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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 #1100000009102093387 2,379 digits created 2026-08-22

Value

207928863817697755062452158142992654051374280693875154581945066796190531726875123827291385971782603082463544074216525853034487316972347885894839938759957534006923951797110031393968687656027443384840315226835147437021117487040877662619477768689774441015636148343097383364845080280800491918599123238207083285398569016793698312623307155426013723219323606514491702345934212385419448394032838017664260700071988302323918974551613531761444803537469867018543893122121793016860694664169052100899023122557701450270649245726338664513712360741588620884287839340007858204833749728903730043716166193401574794757638055086626415992448072940891162426986145884555837594131526781091163801785858935219318456137078609061922576231497115904968651521647373720685526481594932333143678152510577339447155927992747234608092799502497166882637140818444136433617042489637295243910001942181592634163975072460459577779304584641333470981489560605673994902264077264079999922311324685246318210831678050871278836006856809085676379191110908766985873717422413123160520330246876602490362957957500059005251167673008815818998970854997753384976062766726100667905634315339267622504533639999123297136582011110632665374625812044213211355913467525615028729106791401361720946694190990098421763315351276720859429598247105015746108507036503682162842503655005085956303046054595050894757809439993782043909444101061781095755371730817998440866639044496321252528862965384952274326430327473216814662582541098546752958544529127524067023894711777984879682804967548534956434231518256136983127003223473341742675698570140711981850146395185992552291693989430619655473737935594054048055299385435009072672733855081405917062517988975445730466027837212429738436571781407532702611174776477800412467991170551632031821161340520968952819584776474100065610524231610881259610633462059995508648520573702680608099421414329826638077047228726716543139417476624259979056710469657607201931376982013334191795940846480608097684419219749113362309513830592326483594951374105662924140685594528320349259772660286933979724451639766915709030968179268367107907283049461498593857655068371751726688928562400946314141926592797777654338105338850913000476187518405439391148800454984560224262775952199444718255939892980941420540841446873166366908353452919281103511802236218601490080306129065771082993722733579091085007417183624570929921499266961477068483909577087903609561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,979-digit prime (214 intermediate primes).

Certified number2,979-digit prime
Certificatedownload
Certificate chainshow step 44 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102093387 --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":1100000009102093387},"decimal":true,"detail":2}}'