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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 #1100000009054741861 2,099 digits created 2026-08-08

Value

22451265229775180772988972656344222400180638706240568859381139661717553105212483386338141607698271897125786695540531467204355250230774177122335309753320361115618131460910207699216930926073653901736188182177926229657174394087439268071106805667926094625316752172676973740242432685345963385405033331162297534873701711425921541966369180642554296362388270006391115550768771067452705480564804416324529694315051689068205063956430106397540316238523139471765721235053370114530705063569392218978367243476438489446541670709425666794612898852334669412678152598332129931751141509659335389555229423476302967755518948839534036113998764180418303741722244752551304634723582879721961517317400023884109131409646575340376619302520838080528538683715922762001897658236398496386091789287656002279411903217132477582618230441278920562377184862699542033858209794732074416372455407093209463678790360588764853024739895749272344243407012052961334702438931371780097893816002335754686890799715460871265945737782417008011602042138192733475484990776473270697297914331137031577567647442084486724434826952136175014712852065870968363204343924134151467561108101072974454877125670778013892019161689803989095899849112625832111568535727196790162745127104610855472926729788286143385376873223071492330728447587007659337944428066918370008126841274506165224546240205942171234429832394665728518231997119596036813999610926555719092030177474299274105126393558382823409638135492664887221538620924296133326915271531254085991072848948026108428490985505728675015613018767636383678322537962550744668762085780352877138078484103502241050580014830766080996270666334629403754083517351368632471897011629823909233679500856134907553645837143135279788052296801184743161717167725618203683657331987771124938767071668947006378946062797346413825684319639943360537856546757724541953183784584831502342809067475450103427965439033774409357826431099872423510395355595129814258464367538564308157540053405754672322977856469679891887369881075372832559042857410708044171339713041305468334271141312536250365654297934048862927127954120919434178712403377595059080861847660107
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,316-digit prime (179 intermediate primes).

Certified number2,316-digit prime
Certificatedownload
Certificate chainshow step 19 of 179

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054741861 --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":1100000009054741861},"decimal":true,"detail":2}}'