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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 #1100000004828083520 2,937 digits created 2023-10-24

Value

491948262250412565444768334683429656131950333796252972543874678140889717290342397082588906708609874387493815332710138179549672109719821269264662961728305880322277976657117182546239190859022299062541111635390955718555246571601595640386463421679306364149787314192140798308639218590782297061685312237065441714008040482182917439043762149438470680848568112323587939801847925245369455098391976534420779737050371323676575173036805231633460042877982061481211058766075004463990685675251100457519564626039293339732822039044706494686740145919394011745663440659798627660609948635153894360690055915498100290045337801710021239452952889470499684241630320823529819390738916239624560739206033924530698357251063564620913723359654975818885899628652367985600567392479709617566309769826893982053361556998880077031198559204207617013851275185411744283784074681160067703161117977757493194904966892769104551798048095164684114263509737097702691923944443921543752553130084159332010148945472994464761967241358127876558237185145704101435204427005996699027511124715549737965428852294299951009334006596821631071267485465394103928828668690892569388682301081929578979230923050249834374715757579217262708277355486842534105918711665899764107406137850933181289644652639991417169678748677891547756277943795297882407596837860482524474664442615472800224430962008738355589152280927987745084801552622291329593585541490111148378387904431932441780804003847327631061359278164781863317838645078084720269376842120525426839280823084217355970538745773883280574165246086255669673538407556017399207980480973669530501572391161920014426783163072898635797865442628924651428915640489694506084417456937718047163754601050120261420433600855760097330447601901132874589988735707427916144459239276687634464919386326740416551781424823456384463961641537544286197703447896522378243896982981698209621529016205451909449664520724324344057986158515774627600999638393336246814449152829983228583449784898055951509192264126115898895891616357428480419818200540393348264756158996114706753346994875556202019955389000191806692851798536623195840915007437171534706430607395022908147589675497067585825646835195286927587415553822216663461071327370360625990214879099277886010022380437765607895958389249097931939922219802354729719690096308690156079093876856523452964147481888245003752333328806847555707436194280539805755361760059593113534445369370645349003933208082429485284188899105485753949340150072422999424545714215789925965005325860989409350278799880619494601887082390066018787598833356252363568851019601990180632198626319915002665497403475075107699068330590720215366018890043050789026903210358973995019417852183191428418815957742309140556185428680429366108234173937339599937261186773496338766286026724447160565561354667078038546948002523092644495129416083233988194752168131161833542143239987615155667770253904202478651681733682843251136013967374696960562685859008318705317249977077075185430222770143733788356447
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 128 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 128 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828083520 --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":1100000004828083520},"decimal":true,"detail":2}}'