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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 #1100000009132756084 1,993 digits created 2026-09-03

Value

2263487954404919506557578953662007955581423679079344890959054861551615195471669592243311213045173850136822886228803681573333812695864285042715558521637516503650863133550907825440250006757159104109258910847722064220635161766856849478321301393524678625133724951679078950979372574754474222582208505375688748403796836222838612533316820054395030766205179713667282676933434739124521216648805109683242159076730796981407560552759937020534480766130551202045528393624316105989076812101317144202355833894006146866544500813023724196898107607338640897412413047384824023939446953420939082871063836833253695942296579453106164116334778279965756955369009319931699360549620919220710124218614350817717790388860725063620107847694049283415786823483067211062623862291628308793368395410180930615137166224337678525772728413519390235369191311008654380655872851041387497675550732341491270525089936621393644869965261522323392468883645832735958615451403697893677224381779132364583530969031533075061240124633667449331296779210451336839436699410456289731424865955427291493021084644095041395614044628866586265531257904710788148561480194745238909647901759436182782070653731149994804654742072568119313659250926074522522713016825627294282549571887791447971997422887087806578463025007199088361825691819523540383174271511426505411110199515720115455416400726346314517797283634460788713134908693606228991234610299658509940056421792162925852446666391979419137580528575643147411230885395297539299094497710929353696863562662556890179344461890910594493125846828402396566596803691513781032317122439629064610661704351767373310532608558147833954045575972820294833911361847622308311348188580888137299681744344306446632105966260587915094353103489840513792087492712214883359022280456959708449143160023032593739357378963081012289716924404856118303720455895427481817881629460413314218790989457619124229677141370863133170472073404185702230483011843032646646624136136287171097606919269771629274674494793635256111057936770380147746429990931430801
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 106 of the certificate chain of a 3,186-digit prime (307 intermediate primes).

Certified number3,186-digit prime
Certificatedownload
Certificate chainshow step 106 of 307

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009132756084 --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":1100000009132756084},"decimal":true,"detail":2}}'