factordbrpc · fdb
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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 #1100000005823834399 2,312 digits created 2024-01-29

Value

21085260028300530876612547841503198410215435867035966837624323502160980155100991257974984629604554259472414513361734442591855494573471092368072119365071312737283140990324987046797047752288082244895770547305376088212115089498278357532931555935698237104749586430183641807850507898879412514859641512836145042103685031939596653107847467996487011877771745197711862032922521259413298254733157427542610775240231607704216382449501396832806091937073341205255599755601305324270396811949033740616354242366870948692368540870195488739066211489608098268789448952550145902794232945239137542689674060794326845681014069624116119127546115101389613606064306493183066201935921414086538535274921440485234157332278181684752960402261909349088739134598663796270956005731511968747711574570659646340206618550471611220855084884040926337646614362937366226347232706539724701587104525361532772942151256047904117969294516530698682830139913558025584511135936835603534015540720977909688110332146062005409227047599806360123650768070899204101139431158986049863438480713273055905280668885636494693673522808553664908126615731346734023029011744542210186006851679482041479702002255755500837432453366951700422472238849561074024541186437488495707352309070811969070117589952846484687252921029454332455101913368244466288081861049697817291242726025463911460680587962526125437464452780563770843439807069632561054491171698713125749179141398192449419423756033966469464487647964872170360380723719108229034120637178171748523362755832501683285716133726070042079906743692542354129800196748878785109019061291774720654357965649541118882444516364736335708124145585025859843972807866961951395949272549125270336899505570376596247780555073494051552307651613309367014612122391747263865986914577667275278437079384167458027615215784709660162944499512130135152175188323313539351605537226505979199070642251859476949137837173839702635316045494922207870121499675833204266710286534780565219112377193167770107346850234758160288434901992593272806501717071780917459356831747069028900608776168424441266042851684268364902850320415260489001187281283200986180827774051405770200901555459730079408791232322653146745786491367618219424533669216466124823407872093810078043023124769529965308704107099475961833117704619950390011029156142282000463781328013002959617752957408713468646327594909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,720-digit prime (202 intermediate primes).

Certified number2,720-digit prime
Certificatedownload
Certificate chainshow step 33 of 202

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005823834399 --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":1100000005823834399},"decimal":true,"detail":2}}'