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 #1100000009008083147 2,317 digits created 2026-07-27

Value

3936036308230640222897235634247364462593594916580105416507515264722922845606486758682823429671231884437470317416172028281258226917575188456885333362220972421143260938863576989261861781721883636854408914359378329157136945585399481022310681368561509590169601112933722041692502483248208827981781958546493236088677475911074967928529295122123634027971115546179924363704718834399907416584555598022936407463909713647071830329916890283300343212550616414199249280822457460958172392235327311170360053971000547432757089208195604507626585290327834340840746898384598937159623301376710656072729482408135490995099183870113903481165678843898195389323530483581215707737195711057470200569663332746472671740527883909355467211593239575229946764133185152487335650535422651908069385514183566846769973938852911434234863407679997392308747339158724848651712220685932783510932910685959432810803446033375666319210050580687274266213642698024343818419243474366427526823958646269136573104154733678944555173013187509985197918422838774844094288607514948783747623061113127853453450404345151872905562836498600408092573062064498734803432459304653226457695923494435755750597955511376554861985100893331545380138324008394230460561918486271984950800671466901026964324197401044037681831198629056185244639017588800549754180484398310790139646724038531213678634743556156107450616339173700985889036835082301467950247314683269093088851407398581857826389023334909803319471817012508812347494751083154189270873124579371438197488730067678595639348902832796277223698089513972565339557744588007250939842814860172514947200154471086615667388217164404453067509184158353861888603330371248327502539979902320177504412289262049589504874182951020742939533896933247292814117335131042950268246097851644404264070491774986337668230307885817843632428873395913476483740495151472759730445699457977130480434987260537059952194351423311590755182332379202684112366101206951483550978485013815242088988842636963198468046650607965848395662897164221313143946345510532059477189575485994202857266619412671854068428431016657277029531530039933395953909084522554848694730595603040641568606355335206608476358416086730545086102937226654579589873646665544996192208416318768775694554886839475305248412288934494374601403824230646675165863921058131030876168861058105823222246555269293181488211561662559
term 2611^678+678
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,317 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008083147 --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":1100000009008083147},"decimal":true,"detail":2}}'