
paripuurna motta sankhya

sankhya siddhaantamlo, paripuurna tuttient sankhya anedi daani punaraavruta tuttients mottaaniki samaanamaina puurnaamkam. antey, oka sankhya "n" kuu tuttient functionnu vartimpajesi, phalita tuttient kuu mallee vartimpajeyandi, mariyu modalainavi, sankhya 1 cherukune varaku, mariyu phalita sankhyala kramaanni kalipi; mottam "n" kii samanamga unte, appudu "n" anedi khachitamaina tuttient sankhya. 
udaaharanalu.
udaaharanaku, 9 kante takkuva aaru dhanaatmaka puurnaamkaalu unnaayi mariyu daaniki saapekshamgaa pradhaanamainavi, kabatti 9 yokka totient 6; 6 kante takkuva mariyu daaniki saapekshamgaa pradhaanamaina rendu sankhyalu unnaayi, kabatti 6 yokka totient 2; mariyu 2 kante takkuva mariyu daaniki saapekshamgaa pradhaanamaina oka sankhya undhi, kabatti 2 yokka totient 1; mariyu, kabatti 9 anedi khachitamaina totient sankhya.
modati konni khachitamaina tuttient sankhyalu
sanketam.
chihnalalo, okaru vraastaaru
punaraavruta totient function kosam. appudu "c" anedi aaa vidhamgaa unna puurnaamkam ayithe
oka "n" anedi khachitamaina tuttient sankhya ayithe
moodu yokka gunakaalu mariyu saktulu.
aneka paripuurna tuttient luu 3 yokka gunakaalu anie gamaninchavacchu; vaastavaaniki, 4375 anedi 3 thoo bhaginchaleni atichinna paripuurna tuttient sankhya. 3 yokka anni saktulu khachitamaina tuttient sankhyalu, eee vaastavaanni upayoginchi prerana dwara chudavachu
venkataraman (1975) paripuurna tuttient sankhyala yokka maroka kutumbaanni kanugonnaduh prime ayithe, 3 "p" anedi paripuurna tuttient sankhya. eee vidhamgaa khachitamaina tuttient sankhyalaku daariteese "k" viluvalu
saadhaaranamgaa "p" anedi 3 kante pedda pradhana sankhya ayithe, mariyu 3 "p" anedi khachitamaina tuttient sankhya ayithe, appudu "p" shna 1 (mode 4) (mohan mariyu suuryanaaraayana 1982). eee roopamloni anni "p" khachitamaina tuttient sankhyalaku daariteeyavu; udaaharanaku, 51 anedi khachitamaina tuttient sankhya kaadu. ineancy mariyu itarulu. (2003) 9 "p" anedi khachitamaina tuttient sankhya ayithe, "p" anedi vaari kaagitamlo jabita cheyabadina moodu nirdishta roopaalalo okadaaniki prime anie choopinchindi. p" anedi prime mariyu "k"> 3 ayina 3 "k" p "roopamlo edainaa khachitamaina tuttient sankhyalu unnaya anedi teliyadu.
suuchanalu.