaku anugunamgaa unde sameekaranam (1) kuu eee krindi padhi parishkaralu telisinavi 
veetilo modatidi (1 "m" + 23 = 32) anedi "a", "b" ledhaa "c" loe okati 1 ayina ekaika parishkaram, catalan ooha prakaram, 2002loe prida mihilesku niroopinchaaru. eee kesu (1) yokka anantamaina aneka parishkaaraalaku daariteestundi (endukante "m"> 6 kosam edainaa "m" nuu enchukovachhu), eee parishkaralu oke moodu viluvalanu matrame istayi ("a" "m", "b" "n", "c" "k").
pakshika phalitaalu.
m", "n" mariyu "k" santruptikaramaina (2) dhanaatmaka puurnaamkaala yokka edainaa sthira empikaku, parimitamgaa aneka saha-samatulya moodu ("a", "b", "c") parishkaralu (1) matrame unnayani, faultings siddhaantaanni upayoginche darman-granville siddhaantam dwara telustundi. ayithe, puurti fermat-catalan ooha balamgaa untundi, endukante idhi ghaataankaalu "m", "n" mariyu "k" maaradaaniki anumatistundi.
ebisi ooha fermat-catalan oohanu suuchistumdi.
ghaataankaala asaadhyamaina kalayikala phalitaala jabita kosam, beal conjecture#partial phalitaalanu chudandi. anni fermat-catalan draavanaalu "m" = 2 ", n" = 2, ledhaa "k" = 2 kaligi untene beal yokka ooha nijam.

