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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 #1100000006032721559 2,668 digits created 2024-03-03

Value

3987074908200468215725701318205415861341710249138353452301740670124368242795498293130681301795201803825001524378945319387519687282594191782394195332182548952218798775804530543264239377797029659334592591732816215269000347719529327425452988995728752069949602123340754008763126783696997355664091421834283503660836417565162804997454910802884797307731718145299254315529278111050702141313423366760992434249995956229673764245352547997119266794070324268300419377460032731557399142818074222313380724601201280083040636629624460776529326595232252099953662997050490881583613395438113194948788254853640344249101124864097224971701288763202210027435267174540468871280614254176595266246453382184506310237420288383747335500073650154083679460357006559579834628028782406397865997274199482850272314276246654697495205949706117531217723868278241558302462109893793896748659752227963517833914039629846905382791302418027287564949488056956807002609349622599056331343224947240742252591305739913383601328821887885249773082414505100025671446275966171900074793921294535151124180289830176852967750982427043858675491389648729703871613252377035551476049386117219724584108549165880776135002071795840737548357869931219870964176217857804302582102821894967400542250182063958144918184675550361518039219671789924397319423163656480861030005351661978547994275358260786761631603200856009681093029714007146222143246065269808558605076424598345839161473942098626944955659707600981085782883305007585989991212959786370750076584400796359360048321837364100171150203196986423232158705430039754603921484745767167989905365226838047763674693810241080629433473491045268203350263019872277193148704780772214617514365195585102124906664852059851668530641400452704370349216851286078498915559027040772748964960430441074886988386846107475092703254928711126803483350973411240713608351303012644235803228356895908870125520411718916484864446361503384163328068987882638029990812565505592274166739952740774677115707937546265319737452458698127216507254062479285244032517828949690726962119064314357092203259346366474707259714081125654444516327484556511493272147684953804049969244380628019944215434290531990257960910804885156711160443325273666374569975673964601353117955884376237340406783956642060886948825140843513362185195661871385986743565015289529418229780331257684333687602388284133309025499905202894699946489401076214144260186479455887395751896472212975644700266583383144116036401258622041123295650908613797463802385687250551974940227361929217996823762739558399322694319322945645876539962114403383492925785218672648981244849422351661533786084761244560250087026955640899403411333595006809862938044846004204214176338434326130325790677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 3,048-digit prime (224 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 32 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006032721559 --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":1100000006032721559},"decimal":true,"detail":2}}'