factordbrpc · fdb
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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 #1100000009116966313 2,426 digits created 2026-08-28

Value

17121651162443133115755362863520271396679071842384580972661705209508622887441898202844273510912825611380939862747887133106536286554647226650794360750279422636035392629315216575782643608059693700405325606060119294651577452746400638140629299171729310702509188301493919083767626351408483407863323116653435725343740729656348429399316756168293672710882290319163127893701973156687947831031388576334711271507814031022438586142630113625108308658014293663488923894560321463169318870227919644627500908774151122553656581586191521741106876553989187335734950349833328988742341267856164564809248729179776647238490126615104915678567960938203867001046145043013680221602032307500461713159973710112374709261602427322024684597889958852469248127296354179741467667009125870206299496725613134455283715271745677571736442619340654322663964746433963834515863595540586327731640779088133175122107607841787375832960225442607106583496114295451822514928924764608233478357443519717683192890036715515162468142283662903880048388594831331200044075636957220522766681148987583665508106544694408266267283574798150227640731324478113674604134529257034253447097850220077406413822710885423744186633589338213008040708105177932378590552556568919872585267022018551861110476446458663500990313070247555427139744834231101905403446885817309536119219665918725996421204760460556521209725818420704476354086876390904239622574810721676826666459391053499628496618375116006211715233583410964961400244370454814061193345619575617140133254514227349448928234232041099207463056653861723522448893493560081436533606768356158984178996236241681790961069415936255031431539953970650604624533972917926233179711235775926768233132797707848819603739945522852430877650888852041258097833555885529721404343354558047504363791525777959737862978121683144495849913500072124210708010180276667646112557719306773684177277415611885913964279360457426157165607423987648824850645043823470185201630765193344158877934493996935187141107396172683340946321182819673559972578298541550321083395600504060470069162718899518554220536214432929290013257226285326749471343071000199213253689919864135473998503013454082163763584493181712743364908746761344416190646905353882370344811629879199601228042194710489339133531588659518963658821420645639215323635032631646874164638034319214857372965808204682406309818809443358988758099650096745703232978073835690787848717853561283921764462067084931065483716267431861071369020325680421
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,028-digit prime (226 intermediate primes).

Certified number3,028-digit prime
Certificatedownload
Certificate chainshow step 47 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009116966313 --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":1100000009116966313},"decimal":true,"detail":2}}'