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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 #1100000009067906434 2,721 digits created 2026-08-10

Value

222893013700774854768669415287421080733568774977926461159641980367291697281897973450165499813977761815973994979883808347760981069159441139388178364482141520836913179784895884836962562144475477768161314553977203146960264519114330162812978637016922256270922517548602825368184374015672945971168490216023850043679320403668870562189515564493876777672635314031877759009091572177293078319254714648331161548590420781071753568587368034339922222236292533203127616950298293764132002819970278717862592381892875735334143514622810189488144158131375656177510391764822002785078419989269719549053161195635178811175502354726274483850663299514473002933069596746194882058482522194090428647141669591166888955500238616844840584418437775528771669688958171838413350820917295522846653150757422345445139294866334049757072535413281784705304974724874304744731157302841640851242700709263377057679702314704928423337968398020757953137755093289591737562900395001234004570684168078997107211590930284440148122451381209950172910557455009412878712669482829514887662897352522213128687814642623100798828821310180806517482212329644656706012101311552398104138237537699924422896631266992818057149302115642574776950027795310789933981510303298782227225558963021735840545238185685968877956180588933562962612866251320481375033872375684797409728670505432559440595745654845184225611603414137208812276919087852414500566867862560714173636304301085409149951512134772198853968328759794174918887650756761296301628368438724999406207641306016593385285949812207334439719876151043312174817395339175479130006666085335248292175298005981019832020963546723951088027857250556631901238999625114927283176592333385237606708357522261718223294429208992145720053866206699447290886448327345038498618184198051826654616836678981838810631592512032293156309167599773900397112895743980252170414949880359652156568075690228076611270715081061324239343663954561336446950428188168090645812386498636685202601327885024971728152866439174676636300078355855297110499218064647742600653866179582226445708642189771476039158874567668511724789696990624961805755531687084246729977953197151729292597118913816552528731693298856818803798352923757257612655537468175904327646198534836531954901550018152789990056750456833333001933913670200947473466069627556861731553661262412412663254443681159379263050367251686236909980521877521531608346565206965105585487248582985455322482779290171705681262398418663360519996328636451627737055798018045330996410651644695655866841771612157208291095374431737271605945919781871933711860278680539278701036753896729822004820310856676884017603627040283077977514043341777904553298828386741984647052776025883822172707551054935786755024596059520702287543947246477758258138928850899548578239
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,927-digit prime (222 intermediate primes).

Certified number2,927-digit prime
Certificatedownload
Certificate chainshow step 15 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067906434 --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":1100000009067906434},"decimal":true,"detail":2}}'