prathamik seudorfect sankhya

ganitat, aanee visheshtah sankhya siddhantat, jarr tee egyptian apurnank samikaranache samadhan karate tarr 'aine' hii prathamik seudorphecut sankhya aahe.
jethe berries keval "n" chya avibhajya vibhajkanvar asate.
malmatta.
samatulya, "aine" hii prathamik seudoperfect sankhya aahe, jarr tee samadhankarak asel tarr
prathamik seudoperect sankhya "n" = 2 vagalata, hii abhivyakti "n" sathee "n" chya bhinn vibhajakanchi berries mhanoon pratinidhitva dete. tyamule, pratyek prathamik seudopereft sankhya "aine" ("aine" = 2 vagalata) dekhil seudopereft aahe.
aath dnyat prathamik seudoperfect sankhya aahet
yapaiki pahilya chaar sankhya sylvesterchya kramatil sambandhit sankhyanpeksha eka qamee aahet, parantu nantar done anukram vegale hotat.
anant prathamik seudoperect sankhya aahet qee nahee kinwa kahee visham prathamik seudoperect sankhya aahet qee nahee heey adnyat aahe.
prathamik seudoperfect sankhyanche mukhya ghatak kadhikadhi zanamchya samasyevar upay deu shakatat, jyamadhye samadhan sanchatil serve ghatak avibhajya asatat. udaharanarth, prathamik seudoperfect kramank 47058 chey mukhya ghatak zanamchya samasyeche nirakaran sanch {2,3,11,23,31} tayar karatat. tathapi, lahan prathamik seudoperect sankhya 2,6,42 aanee 1806 asha prakare zanamchya samasyechya upayanshi sambandhit naheet, kaaran tyanchya mukhya ghatakanche sanch yaa aavashyakateche ullanghan karatat qee sanchatil konatihi sankhya eka adhik gunakar karoo shakat nahee. enne (1998) chey nirikshan aahe qee yaa prakarcha eka samadhan sanch aahe jyamadhye pratyek "keey" ≤8 sathee "keey" avibhajya aahet aanee assa andaj lavala jaato qee mothya "keey" sathee dekhil tech kharey aahe.
jarr prathamik seudopereft sankhya "aine" hii abhajya sankhyepeksha eka qamee asel, tarr "aine" × ("aine" + 1) hii dekhil prathamik seudopereft aahe. udaharanarth, 47058 heey prathamik seudoperect aahe aanee 47059 heey prime aahe, mhanoon 47058 × 47059 = 2214502422 heey dekhil prathamik seudoperect aahe.
itihas.
prathamik seudorfect sankhyanchi pratham chaukashi karnyat aalee aanee tyanna bootske, jeje aanee mayernick (2000) yanni naav dile. sanganakeey shodh tantracha vapar karoon, tyanni ullekhaneey parinam siddha keela qee 8 paryantchya pratyek sakaratmak purnank 'aar' sathee, tantotant 'aar' (vishisht) mukhya ghatkansah, mhanje 'aar' vya dnyat prathamik seudorphecut sankhyes, eka prathamik seudorphecut sankhya astitvat aahe. 2 ≤ "r" ≤ 8 asalele, jevha modulo 288 qamee kele jaate, tevha 6,42,78,114,150,186,222 ashee ankganitiy pragati tayar karatat, jase qee sondo aanee mcmillan (2017) yanni pahile hote.

