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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 #1100000004814907198 4,839 digits created 2023-10-24

Value

735648143631123946786358665452492378621557189732458211843849971859032955206888177227942742901479327648468664835017712556767205244732118659118437224825446116027435523689192978841939784629823657958273471547286126912197084194503859141513075068602097111193392745701356761424712399976199521204471826274411480693297509705221591528981770658041927254515509417491332740447582941357414777893994056156550752653637112077900860086822516712260479569327916683058159935683283187749161988378540005955674547281866441540393849266814510452170189488226563945434302267576798151446392702875370694388995840428970272325890609799604038627108463053840688535268466401722962583068056004646572948357770413824350185664984191295877659692313406122008084684262969697948234273290592778542457409016839028858945853982094505019949406911345253894217319966822861352465197207951541356847241984530909368008482436794486526651615855716558086321716989833087693744658901808259645666266122729306749160059995103786535435044809097360452263196466747148070038034701974778214226250099247231682181043091387365646717764035386217346627414790513276619582965797367173077664816355207785956803948168313479235854924845115177141758033374956543033144091246468469510383109079486693812608002097656593530827887832369660752353234535495956867423584526655419581615447482719046605188518761315888524068289614873374671414928754299514325509822569944432223670113466515976529510191284453246728225847270406044257343469661907541213958164318681664557394887804847922858898660735463248990992700135695022950568049895329413685414515070483799130612685388502061001015366000886174536603946537027957640919618698683472329983540920890867165732085361222552356955835231619824447492098560022174690349463134934237326023097451262659644827687019711002876512009952892505790593245498220017781735340081912456223824113879709956856842198530882214561389048862797249790874298103691981030332553344906533229385874457379775405155261045191405494148516361160105225412408462710394135870567740239489308454663884720282130317254432306657511672181007821807548940227008631671698350593209916806855391422048437698953600356353941496823319042447486407635788929266518260527301696220502153445429329489347583271784190580483314752442681280297478702021965253457313057872384114441723743810268110825372037428698969768022654192749969436270785637643799758040155921756343651790770695993552888726059605405619501713396454697426752308775496952158551774176165989034651420129639037216637451607198448041530164378296788928696050326706968080142088470727028162735684876466609761654658551381554975409603627528375744196307137590767182658969674285949939403303494054976417608872509124036956631000704981205916264289378907656190803016813686924709763995483681814961509922158273157051736065027976530096648983651238776664607209531328334092976027589569894919335170000373656664696772334264729637522002366708870133622789901208512950111168970954432379427211983451646770131454049784370725034580603722251255155928230277964697449931969887118538021317923872150326681311565814141505136096566780744480022087903243564010796298951355955298516018526842259667179294291675119391306893047778325413351400824605918280587729141906081082059438507030844733631622672542806951542954412347337946022864937716455479053587713808063856258537046691405123906768586467414718796083861638176389143751594002089910791302607497388244933110498739133589849615630933722632148951146280809699759079364591927236866000664782640850452923431589342530975848775855383277825916725232962642595949445911800876430925302359472429104727880998619635913031812288257964638494028210899960830548010788141865955640117670522685652011207891390404681027367814786301891546281323785926043104494256010255646841742226886496155092642504167998041734269956266573815422755809986007629333781745386426791040921768620406482768403860033130737940415301173987524794404919065027746889855114895860675116185313169588051333934155914671118317431619201341354428553272877092579143095818857759970115548316162128625976333720800039053119398425012835664535874917126239591714481825113201631533800807225681177339716265084416299714885977888820169033743684826310351660260027018034296573188965505866887099355203642542061228745131418113165896211742973720136602665525846328685535033748667198263141605902421987016619438923737550974218408735306998548526649804695083179023749089775367274611274334267117849939441122273689724871673931652806476643856735940399209754378897815153008040939885582028779067019342180790282379213106575577137585178964533243671905115436267381091086971986374594099347466942562562022584213286308195410777507151259620352573751355107579760339954113374574587879870521233087593491491161864293588431526228956101936787105998836357471682298014521738141059344232194947642884432593524973937203973415258258772886916147342208363307988321634107414289282730503169141982079
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 62 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814907198 --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":1100000004814907198},"decimal":true,"detail":2}}'