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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 #1100000009033139190 2,009 digits created 2026-08-01

Value

13878464080635015601344882477602029722617457727238385789101630627512769973519047265070810237789413207588936452324581277137357985984479083087632075285412331760860531813930706545108310794201880435302347869200354738571768400008990948368350168826328810390497429227398635500228266439953191839171086547849347061627963139289453992040032221715810902044607992239099383419416120587361174793086730467448807023125376714038066907619492103958904932492499874001753309657254098992382969314105892053346808983176164585988403081877690963541103472695207913426481528094159285677232424491650032852782777719789613618634509903520727202013399009551974602603887308724141604601563399363644279702501237273005479328951537362121396183237478086201271613660259304115115126194744640985594894284251456677957159470804450982177775713907682073424814541293299356860699566480767952476306230785115983862167936951526731832210122539832927152686848905972918743125405644823202995986020170352106413460726335949728837774902952024594956755729703758182001611616661308138775686932104512204392913170941942692535943990082480280938163470866945264010584104573362264822385019322189520686800701645418002331872589507039485198194938737702278270388453994606289070099336891272201172349109788833279802932228592660485181123653152733550623873279770744262873859019738615302349235042337597550784224888491803004980354248933781230336414773282659103187000152809442065256078348906964760521797026404611352972371086873107278492629929021190424731188214463973307483316154279869988477074015028581911086446678224137865511773592995067631242642459102749371124229271270935462423418223575350951985541672878567419395283482128072664265740951544105535736982984755165244651705522732821232640570137177409759827099757593190214606191793734249264395480570487711206801783460504068350234700909328774392163277153320041673094924685623811952766705328156296360288165799380165454600501980455784848464032479935489747853345082988267380790191848293586752654897513860620368036411052203923693890427006158833
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 58 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139190 --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":1100000009033139190},"decimal":true,"detail":2}}'