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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 #1100000009036772072 2,150 digits created 2026-08-02

Value

41681715237324258466408914032068333145790340647320986199421571974550485280455889394650439516002690841943480813067486820082118318247220861066783453607467765376286249292492671514799095121520180051469103973102122603766002473771434764790739811402941328974882392668298986519776521035344233368534013286587136771061442021838918688819634632777496592223903613080157781622088695785803019221331587231385054215903839557917532370977195148010474284258433780492622917990502539950385202946681743219955877292156376803332653073858503743903372983675616019140457460517143410018220294043968859444912397850336078048555508484805302896116370981625610131393585373049279740009314153091291354155449120828494402094814854551990852246172121647531125397466232863895870594306834970812957608788981963962998336554245465713494631068596987910985594801978752352551602286299831198486823251007622829344599925868019518642452810977958687471562209968628558888249256493068005497077228767168839586791878006271939281222679696955370306637623230369190751750706472322689102379270634896723749422751257730393168150894314658572760798903276168717335096417045793871621080389726920307760763143482265435168788823743549387278476299089813494157720475749236986743761521683143966897977771737253575985418725809633438091206416993493565844712188588822179499148128575766739916463710698216055416416561813159746463431647940979452142483607520661617609967750574507450483259449828325525804739277345513953748458213541529960642215879739206956194399096964750859033237893529702192353698853364010277969351313479052026410879380244381289077428064236263612154875475234944009333449581766263143035875194971482329672899727512460686417985430634026876378089672422194465342186977373955594099236754771327616086109657899766100383907744634973819757364570204366083368410512665248939888979487628036219967615222112847593652327945196566298173537324844773961775162959864215690439234249137775417220009343006861310584630339752551049649211370566130118904322087523185254954335013299498755343402385338037089607728294979170311839953815802715468840555236989111328939393980116160779566404958653697421167331707925940577230701372371287823651893503389
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 48 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036772072 --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":1100000009036772072},"decimal":true,"detail":2}}'