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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 #1100000004813390204 4,484 digits created 2023-10-24

Value

21271505664235431368600901078869215387446353752329387655291971324831521676166270837331504608561439969405647261374632343231440081515578476148835415148162773174330256722551818050725590273832205118536642642350049627306414632748315864179630137069966325510445137539868435364818914286625135382221363129140933441625075287372496696169975580519881361283025358135106985277120514431364187001532674314329432190194676165360766055960969546290320843856002372021036472739056283592281061237053234552941235471845417144505596908487345984688962781599698072456301728231244969994866876784326662000193162497879436725734501601683563385181123210836454640018676946454345619314199563021285006793657992733025319499286798215682026044212011841429850124186179568409697077885614889446695557808861737447103794219048722004897774815026933682790011536210922140267491063041036535497325703194922426890272158869421213937521143085998295471333321943270749310271570299749580354863300868488768024618884432409441582134079279525807744227360398179001352227438481520493022630691365181687264432369298261894886389501388989846931792427457309188511786710808234327558806215155585697407233628993009063065003254162856236930688115958786058295048362938273116216149965226342334410245821641240754043325704268036367719419194263884077906140528980989780603242008123679335812760832186589544390152393997413712056393292074229231418156563114862148713871919648491778894687611729110644384282649087865877128003638717980400539703053777517945864733539189037571633936834069698568132416808131775500599128088888617656946850539587000102399853436986123335137533177417718963572894466425720466429497730264276602709354043778235911610962423381752729469168288150556184771266181671811981228293349402245792996634244981817095653563985715467350928228243428484347563566630788411597042316897842382661126524962776960857822174868835044861521487398240686875213922392276123673786135828441312666385226593178497191716053387293274589438318210191189895480031847573821486763777578215993251755206186572459742968017233585901929343329567157748066498045950672208814546490842059330587945762343695129641063964721442943163678420289305420011253924831955681464781441174485118405519340406345831451562696276473890978529237212139581689924283140854838594737050048256455206929303908706507409489313720729887791113097246047596406184557451447760404569221349351006394106915316366268084043009447883945574738764950368996317784671041050401056858563044964235305818829584456855954559807451889213178581926045431757935860337845824807127034276670112489287630720016142484972609630524940219539709955746404521040594041902154585067625078568017094882646034645995682769080520405260157662480020177617992955009672965332501490423548509058164630851465810881667184988434500300076749240716085714254311997293668901854835957652480834364976845729358707704574838143552870852752127827169723407497556958375289635542718054367183469056756783711998787588982582705292115461450479248512955373078738926961066594176789174615090506646112317162828673199893838439121759004574673584810110475825084450101145933362248199983402688653404940398947071866766712178102208439209558497686536581210535866738125679261602901175598542310239871664843541600225550783722633748099079181971023835278279792593017844786011831256274825229281127853455520897252029602866566448050698918545301928997684136598874543361873344178368763024863428504035098028165735052240217773716057115692064333741734617583235690747007397138188854680952941894436276416442608973596990095172897402500102459921160050276668628946014781272908902268074596975165837301514115415132838246340383849051082160030325068966571219271906825926238561770768927050200031418989083230059997905630080212830718738370794812087535188564003528588317742994325284395288067092332481802599820679918626851234877982211970292771985831276971570228607432969082280332812179302209850034026709643908715394870795077019631713806897705948794217559370018053040476494392908488789981623380412328684444697025585100607662906088363098780655936714036964272598686274828132412198266601427052511284919740033247214465232110080311990750077414842471500303302209445988828292838976672589773807752677704691164115819475670014604283515961333590841952528662112874805841957898287061284124121479931689923673668961862894156883456671238757049913586758424363813054933383965487443262406016226286474127790396703915995080896158055586884717627402903972719140091806031868561641906872878346748443353491888781534891143591585510163255878211349329392709721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 167 of the certificate chain of a 6,405-digit prime (635 intermediate primes).

Certified number6,405-digit prime
Certificatedownload
Certificate chainshow step 167 of 635

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813390204 --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":1100000004813390204},"decimal":true,"detail":2}}'