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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 #1100000009078768110 1,882 digits created 2026-08-12

Value

5891659136644681084166564708210528692608688986901660189418564848640713205192094643037181438470305974569168657195960228927666722224910968700199292473727928663338637175156347382808332910837017019136838295704901472474016770387806539063081009572617937056830270170898676407285914495726094920851494680341705332075197533491561409129415242444645377333453551446217154233484944887964527687829790469792739051434014753435994632440303165633578255059470719711274069717828869731133305384568717983615240497504625216463167647886694639056435859535221802771467107400504363344333727592189974647993181256616651614287955149058841671176992267966795191373987288831785375847594059640560054282669534706987519718126172930978602266503065314692083973541503019893787669808908071795873998838977587787265997099769535859683662690076076839667699070032393709004586416535431237978226558287432957414629047531690007098842835288239363614010031601040584515003142548619045459008387167940955637552929467963989910939208335534873911569615262951336507961740131653513087940641729058956235174760496879918060068642214522247649609404546043964032295278207247002317237985246208374254749850699982101288388538292495954427181382593994719127424372072295093081647382001364174659042878869099564339716528141121232902819618278264446642975360729448618948728332718144398173169948830718745810533064240705248817930380246340298061286324413578937717301398660629165971181921385946413711843505338641174393911312917305583807492967756324253895657840359095347989643245140926147193067668666530031916645164230594783246021871208200373863968042190423473186171608868345320764851735428231993722339224253013791654034039717047964975068424175427309253878357251731085607733208573375288035539881125862768221109538544438533119581800444342620029368626879364525423063999071170261160658172075997822450730744388418992375483849228003331946713950851854091234751346192633
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,153-digit prime (152 intermediate primes).

Certified number2,153-digit prime
Certificatedownload
Certificate chainshow step 22 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078768110 --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":1100000009078768110},"decimal":true,"detail":2}}'