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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 #1100000009031901651 2,365 digits created 2026-08-01

Value

1864844696769103758171325122004081657902824041522620213226880566367531054015578166179310360285848521434797517727755159100545074104040729448040920685947240641308793787882760631462019888152961411714214549054563489794417797188765080621614635392050171191920746367277688232865471764304162081183574769214346872186886216906044516282849519638186953381397640195275986069648056544733749630661956145054254060024179262108149435046399577937252787742463089107429534716131095287183251099878613754762868338972767630419969562088221504334785141444653627744361171114974762795342557508577731252248992613519878659978394703391175017487015956949274646603253021970344601617091979514831585438277987318019009703698510514472002090489613273107350819355686314519310342607134965881661536520641876919795092201397869057847999491679808525595808376147577124809887816527943024180977253262755836743540160563839853314536355437355529625524813730894245609696884086448820409042788664126363474992619104868952066414840708424279737044600967675241874554427703525733477845760174851451965171690505044379598711104381726121280951196719152047891296667621738235490183581909089731305741670753842427564053176685227713646693293831481614396128094523254468600075135871556237655567821185518454880352419623583889883811036656840780469891316962321097159320209170186189046584125231046078420671828443205351432776900882986053803360383590243665961408470156415740361746280382211707999910115769642420096867700397643699247604556876685219638530524847826061282479902294259042347745500149238641433906385868837663246326493394367468970527559362308981418556636206376810136219405190061421525372444213310793334336320071126674895980530860271239998259183465465618819511572947907235036801517685998806679435341953571515246937237120545609894322869307354490889267410215662816488390704985206522446646229151058438696389245090960045093571503291355718709517487336794632075169132349055829800045019176623964767952559659928249401677406934105749261721070309490017195807991047403980523801859402624279415853970639815574450907222273771279042763751134009121238118843951348123893724326081215218458379816029696756544276040927151102077672218209474780286070334689145639530539114675652688825032857422414670215221110596701095026359830001353035422907502551296581346559852187618480427225509439840816788349357819934135544671944015892558809802808446198582191240643811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,778-digit prime (207 intermediate primes).

Certified number2,778-digit prime
Certificatedownload
Certificate chainshow step 37 of 207

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009031901651 --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":1100000009031901651},"decimal":true,"detail":2}}'