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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 #1100000009055017092 2,165 digits created 2026-08-08

Value

19225772311107932319460158471038248742602841687757326650594026947557693247250036807711605446972212547077903525752579332793344269527665187591708808667938100863838851367953984089797154911710544532707577486165719905507145272576108133313825137267541684606754740908390995866777775442602991382283614323735107984725774383623174955376515440377508873958396234538372884783356883587891894921529797733218425354857862995633572459044297552117151920399676148427933195608933772222316831252525460891548123169279115263842288121291547166086341553758014470916526188119078529752192093960705917854066514924883179191329556492903122565796726552417646620138079140284788803371229809564839633421374003353841417804946860535129849651259757874550607090341740786640332228504676110217037253511564692523750147462821353285882776316124412586514086897239167626349643087356575562902911909987162054710477553308812402985976475216603461279452260090156596038744026767341830954886401631899158115904779907060524204328110507427617356481879197804977922349136581835359386460383201613723466437676013983279071709284522180633020847666074566345605340104553621679650374411873583059630598239186719679427383956753698511319509103009140903192356394073207311671120808889668423165604213982131694384168244760726772420226033939305770044489225502467160726353129183958886576367466617045398613167952212544414305690119890141415614738842495977535988832600679726433668541061813679640145096987999687659714824424603473608737908954956462260205758584590437323388468968469141921292244285664941579952592099205702442267599385963282634602366497382722926089921294480085625194388453094336358159043555034698893293139328986056637364168405413365550445843853620105763024096242705294594877670577359529280885246794066696562167095944183050357757208009188882262365978884352224940438201332506352777579347597033251932491766910277797455803315418984777629470448316526279970667122882917088135563115936090273648049568889393495872280094271379532167606079005781377328496108862317561927696268784690172509676839728207280064740356695192812138882161263770520719950358292155563497325488405543190712241311526879284897518345432677305359006914459933597717365873287
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,223-digit prime (167 intermediate primes).

Certified number2,223-digit prime
Certificatedownload
Certificate chainshow step 6 of 167

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055017092 --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":1100000009055017092},"decimal":true,"detail":2}}'