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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 #1100000009030655768 1,905 digits created 2026-08-01

Value

157619351006408094017487740663992450497325447877884986337685562061165313141629898144876582723650564803616068317777939929852873560820379546887757475948477666901264999300851457976519453423876295773990368859027050222554826541265793212144891670956687288599068742808885866549425770184246608218837297368074248193169563988442768301118058608480931513696782179527339060561022859757380105451516258542625269063675947752869584741344825348689825769991383234247845933997137885166714359938685023226531933366109184947714461578406883876286170294310739290639308038257960772697134910967976735700721161375301963910863132503996001565976231978186918506159224317761516361664605123751051044525071274252849438041061526652057311011360040385026627491611366572639578144149608980177839669802943798463579144489242611011618831023799307341351525389444635666079980329314693006839451994608805888059553843886577612928351869360770943206680532840927437108283887767158370611906065000443240549320345553395641186375570111747194463351468317425585737353116152070038832169739419035072856307888952773723116463672226738889647412704033175701510220654453743349684847304752460764757823735479946356435151423987182699279220266319426421288943013736578273905142920561462670571692438103280065756060581681375071808274472322634471419612636034746442832947369843003903257978742312185564722974760878878179342171207565609218328693825989056407348940944484929441339171644497972652292304948547215139964863368529822196227612895726071752313209865769057060346518542379038670202099773453322399099737142748766205851071753006408786397902647256349461222259517393290776619789235080324859619787926354845540493227839869090506534915587636056758096377018936952862267149741814830525861387514253852741619156578819115722814127747784345848501707021661282259568168949429024897476300386507512322667570613198571996398441949291587981082971479226352966258379902197197342379301526883631621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 2,776-digit prime (208 intermediate primes).

Certified number2,776-digit prime
Certificatedownload
Certificate chainshow step 70 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009030655768 --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":1100000009030655768},"decimal":true,"detail":2}}'