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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 #1100000009061156913 2,182 digits created 2026-08-09

Value

7862183869766722715008660227438128710619953353066951240213202686851303653179565968576681970919932306207188846914217298840642101988551444594411496249003452744226443276209291336768495879591252175269929996470947172874218604086102590386119554430784749125454641220209459077155097039106124082754625297230336951610482084195383236189605366015297031675946691489373334705932634606232698168096177854151593096950498811958624007709427718790872479173152458127656510477301914141113279844314104990469332020108057441591492890570565930448967845389170561722832206429746093551398377073737871936301298704302994982246639695974146289078495795971805694397945427296447240935752030516496299975982964915557025351456253764548402826522168985114649417161453977911383179082928111707818884124104679170181079257459033196245656977468234076600366152444180419259155446555833602802670096848222209413695070011291033938971662920844063793400781844512130172418015779129376178464286010313333890024284962975712007987330105777961946559780082763531590792924020587489471026272184820266443870875915182187823047072286313528252981322138585684377776125742478506327847433592891636494015546986164924149261313595938269171897330403563137220433609221868576720619841697404451222156932454263957903239292810634551826470613055127555905815117649526656431885308848687508373728126884096823488472608903004748874339246822292684960941160324914291341937218654666592086874974308833616810491811478424211390549517381249322947909502810044796611392463229127391822178258833977177363154958909553891227874654320032724690349334418331584517744213080705657036929410513504297825617408529798334953270964410001012671832870952060361375467459888920264540919673427825456614253621190499204522592157308233874501565964945519787582450547083089956518472624510439247394529776165238899402268751537652618525611246547187356411048259898753749721586722616881792094953218787486224583006566032250416016218424727584612183835823505017534281463195166986274484178475756801189827037862265392240058827146409377824331743870026764347889187521569919236820035070558309399809118969173183613657218719255508627100145559869121989559811813142082546394083057891570415476297584148089276138898977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,371-digit prime (183 intermediate primes).

Certified number2,371-digit prime
Certificatedownload
Certificate chainshow step 18 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061156913 --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":1100000009061156913},"decimal":true,"detail":2}}'