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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 #1100000008804738343 3,951 digits created 2026-05-13

Value

109776589086111475653867394300033801394276877059039488873646159412882582478440014196267019801449622777484709720862821035138989504976148845176634154213574045377664340607090288551649517771477083166275188126523914608157727340337349915256187522104900195713070328149049101761074444272081653831098177574259626681173854984854774011637321707476971343181720613926042366928749647208980689570688656394819317612960970991570703024085537585638020557713282800550691600940624734762296531107870757341637806271094952163428396688107232394654138446603690227219177735801528430707443615566535361575942370720998698319317445469420543720115063918100466998118268580375969254506787982031282059471189421654978134630434829219774743923146129374809227849955630237067757791064476309209568691662631279385124362325587272859173235108258531356260934462930168711263596198073562742791123827489276424476172012395059424189820225386023541373078211869710628795485360329762295695004121611124560566955562343902153727773144694223633114202785585755320462374060763224635117056279610236239523858033162911375220466252967466184730768870331075333032364170521813722022648303950776453223982781189408339033168679522795916754995909288862683156497285586880539356694866998749793332037167406050100405979173390807568931066361680922000094452678670413882649564570079067842361925194650164183700851020906036737779301370084406093459393934582540822070974145597688388600874592957581976229777916902270125592826128605634979273954185554812993699102437999959992660400198546106201287298264394615862467498122904052646201109834017082955446052742819028421101698883823970714887982877915651222884492447570379772940720652364581263392899620141183882337324441178124153210519682153128624586603019239015194075763115893774413598824455928415054494996764630304431469226799867771493997937256894215887710894692467549999967300927478901477617817215472574146820277460420311930076661952797072956693538260858429460735043425565729710129225646684148474443001464331184117390424144579435375828191725738051729689263259747688997977651333134643588116721642876534825604305459291934634887721998815523017382776689877399407448943679568092176057524391634498830490148740150712387215659212693552655560463798712801493290202388888832026494314659685638298650364819802667725144879739114777154336129846768375112606158207241145619160905329134795793153602255521752996006458248118903748367981784899544285863991373815484869790461946774039486002718425956279237544039224682997250744816414119910635201427670752912519734247364464598199395270031558833297702532201386443444303699471225577846431119366206462911038618203201110466928167324123270731988280802052642571302402995654355680607803109458721950565181401463587652359705304199128746726434915609079607866928652287255669555316726689110433307415165351842978254209452856488265699753022504730446007179007232445595614925707103702624735504560243322598288750026959185359684363464800052134961428776017958768938899194167569198273508159413858016990802534123291520610820524433262662632724322063265445164570924644176001280950001415670205828720710952066937011621515757601386200438983308304572413941979970773432840097584109649484316634918010715466402334564273582985205719069514001918921626545867712233090537573303084207868463278216141107826174909793304747964658754563253027851950124128389034272317489820564333355295780032854285769735611958647655280869857447738943093425807429645523426630831340131865002369397667374330821838014787544338006568894379829299606041459485031076460840213098396399601758708865471235382529365608630478613746199818530841452655668324846355299218473022883076127029605454979557640250012801135773822948106869525971208048538524101698535321797403245363574526440715112738946457617357501078946049630898809829910810888365157365240232712753904790487615700054621301542419171416092239375397486634169848818024472772886870974115977511157426612791703523867068853668972085678667178590454527276508200913476045561333774003552611
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 4,113-digit prime (250 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 15 of 250

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804738343 --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":1100000008804738343},"decimal":true,"detail":2}}'