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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 #1100000004817035302 4,599 digits created 2023-10-24

Value

104963331541457819368441135712377682892387830614936118317938514303706223310823041120451155532888534372975922546910062719858740756476106177784358106236031278784114765891217317430193604258279519251465458677123216162712613045663456874354263614599594727611671928005754277072792050245858998009949112302957381968859884912944492636534134467660636066235042089602758974666387005661265373280829692219563196740059128360597126133115898362661190915840913101046090979763359972045768920700145377134129968546969262897781149645712095416132697589705737040557186989595323765900223388403131446124245594629345603026654670313628836485448020854461973078084983862045183421557552663838085162590147978197435553463401128507766367688866175301604760893176631747153847868363272869868159160409316250563364389830297762723178823847750937160397628367035451183263063379564646779619593799321109332970827334586705331725973813140790470114618671139383687537938774886849293358649234157754591622634706530390633548578593693687705835091455168414041699761519561200520330863452839379005118698722417268613949762287847483411119030984026476099716626263814352225544892437360674406625155381194285840410831147537050958207169859250098871614997263822449761103641204382103959569521068690200165039389242531232765129633276936757663308701948261698053001942820983270133523889955067741633461046427652632013545195662689831635968374306158752783685817007283680296737442616111798530280672553501855249986684116808860264748593191387013312474848013548479645403516466890332661845164527035366004944769937801391551655038142920095822088794214178181845328678238336135682181200438798284883244939829597500471395596670654162358575573677048325423924714971050743124441422874819921649324562607775269641387688649321743338788610395640652668350851318735162061798617328777249164636400339680772660663610215234170924635274263997481150267507725265021549691520691057887194883030754455434125725984683078045388484762300685624653123047468262080113903453723871555813649644169753700006639759234772903489927758676861337050529828394484880135966892876776858611726056590502336652954606763341060477146955865443795553710532261522271484450966665835124954261139464880825917766663921813507796083452801651414726273920711086264047981665375549879805275094633132547686768043960418747550704243742540422102002030279698135656129526164322490804998285242660464256561924350750094419368779381019139641448297094643359455477761137992817283017332921270465357523048227928236114050869233045904540328818531783294812803686277804609149941705199452418711696793934391997261338542092692345394084846533224237380151758329259194771984408141068730839365324765244698421475490550278695224431130081424131930296990317854014597295342076827903684945835389016349018450211582803764913887426306273040894240427627378368655720273645119614935637475617374874600350101952828037190401447621264939317945047521402457780714723666680860176797721186788773343729189579369194243779102470842252592318957183178879482496778031556356006064664193441593381286908861034277481050707367513504825405856986704510971031052880164596945102180503288092893992357696140663251094330423167023000306816022889271465002277628951789238977602465613599049807752150049283452501930316706447541026776631424836173873801039876281329351841323883984163738192436620564775575620080197102284523618016041333185770481876511162934096912899764059519549432063421645241458641512134651747445330590317580238403251943124323076376114955476257021233653693560065708799250925521700499598797210738225272021298304836855689598333551603122230396906607807527334652285526991946077914987655172425581242324044812841844233708432475821749843653162824927105886422376885212067047676024645861014946048289050204458326442474323332328406239514343160792616556038777302463488576266229819960435926337338914186065340385988628061105298985268697901335357038310377425421410132329738724121505910891673629960109527351217470312356766438071012491141494060586797991516502660034937428482512408617815150881981776488681363381016860006503809262716632430377653040116596051186404197381881484798411244942946267501033057884530994029011151451215582170724877832855477126729677925161976844616357117668885624365041358141828180568669188346728255389686419387163024253741256044325852284663190355983143769610129297687542831011116417340453898383054897422574282792470305821907917325571688847537254880534779696285126631345506832651615981073774339449094023933327183015793447833225546952446537569811762800673960476533352023929851239816318651318872180880836570957540076335100551575471946069847535371422603284468023263484899610438044721226523337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 5,256-digit prime (553 intermediate primes).

Certified number5,256-digit prime
Certificatedownload
Certificate chainshow step 65 of 553

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817035302 --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":1100000004817035302},"decimal":true,"detail":2}}'