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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 #1100000007301463633 3,023 digits created 2024-08-25

Value

11421690653350966863784811640898310275020355289747927674754324412346574519652167731003426664511197302029074910946225704358778571190145307294572233295428568895699606619827059241481371679352776420418659191943946982529432723888004446494096722907712639084387449083228502902648443218241340452233270415399485095153428243609056380777552330856795201245523698681244479860792251555513644153925224140022154423553490146221055254769156463911867721473435806481651435302447951721209392905140210629883188029310675764508179132371977291106896982958980651712765773248460868300111829990975455065493468851853053989493544388374623966573906314098567329752092288105058681299096145415457206732824208258044100868553238811030910662289564077571527507316406967086404829543451216416617152960408327727983092889794070568824495201362503678388359369491548877678121005032688473556165493032713685142283348952304227091636212761925729768794702465412714320656754322258945522228537980230971538421016267733714734716219138939885755203761640757872504175362347131972420925362501871024413488293211149764609329572505378926510647438991808202214263411119645423226532384435398047192765167216954821421237059665366050755491993806215521486758849093535614491589684123960106843683060711993864300271302028963197449738444648213576835729039302652625431767905640782991772742307891946930271170922050892918994217066657957829609997105848815052925776366597424033782036396814174232462750166960286214275678755556665531952471083378650543323188593659437805934756915119973214936668244464542765230551618480588075518628557673860673631865548640024439922110970176475035281472249218853783324715418547903702486190912702373865939109704200342824115468009428060743058042452903267149866652272522861787174089226533489271347170952757627994952351832726315203482141524605936131260242995740105602290906673314793163468146894029809270091777761536667028904287182512691511727647811552445280995997167800654790228491385028306359945829849963746096451644230546276492920234105522307960358037733419376725786343446298920448752118222179108765752514132076224308867627165287570765987299732712877783454526628125310604550144465014271000029829057107669135552397286899813214387878984349935692886652813146983569621915266796411979696193804980947506125927134421379947423533168025150261223064708373603764065351307044848249257019560016779634766864895106422081901760631646194799239155336601623593477508998729070560567983329658658671066817425825202735312663974984828928511882682597389100953584275129823081380688966755182411412464159316810208526916499148500320835033901434903747480521978187081645665723950599895080101046127517154004741176849477146399822452219059332031435598999904569395425841485327740956694092548624514314744976725369393830392391958750526345641450562130871274060375775816591902836516234850710758215066210342981484040223277802107303963368728212412189065464782987773925993294254308215998551553871080643845413170387915695204577568681018915441976156818527020182098800583571358531417656634640544905108994298433425473887
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,094-digit prime (196 intermediate primes).

Certified number3,094-digit prime
Certificatedownload
Certificate chainshow step 6 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007301463633 --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":1100000007301463633},"decimal":true,"detail":2}}'