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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 #1100000008805742361 3,688 digits created 2026-05-14

Value

1193346264547912269346259448044462103894056217717341016323890800469833479738641713108713058072756774220044994394287828240035512401717777529010019121582757201299922323854559094237230542661593257013330319250175497870073930234487071672640020778923618210255600123784683410330504896157350031872950408101962962536843939018164204857602765029350321880162344217886842250309964825478350771080213252590205381328726069813435311295362534313092233911803321824862746932423552723342401434665050590742322279216465468070736613428728743819343894506802034938943093390967984354711288020888588022808470528334772641503324872050726448389033539559420047245234250490870044967962581425262203627536885382842850143888785478730729209397274728905532074984147557708960652585306270028229845744094142805633170492087064460875838068664655531492612465538700019165574475222757389564851875939901989454621596372267567499076761714559905801998222625459847948729084720196952572192121447560934662490350921773832191807643351909578894182391203428162280741788288292679640884080263767062159386377213562582586257909015408119436635380120685993492290973205853455844134870532072321517704869502969852597771227332302262330489033734720025986698884686538303800648144698621616861809713374012665904087854127845327041481305664516035223784079417355798526158217620188928480370035200904049290076586755929163188029856546932041689756480289164402945446128681605741527239828776471354540082315226133763852150961318300771087700413500948894492237537329905218200188271346475349350721057191321675835245648491654033875767856323057088833058462448768689420868147724631909520716571434918271337726788607467229181452693490185390428852550609991320096673384093793468627281735584957891875713172167304818168131479291675607539698251886394837430226085407114001800298639498349120649107317863988236396066997353637528978377073936238346496760019865436109272539256473276536410971991529266797268382412960934269550959199501343230886471289706746561649908754649511331326424729464716914075215717549070309901446333239071457097238808810713966351076251671351610478829284357994454480688320608423183985934074622564650373490164263015149210495407054089408393326258604872691881511915892942699314152191162028691019139110701895120737414073966228008849107952667073893524981116594946525934987424018780308265907413686433366185844989220656342281415494067008646020263847894497917283405011125206653635865215506521240858730986730545640151904227935061652788481562870354367367498169812394612665575740708380479614768572943950297268528800105882198370646978366567837694405515306947159930590248889442611556546690061785019464985082036636142533090386316156941344154725645523482613297691503126509001062221832212486258691167672053854642059834326564546539756996589702958670428143944766206276267287354764572222936961891927280082050741972576152846986463981038511730422742434855356113121962890964495945864639042635996828578686817722731829846965279800876673419737466480940199041504493340241709549869536403402158162526096388761165173754629917827339811359817541006651442981375437594795376243619778883683702819591446541047961548383052088443108100653959148033025347976444782104627732105280029566577388010497739047952138029512593955207209881547808797770655854099496375684354930966581708953300033369715110729382785379143894827206276262032047516707640191076583518516711507452513756565168281333649109984534359333212198173873914568546205340817224674566676972006592184527707893823883208009858286996560413630221343781333950928991826774943080581966188796813477499303599120703391911510034511313417411549324150957551484221964432263691151315315960060941458205258627456764887126192747623193059234800840655998583091660306619862177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 4,479-digit prime (285 intermediate primes).

Certified number4,479-digit prime
Certificatedownload
Certificate chainshow step 55 of 285

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008805742361 --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":1100000008805742361},"decimal":true,"detail":2}}'