
prathamik

ganitamadhye, aanee visheshtah sankhya siddhantat, "#" neey darshavilele prathamik heey naisargik sankhyanpasun naisargik sankhyanparyantche factorial functionsasarkhech eka karya aahe, parantu sakaratmak purnankancha kramakramane gunakar karnyaivaji, karya keval avibhajya sankhyanna gunakar karate.
harvey dubnerne tayar kelele 'primorial' heey naav, 'factorial' heey naav jyaa prakare 'ghatakan' shhee sambandhit aahe tyach prakare 'prime' shhee sadrushya dakhavate.
abhajya sankhyanchi vyakhya.
pahilya abhajya kramankacha gunakar mhanoon, pahilya abhajya kramankachi, prathamik vyakhya kelee jaateh
tisari abhajya sankhya kuthe aahe? udaharanarth, pahilya 5 avibhajyanche gunakar darshavitoho
pahilya paach prathamik goshti pudhilpramane aaheth
yaa kramamadhye rikame utpadan mhanoon dekhil samavisht aahe. lakshanrahitpane, prathamik vaadh khalilpramane hoteh
jithe lahan oo notation aahe.
naisargik sankhyanchi vyakhya.
sarvasadharanpane, sakaratmak purnankansathi, tyache prathamik, heey, tyaa avibhajya moolankanche gunakar aahe jeey tyapeksha mothe naheet; mhanje,
prime-counting function kuthe aahe, jeey primechi sankhya ≤ dete. heey yasarkhe aaheh
udaharanarth, 12 #heey tyaa avibhajya ≤12 chey gunakar darshavateh
kaaran, yachee ganana asha prakare kelee jaau shakateh
khalilpaiki pahili 12 moolye vicharat ghyah
aapan pahato qee sanmishratesathi pratyek sandnya vyakhyet dilyapramane, fakt aadhichya sandnyechi nakkal karate. vareel udaharanamadhye 12 hii sammishra sankhya asalyane aahe.
prathamik goshti pahilya chebishev karyashi sambandhit aahet, jyaa tyanusar lihilya jaatatah
mothya mulyansathi lakshanrahitpane sampark sadhalyamule, prathamik mhanoon tyanusar vadhatatah
serve dnyat abhajyasankhyancha gunakar karanyachi kalpana abhajya sankhyanchya anantatechya kahee puravyanmadhye aadhalate, jithe tee dusya abhajya sankhyeche astitva prapt karnyasathi vaparali jaate.
vaishishtye.
nondih
anuprayog aanee gunadharm.
yogatmak ankganitiy pragatimadhye abhajya sankhyanchya shodhat prathamik bhoomika bajavtat. udaharanarth, 
 + 23 #haah gunankat parinam karato, joou 23 #punha punha jodoon aadhalanaya tera gunankanchya kramane suru hoto aanee samapti saha hoto. 23 #haah pandhra aanee sola avibhajyanchya ankganitiy pragatitil samanya farak dekhil aahe.
pratyek atyant sammishra sankhya hii prathamikanchi gunakar sankhya asate (udaa.jee. 360 =).
serve prathamik purnank heey varg-mukt purnank asatat aanee pratyekamadhye tyachyapeksha lahan asalelya konatyahi sankhyepeksha adhik vegale avibhajya ghatak asatat. pratyek prathamikasathi, apurnank konatyahi qamee purnankapeksha lahan asato, jethe euler totient function aahe.
konatehi purnapane gunakaratmak karya tyachya mulyandware prathmikankavaril mulyandware paribhashit kele jaate, kaaran teey tyachya mulyandware avibhajyankavaril mulyandware paribhashit kele jaate, jeey sanlagn mulyanchya vibhajanadvare punarprapt kele jaau shakate.
prathmikanshi sambandhit aadhar pranalinmadhye (jase qee aadhar 30, prathamik sankhya pranalishi gondhal houu naye) punaravrutti apurnankanche praman konatyahi lahan aadharapeksha qamee asate.
pratyek prathamik hii viralpane ekank sankhya asate.
sammishra sankhyecha-samakalan haah serve sammishra sankhyancha gunakar asato. - compositorial heey-factorial divided buy primorialchya barobariche aahe. sammishra aahet
dekhava.
ekapeksha mothya sakaratmak purnankanvaril reeman zeta karya heey prathamik karya aanee jordonche totient karya vaparoon vyakt kele jaau shakateh