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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 #1100000004823772076 3,942 digits created 2023-10-24

Value

204587076674567752987702713800537343963389513065985803657377056610285422622757349532581526480823443811528364532435519545836430132634255857239036582265764170423701567380371095247868462640048824875600541262036915592591052850598688182400593667617821551152040853666551784980256738415677089437709343169358137913947558914066795334425993141740210338114765063830081423240856212628679959545175738996512310582375257240239731003980133376444399730248515134084806784243601552041981391880037447107984381459559478327520538821551247504371549503121598460865963205094240475670167708132527793501811198483962628109965827497624929509670869915915719453334644952663810768037763612867538686459059011143111774681953832869018885005910107745582308133069323197730674137308114027541446962800722117380958314490409335341941405830806608188912989379776546137592143385837154195132480288063428607510695953485309175690421693586542237975375155399617264089953448454586665227850827115274933853930767424458073918021060523976646023763284972502592693458662873344708218536315464583536915016963798216075091078494068116194010130365645427691461153259687536407998401376376619525592568221634782281113369976242121605941285095887145727227731854732527302857971920107535039686902306283899446626551996968012231696822525255786456095133940924277450235946807324666034017756810921500552902937511566462358129028410895018942799612515372477376641383723363388280937706935473167762468835442033746813219050038124668200136420263080533562733656517394727610602777998322031939708268811083885288508666537433356883055472629194689626765864578820711428883938097389171006716987007551329230836153756813796645549371735467886830392585278708539893972485703868623550373098993737928256500361883579324667784993885389996505631192325079978726127050764193416479225893131894752801841035491932527401985367416620486467651631281047790684674967147204129911837349863965687271133799723475586953444049515354431620590742990823151121390104941031628233328976031898851101132602902963995175222256442419980473930369620242409371894480834813825013282433589970416823499721098801009469965986320676684047724265458226945905332743156484225784939374457755918265042595913056397458779279793837261487074384214269006592897994286919657590521733960339404132541391144117226172486217003496260008722073245257712234407668324575412291827460114069114940103622824178218738013911729022425875128708967956354784608291276178859272408555733193044950219144583285038071704171716359094451089151096317456471651625523544545114311773589569073980965710831244300978372670158629772298332637268414979656804166390873781140190672811248582138932681685981601712122584259534982839611317005559642750345659953993757868001803808568811488519532256495339115499551767217432310780793699994347339646956633524513696328060781161828841650850855147112299939459221446426275446165947367328711476760433428990849693644807490765281169254506174642212576329378871652904444523166566527308731804239501411101260473874430688749843672992730455905224199611995316612355368743053383964959064313333553659749607817611233631207700220313111483903682680119874063171499842992763013858955501146191577186630782116879256436950812660156245685770959877136835852390249494149405841934380690524150396069729840563173336012138634869819696594506586662663982185521731362190954304242258024219240191342486857123244216402909283789847021786258004516919385687986953602652245886314426902938462915989171969980632077454974249749040192183659636807785672194724143419168017675889872446693463343643994141363824882926477375149979461462682547109310185840766682070004670534394705910174737239223651503408525802648786434305073890669619052333744948923585068612072705584282744780380744155801528218297783060395213786992907221736569383487389278740297857976404389577030170724119187763851192655459256312388550951570818870230762933330373862219380174593027176972211474886429491195507593162449459413010922753384236101090657787472094019693502909166431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 4,505-digit prime (457 intermediate primes).

Certified number4,505-digit prime
Certificatedownload
Certificate chainshow step 54 of 457

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823772076 --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":1100000004823772076},"decimal":true,"detail":2}}'