 kindhi vachananni batti ,  pradhaana sankhyala pratyekata emti ?
 pradhaana sanka  ( ledha prime )  anede  1  kante ekuva sahaja sanka ,  idi remdu chinna sahaja sankhyala utpatthi kadhu .  pradhaanam kanni  1  kante ekuva sahaja sankhyanu misrama sanka antaruu .  udaharanaku , 5  pradhaanamainadi endhukante dhaanini utpattigaa vrayadaaniki Bara margalu , 1 × 5  ledha  5 × 1, 5 ni kaligi untai .  Hansi yemainappatiki , 4  anede ooka utpatthi  (2 × 2),  dheenilo remdu sankhyalu  4  kante chinnaviga untai .  ankaganitam yokka praadhimika siddhaantam kaaranamgaa prime ‌ lu sankhya siddhaantamloo pradhaanamienavi : 1  kante ekuva unna prathi sahaja sanka ooka pradhaanamainadi ledha vaati kramam varku pratyekamgaa umdae prime ‌ l utpattigaa karakam cheyavachu .

 pradhaanamainadigaa umdae lakshanhaanni praathamikata antaruu .  ichina sanka yokka praathamikatanu tanikhii cheyadanki sulabhamaina conei nemmadigaa umdae paddathi 
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n,  trail deveeson ani pilustharu ,  ledo pareekshistundi 
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n  anede  2  mariyu Madhya edaina puurnaamkam yokka gunakam 
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{\sqrt {n}}.  vaegavanthamaina algaritham ‌ lalo millar - abn primality test unnayi ,  idi vegavantamainadi conei lopam vachey avaksam thakkuvaga umtumdi mariyu  AKS  primality test ,  idi allappuduu bahupadi samayamlo saraina samaadhaanaanni utpatthi chesthundu conei aacharanaatmakamgaa chaaala nemmadigaa umtumdi .  mersen sankhyala vento pratyeka rupala sankhyala choose pratyekamgaa vaegavanthamaina padhathulu andubatulo unnayi .  dissember  2018  natiki telisina athipedda pradhaana sanka  24,862,048  dasaamsa ankelatho mersen prime .

300 BC loo euclid ‌ chee pradarsinchabadinatluga ,  anantamaina anek pradhaanaamsaalu unnayi .  telisina sadarana sutram edhee pradhaana sankhyalanu misrama sankhyala nundi vary cheyaladu .  Hansi yemainappatiki ,  peddha sankhyalalooni sahaja sankhyalalooni prime ‌ l pampineeni ganankaparamga namuunaagaa roopondinchavacchu .  aa disaloo modati phalitham pradhaana sanka siddhaantam ,  idi  19 va sathabdam chivarilo niruupinchabadindi ,  idi yadruchikamga empika cheyabadina peddha sanka yokka sambhaavyata dani ankela sankhyaku vilomaanupaatamlo umtumdi ,  antey dani logarithm ‌ ku vilomaanupaatamlo umtumdi .

 pradhaana sankhyalaku sambandhinchi anek chaarithraka prasnalu ippatikee parishkarinchabadaledu .  veetilo goald ‌ baach yokka oohalu unnayi , 2  kante ekuva unna prathi puurnaamkam remdu prime ‌ l mothama vyakteekarinchabadutunda mariyu twin prime conjecture ,  anantamaina anek jatala prime ‌ lu vaati Madhya ooka sari sankhyanu kaligi untai .  ituvante prasnalu sankhyala yokka vishlaeshanhaatmaka ledha beejaganita amsaalapai drhushti saarinchi ,  sankhya siddhaantam yokka vividha shakala abhivruddhiki dohadapaddayi .  prime ‌ lu inparmeeshan technologylo piblic - kee cryptography vento anek roteen ‌ lalo upayoginchabadataayi ,  idi peddha sankhyalanu vaati pradhaana kaarakaalloki karakam cheyadamlo ibbandipai aadhaarapadi umtumdi .  viyukta beejaganitamlo ,  pradhaana sankhyala vento saadhaaraneekarinchina vidhamgaa pravartinche vastuvulu pradhaana ansaalu mariyu pradhaana aadharshaalanu kaligi untai .
 ooka pradhaana sanka anede daanikade mariyu okadaanito Bara bhaginchabade dani kante goppa sahaja sanka .  udaa  5  anede ooka pradhaana sanka ,  endhukante idi  5  mariyu  1  dwara Bara bhaaginchabadutundi ,  conei  4  anede  4, 2  mariyu  1  dwara bhaaginchadaginadi kadhu .