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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 #1100000004849399332 2,642 digits created 2023-10-24

Value

21648009777478823078678460167393515037515852669701672851067340656485611522257891319865491079125117881219848763281220504774648986754721437608254751512048607910454681120209237087394910446298506575739638303948048111918133120916220796162458630336272127475474166281239476666596207623377676892770531870219150928366412012155392948215762804851762288621739994729500084523956394027669479831783384956060753600700462732140513698551260063180212799620641360073443030629187163893267005142990219762152270202909026421688932822433983053009426720535375868407609961807693284879119513464867914400185184298006771296195799300108169995612327848703561340253827069801714966306776374489277198538681046010357079538118412387289943441909835028020778833415463057832706345662164228096742952679869433476576116939464759589932441700879562846584226835081403201941589540952870672108371558261559625035246299055212786902578025801133870697972889822011538949459773342577666445543173673271519369719517848173605643057748584521212822045599091456119985407990154780684788837949468427703630504972162919195856694669275255905833780295472921914687161077632556885239510075103576998050942406710062860107912725146724652115619332173105008352538010082265808887344898437355714275183825836380746083522796796932652659133792327506899050839352198165570676207604697035254509419117859327801522480185706011123723935453780369953425636011834150882990047175614922830441723956767574912217052334339647774528217012852191829849790197255725219808386776675673387371544503030260321054784372030137838957207916587987856133202100063079170595677029255208695453182804586234472828056958660009886244999628164095101943830483709972028584208359496572180462092843279597930520326251289837373947659974211021948944181728218772257404289324635171252084561268761851713224196667011544622900520238132421627204601736899846177993265562867846359687802343463715014151926965304382699369626244894853376311958377102055009658330450606399469324186154245510507296032485578602572555321369588312789085189959139880006898665911529910832003949982853071729117032788269118896356026168768767206537939460151054894898052784307917545482994498399315534327112336189505612578296368831834648548665864412003964468595390999975150793810264519978470176368153611413756693518580810534909988850296763338952956945370932730421439108470778440113973734869162989665587331477975775400921018728442792750367638276518878080180572894346524204179411883938350113181366608703679832027524517169844747678261654061989554063293791777825868930710153618418851494644816491455526075374503855050602927627097654823374774792154753603116954681413558021772626353910499657330427575013768705071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 3,251-digit prime (396 intermediate primes).

Certified number3,251-digit prime
Certificatedownload
Certificate chainshow step 73 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004849399332 --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":1100000004849399332},"decimal":true,"detail":2}}'