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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 #1100000009053481147 1,792 digits created 2026-08-07

Value

5945721904208748447440398558882654445198549571578187660694631482074292475529214108134375474748008072083471971753948958427847823468884548421224191373442820641425654641839476670396319016623580370318075884980642390603217116048190333601304009991328165568393587541265744640517343099948099048676590133730491409815993576038281953252479856318892071583501393642821480360427204643838618566747237374737185191933066631232210339740031495579166906918613637164211844360276620586903293192385216023778237569157446645728261960696411800373511993253562413403154420166281213224749443724118215158911118323934065384523545740018058539746032562713320912860699778686580142439756613054913457976363557105260454429601734997052858083682420793433816822345614863513523781820533269811682931524727709887115831789720379973412202445023904743969322071595680032539341206540210586000356960712716083679925164498661925288064457609172265131167936156161061501909532357960351014731907288522606917505531195927637133954716263004996154935916631570799918197570226531814596629174924069918718338897701849572776689325981829744923802041438703350157460705499219163227077593541737350632348121306121983601453702626131227252451161757947710050316364697464035483128771714468577740788508992714176514618563243176190154168699549783653329262890340673379468925721146184378755426060467915891235109654419995687511959065912645381601050312798805774964961799591030842489016354301400725756751206726910891747155689769540214614369787909214308035949662515102550666168106571511684719779377952429969010002913767532639141047755235165990964594087057954215198075605678410579805438953728939315324036616661822816825075117217080216498378926291332308461745180551835535883142852438867332944166433647116387085846765261669346774807997895421563100421657596197304518365494634537
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,301-digit prime (179 intermediate primes).

Certified number2,301-digit prime
Certificatedownload
Certificate chainshow step 42 of 179

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053481147 --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":1100000009053481147},"decimal":true,"detail":2}}'