aar. ess. aii. factoring aavhan

aar. ess. aii. factoring aavhan heey aar. ess. aii. prayogshalanni 18 march 1991 roji ganan sankhya siddhant aanee cryptographymadhye vaparlya jaanarya mothya purnankanche factor aanee aar. ess. aii. keenna crack karnyachya vyavharik adchanibaddalachya sanshodhanala protsahan denyasathi pudhe aanalele eka aavhan hote. tyanni aar. ess. aii. sankhya mhanoon olakhalya olakhalya ardhprathamikanchi (achook done mukhya ghatak asalelya sankhya) yadee prakashit kelee, jyat tyanchyapaiki kahinchya yashasvi gunankanasathi rokh bakshis hote. tyapaiki sarvat lahan, aar. ess. aii.-100 navachya 100-dashansh ankee sankhyela 1 april 1991 paryant ghatak mhanoon samavisht kele gele. anek mothya sankhya ajunahi ghatak mhanoon samavisht kelya gelelya naheet aanee aanee kalapasoon ghatak nasalelya rahanyachi apeksha aahe, tathapi quantum sangankanmadhil pragatimule haah andaj shorchya algoridammule anishchit hoto.
2001 madhye, aar. ess. aii. prayogshalanni factoring aavhan vadhavale aanee 576 bits teey 2048 bitsparyantchya factoring sankhyansathi $10,000 teey $200,000 paryantchi bakshise dilee.
aar. ess. aii. ghatak aavhane 2007 madhye sampali. aar. ess. aii. prayogshalanni mhatleh "aata udyogala samanya samamiteey-qee aanee sarvajanik-qee algoridamchya gupt-vishleshanatmak samarthyachi lakshaniy adhik pragat samaj asalyane, hii aavhane aata sakriy naheet."2007 madhye jevha aavhan sampale, tevha 2001 chya aavhan sankhyanmadhun keval aar. ess. aii.-576 aanee aar. ess. aii.-640 ghatak mhanoon ghetale gele hote.
factoring challenge uddesh purnank factorizationmadhil atyadhunikatecha magova ghene haah hota. aar. ess. aii. sarvajanik-qee kootlekhan yojanechi mukhya lambi nivadanyasathi prathamik anuprayog aahe. yaa aavhanatil pragatimule konate mukhya aakar ajunahi surakshit aahet aanee kitee kalasathi aahet yachee antardrushti midali pahije. aar. ess. aii. prayogshala hii aar. ess. aii.-aadharit utpadananchi puravathadar asalyane, tyanchya takadiche siddha karnyasathi-tyanchya upayanchya upayanchya hallah karnyasathi shaikshanik samudayala protsahan mhanoon tyanni yaa aavhanacha vapar keela.
aar. ess. aii. sankhya konatyahi prakarche jaale jodani nasalelya sangankavar tayar kelya gelya hotya. tyanantar sanganakachi haard drive nasht karnyat aalee jenekarun factoring aavhanavaril samadhanachi konatihi nond kuthehi astitvat nasel.
aar. ess. aii.-100 teey aar. ess. aii.-500 aanee aar. ess. aii.-617 yaa pahilya aar. ess. aii. sankhya tyanchya dashansh ankanchya sankhyenusar label kelya gelya; itar aar. ess. aii. sankhya (aar. ess. aii.-576 pasoon suru hotat) nantar tayar kelya gelya aanee tyanchya dwaiti ankanchya sankhyenusar label kelya gelya. dashanshatun dwaitikade heey badal hounahi khaleel taktyatil sankhya vadhatya kramane soochibaddha kelya aahet.
ganeet.
aar. ess. aii. prayogshalanmadhye asey mhatale aahe keeh pratyek aar. ess. aii. sankhya "aine" sathee, "pii" aanee "kyu" yaa asha abhajya sankhya astitvat aahet qee
samasya hii aahe qee keval "aine" dilelya yaa done avibhajya goshti shodhane.
bakshise aanee nondi.
khaleel taktyat serve aar. ess. aii. sankhyanche vihangavalokan dile aahe. aar. ess. aii. factoring aavhan 2007 madhye sampale aanee jaast sankhyanche factoring kelyabaddal pudhe konatihi bakshise dilee jaanar naheet heey lakshat ghya.

