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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 #1100000009126643678 3,093 digits created 2026-09-01

Value

853994188681564514307390194263772365574818026768284646525314023551854063501752465916337574675337938589786251250231340016396112057338537084810242883569111664954931161101771094541600362923446215203690505064453241812998012020136774589963764585315520874238316656327488433395982379587655998166325229411897241919665255610779058954916700728613699997643062653580361197690691802464914578184509035968339646415763292850235075536974828469622037652196331785268676626418213373690254762887455342057167601745129378319279035530600550163656693017918582577985191488354727643367062286881921407815479723883775974600276469541225417850212478168850152597259522208758569731408819139003870706338181860733211102211205111617867477585346781376656916837327343676474952992731881635794106719972747266437923780994279823312779239706273624233898203499336258677997219627795914314270905206016969896713952536859594833779765903885919349410947608888762105006485353974772637240760636507296274347918062508207208864510249684458274313909475270839006744285853330650493136942072861199070626266448461097558706115497366530461282300722131031885383840870866447164090950071964172221222460136132258081985564086498117323340774775476203359857269627778068383865645961032519380432929011473062568164577393702040088312261870786536055652449655907626616271004202230054841352730786483638582840387207492862748609557578990916708827865472673586578475654563748294570358530716261872465118665178205621147361005969060202548986865966111893183793334762238156375611318514830347030940708723506917103860598167207198555285128068807601192708105472382544144123449698772220198515298255528792817496934666708761214427814553560672704778575748341954319417474929958749181535879337428411839627831934597605111785413727360838949336462093015767095981646304722299841423435122367475109749581762168254027222996952919669360375741856841756042311087287859681722612838112506502606662232314914743988404467271450647717614235974941221772487022722377112459416206642393837517208636108492347304229314256383480727117083647975050623978365533303555233679043922691060553574589137396717144871174616415556601899614092363879264039142566100026167535647492189999591342415042984793658767376332058562723399235625886106896887503034419537807075696350104000055942743152632158542421371759034990003800380153920235908428549574743488285889753470586296408321172405098931975324665104112562961869655533033954242112523974826992933394720285523442507071424677520564159649709566347031991069576687147044647887821110632946581867161592464868749061128037051196547596883192404878807964690032372941503574821626485663474795306230576185294131746033781441022842766834529396345364969332858582171337287776057878100077823271642055023352083066839701125644689277965541900128252308008572763495845439626660924578700160895668585953825347576281568265643975213250316749745698120417342821165116640649106152612228535336429696806964002215812687340148855442275257267108323920177271703558686306192046547952531544051058048239691367446250825163435679620161686040119341313413329853123608922630170662802643420231049162339183876010654808964602387
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 3,110-digit prime (313 intermediate primes).

Certified number3,110-digit prime
Certificatedownload
Certificate chainshow step 3 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126643678 --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":1100000009126643678},"decimal":true,"detail":2}}'