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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 #1100000004888399532 2,055 digits created 2023-10-25

Value

820031520264420680528596422431333975554325042969266929068477354756565404729520434934645186471864642664363482472352255440660339970614296635443080358703053282410553399678166505335736075663942114440569230128262973166751472523421826113879758239827988806342688509225683440272785935157259480244113847500116987574531590485599083037400965489512604857338277011183868489333933556892276677245310464466978435441457185965969333518969356445728500210868177173613897278921368950496407949586942934331993066324422679905656369215623894952263985710875804677221587054494596688919058550278607561613418181455136292727428695664199504730572018544941874137406684508428670263749388247178936123305998463699585847601401175518879388948337826607491760481612980921635455902004885016152276252552826914031746719706530835890590516671460879072830393024691929716602250358953407920053242486643015804041397474434322920175629671532980978426155571242510835816643496233416245049180514738414083755472629659949018544218293922371544003934093685357271599748366063117156073856353147038186767031582365144880978699778811749017168929985606011098401601651265229365308710799583485665662758914863793841613479959424142364283977120186959723005651803159907159420293499037460852637547535324057203248661453588833771230889979758512184713667156252416278520724029899302593529395756757693252737774164146802287011989804662146036714401366098651002641736342815516891378858078529732658881609214619050430635894404512917275983718513627897943529231694003228334264403318523212530445453973642916033708472446389400784384441189723491821797409635365546670464773331076717137546964416914882407917978506007496891955862327657745784953986237328283755544260741206373143219761762024805570660376046882547540030061008982424503333118515335370397412834900742269580682960886693924597479940211526428688341042698089872963576290246880425011146969440274126667421651486272809961690484414650168845454702992988478169449230611920536902334506946829884131185733388592667343420067253563697208731744732005548867524826565309709691202920581650690862462133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,269-digit prime (297 intermediate primes).

Certified number2,269-digit prime
Certificatedownload
Certificate chainshow step 32 of 297

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888399532 --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":1100000004888399532},"decimal":true,"detail":2}}'