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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 #1100000008792305697 4,610 digits created 2026-05-06

Value

21455807244846766109237250512236364041946747471223776273216674594561643473721229163458694961384891784789938812766299864523161594825309080357544165131912650659867153601968734001031683149652330478048769284000368584072933636807472558187773522946461032836596176810127750174691690765505456998854893672325835151205431238200280392767669242597430805998377412541602573197699733243738331333705071582324211988633746906859444228294975428186022821603635238315692410951561675432892040946502571288199472686574142282465986029748731333853589168160079777456020188742840965075961302503040973833179007381344138341255877426270040913588228924508724056236687431835333416705636855579218610831186358653552150893458678400929350627449978278724611575013345715703154310408870848263783970310109121869619631449132542088650190513314551598646574543649863394501410537147602900977437346151946976552105540458615559354863953012397786163874178322249444818532463875957899056116865379711281971073800246438397890666447267628275761661780550887429512206558270224226963622485118169059832762072652129740841152922766508076132396855129942949731781603014147769308725385101964157433863146679048797501405042873806759123689895330341458541845176862789922890971782348137182352529810170159450849490296229584887861130769891337021705347277043143126173861053178482216515123253418182346091329533274450043945236347337772623662914992386781439181150522275973134696341784924240024970782764186191012246312897418447778039659267422854717278364339836014945479140947736592484055962773317268751250538054404958462567710130470100273767716409758930414794876757292151465592521116979718926823497531911560585079814824878733368651334757489622224388167799465091490442913983504072528587308083714192123809820875215844313431247804093955933242244700923652764792675297471393035864980059961726753889017244445666389161470509671698097004204373897190149089755408863690697780105409942232875668624041645038968264474325652673551103639358936654315571689587031304526323316399053126147890720994512918317431953067846521448084798260662067858826331408115041217141803089660319373264227619853891140499941779574639854065261476279960150778264053939008146309991142056489653860022224546556028677048005780263635053890407790096054845133052121719246424240476949589234332311943700926543655711888580496762837182921071094003226934774032476953571225144713276857867087623251516049563864493399063605819820724355508534610095942056020235053789879220372674836296211258288918043527397900214453948482215678464153659332200272989368119619791870523187963088926228209266667400987224700529477203487616905056022046278806247371453091610983137085879726122573651905748969068762112745999168219703867730885151872938483167951666278097100885401780683643125343435968065799720420838500544509330684276174629452053719913304897986759069024596753703550161208822196558945052197751809730341518560453472917006861025660663207292124888284195853693550121273188172198249181821471166760578494812664550927771289555148528430945222624610285467635465143280812743750198240218623885793313961507121361640830848629544387193602277311674952405472210637970926850463749451381570941896968099635964836388536719213564037160038274800631317974038948309378426012526260652698824358394998150797446795786844727318753183028035910053344103175184864792765086586773494830632287150833774740514885446867863473253945907071512177165329705705697116114186212068957778993549276251796837007381563782319607573627901684980552877629616864790827215501318749343902965976780432200034469446723946016464750407309461576865440665866883054662046435207081526555201032493762509707960347273724289628187725791948173533884190788257384249095339965124437865304527235133520262714699797749971903985515669140269552365799123391579644789424570962357125971561713588118430330504503938285308830501039274712376301012219197416371375208540706667054093920489685127497609122054641738332306542469752637440002934362879329058489583720508722445007797369379989308256728034181835380667988771102132730251824157293295921347684334859046552038992177228021905884558796693503740942656708250439038376301018542597664389074627867026244914881805959925118159733158223163440337235960687263886640771397059514003014519247457740518602951426615459932813879402267462748456012750009955120504566192352076389582434865915577785227874537025570240356066124181894587567255169203062109798572617707333938958072097879854591268044722807720543168245984173529183049916479040168440976391146446945071013632238384041151582677682572660299640840754062804159432119086693124854688140413230852375420596317399046915471236900673037410465175485089388546378200151
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 5,326-digit prime (337 intermediate primes).

Certified number5,326-digit prime
Certificatedownload
Certificate chainshow step 49 of 337

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008792305697 --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":1100000008792305697},"decimal":true,"detail":2}}'