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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 #1100000004893493442 2,114 digits created 2023-10-25

Value

45384685604145936763768106165046203639161486309226709946079897412864548463324678942911328660846827720171608821591845375540779042857001078199977245698677388245959298384256284418099377356577939056508946347136270208146909875514110688656244200178883725562788689793519744428017980434740367086205190456164015891464296451475912037989767062334476383164933353126833397944799284321440950408266446658838155648172028830705573536218221369629877992419796089681562203404272689476325611574585523797549300547583376493177266130785125524195704108733146185368546144385948377374022307696466388679667668391820061018087920987046088145424001724140368623445682136467349277651339735498307038411922097900318358136016823607709141047672808869340919899660492776476169189613309802367017932155679805193552580400869372237729492286134945822393753378145484179940436729998069678423684790437789267148662048461527825603047272778324263036361262534811597235134470272600933235851007734714129850363158919011595899963668382496258581926320525596943043096187557313370524209533479381711532621482883373398418905293671976560588364904385749789448716625706203207620149108909027611346502235460761796076637106169689270564233127909874827952027336484226065495958590717099302899489417315482770233127676146420968036175817391296960123052453889549132755585852177694360918243449211165144819685465913746976732922451770052958504199074521814651501844569126378586606854762019839535755628257217159000986421412048366549360723426352887262331265125108604773228232039832398212447399863873555281690617425680018351547870896560192076120213601929984492069761811276623508657498740457532249101185611804992201753052951977432681028201832243207865231975432773849616882679590577545365496474890292741126386805012798037173737787515184885539159846398615536831275709523468740145954139006237483124991221015782979696949211266769916465007698881253844189799521332463602492483458052609542639528393904363414961438972474313926944669541286602749389979200596233422496112973987085866720422825334402334972690559788606242040733702160860082312434690680144024914262968095583275512487497291891048813677666785337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,184-digit prime (242 intermediate primes).

Certified number2,184-digit prime
Certificatedownload
Certificate chainshow step 9 of 242

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893493442 --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":1100000004893493442},"decimal":true,"detail":2}}'