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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 #1100000004813539334 6,148 digits created 2023-10-24

Value

34108894528860486757473546691091984829230484778711899573494659851438700541486415970874697569207697223788638835173930627818809028761383842374818878943157316989978248750381344720827045322773406823084910524008515562631739426731766433593966340819627070985734327889659831616984120823692756321740423822035962411063934303682395355872469313295535124813820981969119018716938526092183759000803627996138489811482627201682360735797914748478015983433163372572417921276054987099672781761788727963685163751838017225952723165406839583002173483696334614689782950651955592092210541597632108458896894633042150890322156222491120660567021102628379270157544074227475187328314630910799250498180722243174479725959549088179555644887457297453868623952098254614522179968485370103301351900376960092442893417606296258802759558651040595413173274401492088384214517650236024012344366948518990228411555118330967202110337659597543353868210023943051054215620370600087525569547256935787960349837132199528296423988638105173127689269979619726212297939850225776085550318073684026681252849246101923062876568801171199337020964335376422767349628807118608332169445241609982378681330243832904133328971083206986590595813502168057264292630355759281177797538229063061863308299810985694217386859825680359980607235184171191746775832941411432044415410782457692177048663987298757584601225022227296986214040667627232163367146951300161257925339165355278139398147216677238375597271533054610845365304502336791540805692581521510228659832391664129010361051520002321329452459888237405791991723538294479086226214726788738862713783678984102616808135316728737969293435233414752619287156779524258704031579405470101104962241168848033322155545389913486877923668968894797457588471274654205895990466181954423484519504943802991535321817927355055134826711925833319127568804540884756834734995107401381086721730648604284054666204260838354100182369857917667547089010798392478426099427676487117294159263013633983017889202694566508172691376949269583215354316365279022971639855568271801404984711032524218127995223962921987056262519584664185024716704439275723667434755678076562713136518472279193588003542491585810901086897669215840355032669145197697973815791316932842515580098935036640276182751996640325837819433776991244958847534421870895216677465054590854970501738760806404063082547781801889119087665443351486692870212599585391357075869690205999277300049627107675130651652892836507537181371947369858594206763134704853981818402220090778823083222548247491826939523205472976724948797327364397566320650446827978763543518538407510592073823993979109896067004254246542083372426600942321619497207896820006586110340553870404540468504289994310242433582783726350828372397544496505553688986845307660990076522670128182212684813269811774108897804259961949427224493559394984606699618710240964965658730562566700490907485583711866057529332331329030293715940530159885816350954285135977934037286373745140448150656779289579677792108931736496864027397358065365827955167674572900571757342405818298218602978441971517788809577866016331937519839469459905777232665403584146523849187243603225262586253181903332024937911271369827700198743225842312579599555408826332296844953527573822754040762333889334300825877194769797191728569506558282136493329360395187653716848638974040756918313184576212866805850736476286203925530415974693436185396992491858316846980998667979949885470691264479523369332005760603069549692308274596064753139183244310903910860245738423816432443884599067486677108537793247140179015375248403280381857206320107345135148125443586350936685854922032544428138133399658643528319205028605194218319837235328121611324539966934496811524968513747636486905806907589784650319014133172742251189312892057180789983247707934843745857670649364921475954708565830573952187356274134101222916752038032372561826218558376557660764230483192584592301239754040002676544321828315093734203163391488379623413090192188862190231821280062334336154422857578681201691567578535407682123279899884508008248095219689867255590007365871678105031261857683393677504325927682531189826912907544940868373126268896861073982035638600399489679092548635115571480477925729431434499867905841499211911726818296128271614566024160168014282352382571603077544051260357767513525554794489314618638727630627086081903384702331171811979216486173463809698426864791312870536916965631857972763822064500061807982626611698694275269819766756676478432768587266492097290242038247418486970364481409148737650162301035068869391139543218641945822585116372119733460921263969662910222892818369623544276941677745998850803168624285724517619094836958631287835507693139639380569270552772825726765381698620430854312968153990713353608044203567660639035269711045008416347516903845125523063378555494404329513511869077336625500790427910945439321930418230387870427530380716320000241426604349480501742802185377332420319540551663375313179365140301915526105412916097693054906505187867292692258570562567260358658290805578047042364530398279964617917931016119845885187642595769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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 14 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813539334 --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":1100000004813539334},"decimal":true,"detail":2}}'