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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 #1100000009080658801 1,683 digits created 2026-08-13

Value

436315095781591187936124053664685765137629881377196205466525374831137851104806910703167430704891835889724748678073650309970284825306842291983176839659197315728998231671280459453189297444559819709756422931431116956088521887726501834128594447973889211220034587933157604517989379994871512764177786188748517141041298340421283202303762768873210735426125764610739857904989076278825649313549566429936993634084464331083413973545671302216488478999275576853652672657760259278500771924588379997897671275681012664450911957126915594721749646892627977217304090181251456855007517761712634919538769200029751582407260398620456056841306296842110534380399043610680082524423532905085229347990794314879645804840671419519103850816313045619494692486523621162082436861905522727220675773043649698667665380003257648095005499841260196529555691080526910020577154955481310190524985333321979403697140966733948101709242334776551654539844766494639478233469543411352542319419390088652992036190028689665409502315183644774416548023460021465297084700485996212864832242394843043239364712238971988086110971316421015117992914267775304526726097833316650154675465975199132984791066488496989064375824662390469900014493952595514088586510866643380516668508083544331471412571017975333542867560383172681181852367476854925810413280848634820442468052340435894300294357817077642295041392237837441556901838050875984044827604117407073578419654711969528079851586346340550765885531351040027470136907080139497746670521091898114860222349143142979268860640769732065319860821074265930064210245151142647840652463036652345939550424813755496559737147766593671622270406910577648192708027604184620885775515661404750745619637377156158812478309957
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 1,926-digit prime (158 intermediate primes).

Certified number1,926-digit prime
Certificatedownload
Certificate chainshow step 21 of 158

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080658801 --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":1100000009080658801},"decimal":true,"detail":2}}'