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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 #1100000009130191743 2,722 digits created 2026-09-02

Value

7909353469674508392833560267074077644066541572446747286931831836701309119195436490097604836975231257885116051667354451152067620074094309041038722613782216365830896006292154943524493853372131393743692967827443095063702305049654513890702512400665774120602882036729068940774244609250257979132026640430939542315852889946874177176812996085301115788166698097732460371606469634560375764715588120209621497909844893236302076348680616011350899084743116572895950989424461622706495076973627344868086560685166579229983839400186640914334978983663581532935782913398978363309026973142513943006403390262736426997021746213767082295218107309198349550658486450970550277288316455035645137689283140040325948300466798706145238371540639006470950153604206997981681294066844213782625887043061252980797751943472719610795763416183470468837777182846099290694008013557542773069638809423341545589934594638042757150463341307753330012147257699964993952374735710725989374944452760213641284808316502949427966488317991183867034965659310171191653391955575859133788044404706804341269852398658091338395620068639811186913432786060169216644678639963433414649693271561459505995502233698152356376904647607955505664819236348303921260819866950654405104073416493679264460415975131204512046669882926311964232228937672082208232755136793985584695659839860669888615382725730374101595748681525881108944684097266944746997025753434483251503129231392121624264596958689612383516944847293000007150012566223001715872339548416225515519254267096193452271508580552438952217322110988115107616893408440996808363538346914315094577432212313276680129021858768920806399350291230897581832658100073744887378452798500683655070273277206080494112915266421778663167490780128731731121036797025923040927873280689615421019047425205832943295993782206253371638360801815902332800226622936067293282014937184272279745525565838712131258177790543910169573492802954673161680531614880965349051902939519681912144837375997722007585913933329782028810170443451755035672462553861121144513400033073482533387535199640149644005807622370501107524046786628017168038554600306054770723462080154852813085193192651208824711796428845488888028643269790494193247324819184059921831870225295494315598697247551752791562326026146454402271589028910396431411939390376717456722285435587155788250178084953090762546693995367193981905554554631828640498109431669477585990178721752982275490459658400203446061632746063053570109938049612123816652827014549891582148880054627332013165514715191968026287183382543376095899920043773205663094795100973629697074260831525179155804500295941964451040182117476485960545815556775771645938275643676727796426058321292613103181734520552624368787890836103627209786301320831050949275973816942350983003439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 3,154-digit prime (314 intermediate primes).

Certified number3,154-digit prime
Certificatedownload
Certificate chainshow step 40 of 314

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130191743 --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":1100000009130191743},"decimal":true,"detail":2}}'