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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 #1100000009054833431 1,655 digits created 2026-08-08

Value

10807865711040548643806334115051688229889662297427515771437198395432989262113481150279574718717063191690491795811110184033195288813724400768860166426865836641352615234423718309047708100719203308204479936740869929490675938056899139323250788676866227750254801311792076268371219032047649276883774083602382582587289361975562793089665949443461065169745773316491573997756703471475622355024278349007529265382458044043618653822149581627745442070802947352092524603422143531607007991424714176018030949565475642265634784168248473916053514827900385066627920178734348108806389311651559881401460814381620643363834382901298514285732368455345351701859104278743904329479178904720634934097405142483934619891465113210423022855214785012555804462976576575787926997997742169940174586417442395747520015005994847280161464089683945893935965599381878711635091665066201688116909331636644068954625919344365569252232583740104915322923035835818673124253183398193512283847977581880741657031931439858585292693077789422876301032293474257660215345382073191535061217744452556840325727098627214884751138938917307893884960713820082140089693062467619991659059148321809759125020751378779964791653473112710733999325033253218374557079085778096474415424118834509368263689189892706138174609378303851999165333654846043719448908773498942278180261669395942308680755107291805271860856020275502787122589016814212089185907679335049122244123110529105365637248507957805470427364861994291300770182227784778952407934533132027318185711714158610330364448855815471440261147547584859900964922077430906519326509847287733428479001338205221413501640321283834548057685221673081755798014745215298839549897618409553089
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,317-digit prime (181 intermediate primes).

Certified number2,317-digit prime
Certificatedownload
Certificate chainshow step 53 of 181

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054833431 --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":1100000009054833431},"decimal":true,"detail":2}}'