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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 #1100000009064223517 1,853 digits created 2026-08-09

Value

14158071525092484388469370682428326028053076158813780746514352494149889387367521620947403214326491093557807948888950121540221824429876393720133084522668542559895217120500241999328654243005292060148586306209522847485321049746961323157927129427079883694838905964189798405879027356105692691092101264096195060441804425056283551690161590051911401813390988626442085048706377217442206625068404847575134588237649779871610440251265553922226354985762463316684340207607320897704722031795786142565695330551450995982830890602183553205758733372058346573625785618356104359672302528003637918491384846156934288055087380284397038524651577554576247487903056334913394527396787441968033657355448863663686944530184203978928765346602842902415236298770583111918058475101712103793236740082518604493714138979900650531986579629706340164581279834638111766062424962076676571736859751219458796076463019346826154748170069778295172323009693855305408769107513185709352050592297329149224238914260155952517949495567892332917455454273030098669808084028233246013248383842228737937598500513091853965416249000698157530679792577830559826420495211630776539783353178229219649870104790176135289348385409939786490884800585092084645443889038071654190795627633877238057428264565628285402798334480854397164677642070880935515594962647379382857879812262781518416388174350735594145187657060738725272863594891525227477501450609922826020818918884080632367742424030864154137857210511484341979152763472728576615323363021270916330111053865819964907791168943565422648217379121032697577563629894567950329657170273724723777820127177834604034393865523679639841336134355341689696236874242308511576255147475647112029718396897111503087962286140211404059908766091911312886924236804479874558138885591585891799144296398512749520985009057309031204531280383317531854032642856009367153046239275377995208835968806565133453
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,290-digit prime (171 intermediate primes).

Certified number2,290-digit prime
Certificatedownload
Certificate chainshow step 32 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064223517 --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":1100000009064223517},"decimal":true,"detail":2}}'