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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 #1100000008814509373 3,878 digits created 2026-05-19

Value

10345286992467628737911013434586847263859998047217723030013066661131183959357996424265498892224646110640902174969492818123075893077692338078870139896390172830692034803327971622844863181138539632530914206444295829156358585310540183009909889558078407323231764276983795754090774086576388104837768023634170912635391686970362799870627382931910050140751778819690105870891720650071974732965785738583263023109936571680394706021410462097048749415149273587793745692453177982911592685390909121584290628877932663493449922146144942391477878300887862487983526875619467735998614143905524406018073988321699368484961658401642865117837203443974645493951649322058714803374495788403735019335471135247804819481266157939962323616848538249567410856565860829259433691986391223615175272997728977611842427733610648054558699620740996507645147851194118853216183089299462924955001408093006246492848988731231109745089818685429713689339876352295775556660115953668208037444045318736308124364058239128285560515526912781606940342959804110666604545531933114312683558323213409095031102206351019604299040782657911169570545622865843235368764027229813934302892856053231914438700611541565148168934395877960130453935556250505259280754085881960710434376697796402030126049615618877678888677511447521896458066231739192794812088821358349996670938496346198795046965352377580525162814645766330792616454686824863602654526723340256612908387255894426838205954735874879764833581414501443642850742194244504554730664637980422727662201312352041336139109026809981077827445615688975156393770796211388871580640638117234767825133186125599434725492386587180214659720945080809228003116051815895226479673652831815046370519826586288295687776026412868139563350076023856825191102553943439872038947144405623829795962658205461770396932666939193106549434084037678977753245060607972773177532242599112873792615597071856430667673777966395995367989254082313374845039070966886589286827037364388163848059452776201781835846379939228840491078685924306448747416559001987305782125943720117796418371602201659481306361577030995885079776090515142428893104045427649681592018737462143396879637884949192416162072529391013664559602975268045992328543379830911930574940547483619300463861609996923853181907376717070079283420589248982378842595935497260594765475244335159788257502045866387160528756752414757465577048258957544775782004602828856943824641627897688519757953878759684559048686752512451775336352348427542541651644173857647645420126018579098875537400496296161605125448108393637128353986127085690509135388649861379771020809874322301304595059086398729639284384371822398932892751389165607957789781957021263855888175624556939371031637893830639748967799784044282729634135533964610422747266590108455207559107864229977930201505929899883986952237081929726534045720244786986468571631381971603634349846578581046810476488112619590426292919896554570409855473610017205047004134404878023780221850155281994974420753508537317696621809967746985467268324952287480503521998245830693802069118936352487953532613427363597987759830280890789512743717443763208790463657225442695153993520120908249531859330471373788003563348947455608299596290832611845870702810083556606307230461982834680705440508199062709841489780616663629404230898727001166782439349781701653222546884518187982458714803897004210794473924948221627479309947886185625720103133932329899315669514361704538018354416142677763206895265047234096960149856053405495110033926485652875173008595656739398030768249294208559707500795507900242714716674237183344709253257882185101338550085831907990857377505944524649255805526337718735830265213459636390614226205166482648750770363460590914358614921227430306349151403835897064580688535863035433992290116065345282496319805691377869875725025945029809093662465796632896328489049016450932016416914776210833236340560162963916690099408933630631714182296365277749270730171190823072354657696029
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 5,244-digit prime (331 intermediate primes).

Certified number5,244-digit prime
Certificatedownload
Certificate chainshow step 94 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008814509373 --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":1100000008814509373},"decimal":true,"detail":2}}'