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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 #1100000004891139226 1,970 digits created 2023-10-25

Value

30301430539268203815550455231878519968730795875904531735680993866655723048198991334472416614457037730984323927647027646071901398020252931730711436916101302113054189560207074970423321453848961105097284911167767179999379001819460514168269769029917369456147424333369097864498270868978253167047313442428869489583458233635771695139107362690451631216478888052064107354801052007243602386516228016233726218731649266123933384535089092046262414232007010406357988086044622570012386419085803013020481386439599908846188699892918952422175892373638273451835519937885220236090912353321750263904425555379613793232998863147399663576282813365545355818757786949439666740899344029895894066768125052408327938039502134421789158464211986998942241433665737955977645060605368176949050869526954736125276208353878161622406020785370951276327355575775428454236546905878881033809465266744667494989818168122236408751233416037511086268365470541325526194516580928425690966407774111255809723317930617060478073916437086999338402924453216481024590401038650719348120308328296068707121589917314122181413072430262746890931779026694331721069475326665149725482355245744871013700062526432753880761464050302185992392538143129813933890507014040563246614007483134209948429599903651672987884348294513938692533645835801215455108357566280296630600613991687867091868089709274612980751287430995631277119392309303508735973408332116684409906179938095679168247145180144735390851560170165434952586297554829086275198029607468747721721347784254160475284937276755666902870734207267078808093831958022431580504393589421866259987917451364298732638766352237062365072509078029834377776041583516262281344005130681926239087312585374894677737871832155717299164195529421893921242424342606010094514863758280193995951059627487180685337717846311455595036806557595623447695611950870966680426182686516904379166456910971643973271334263417585528954527176627020536406734670499120902811459009555821399586956151100560959572285093848010021061168881
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,240-digit prime (172 intermediate primes).

Certified number2,240-digit prime
Certificatedownload
Certificate chainshow step 22 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891139226 --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":1100000004891139226},"decimal":true,"detail":2}}'