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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004848503074 2,944 digits created 2023-10-24

Value

3105826889217605226793639391045523966640311124596820790979720233282692457951537434419338446754156801452638850178948613560264934397085756774954301670871700271806193452537013995386333549799503985043143448405008821189461585920206649110408649295122678644817338276074725957808751705098438332459584501719485955919433137632744523608526733979714564051861651593708164338491710438857315195024838691038536257127186822982883036946632281142229301147627654438141479014237808239723632498788120286536974734551143929501895343494216378444703333133530335075537654462215756165190558868298243639624537087652852446810160190029365358148036138923695498470586430399666058316904510716350810848007400810015104979773172210462060991043504922544047330312651387539815910176802579485507888011964501227286034754853636125806439959203493150241085460909015771677401313950947862541444935716702397947436317577929390971707814701738894487177464441999621986463474565566700327666278325840606802353390866264665739077109120717489107876783933668621748571828754770856421771075939081741476869889372785596884185252805080066790908311707981791048043093610464255655043541916059995259071372994150566604243846696154549681588710803748187488154763582842199490588354165941330234025239764966876298637805575055907311518379178029301525543169265206908926013346256174218838190158474307599061797210571837391582013784210784432386013155776395675694771796575231342053498694428698765772824816336112465596806712483486169874352002999984195024761247592309773347678302169889047526539040377473340518640637603938622395970218290752270510966612444301231637074129463088369007688327648787577145965644686429092397474645967134481169615916108156092458271267317331501589045002925602298561900919338088477464521416674772163118197243472000284808749741453813495785954037083811607868082165913518656032583988931376028386295314442731802020833572124937394005003121727796750444708753305312067790976429822733320699628660671177563214822411585423453384666944182098009083225390401172279481649473034631040389810407308918634440965535185879708613730158074019218510014087108061326491867936402790623656902202110883916335509994957660100725332121708287250746346216051127140542903211207397771124036900209105452606029985791515394876838839203717401599670046984005974795572970766540871202962714909724550407263306651963603936520125057992366533528557634227366605481072362838534065970233460866868043654915361590252559287258013309293362231569756936964489980280155917197069660615513282385791893155176770534501096785361519598008114703380022357598494685692568775499914484370642205221498429290783671048479879915585391590480584381318583134143990647899451370518828448492875873830556536083890063089253701476428153926239507147212356157509224486700231504006862812108211166709911828609713302137409367875269523876891798620330506111749658752026176147428562615772770097184898332367352102110730178578381238247000362786009724792786018264781689427265678665240047736933
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 3,285-digit prime (370 intermediate primes).

Certified number3,285-digit prime
Certificatedownload
Certificate chainshow step 34 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004848503074 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004848503074},"decimal":true,"detail":2}}'