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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 #1100000004870656649 1,782 digits created 2023-10-25

Value

152728717089857474302011973262229760423373907751388806382724793481956453075884796972693508490129574843372138822835411361640289452445732141562097080982246784412651676516100292027158627098517229500466246875805454885329841659279894720202897486225394386684277157251469534187617433542616682363365557716287634196342388677222509713059595403180397350741430375863880178831556679690893068556095072407621671920153740201321225701590767022725491923992489952982895507222835876390617762191644430441489988974691759136576016869410965920332304151932390300344871103077297022839970208574581571608258693264136157727617832438755818344413096726143742682244466871263995223420575570871794119816374041730680856941094658758216293893319061148999023035115969578782449073010748691904402504072010019755232208335721972839015140010610628469826371980630941568611896655912815902609297424852535012416743919801716838856313792778785937110055104150680467470693772017967435215191749891699347605578268531835007460177012666353707222089131954065079303252361759514143514555555466003858351168326406928560910058403389929579183093941734960026553728692322010203647629313404408143032484229183531852096268173125692732164599228218903885678573282911964359784552271020798246882692643955790368375517664251403435453117723253340197975880469532686648211348322283030760270248768313956881034505653081699902125039219405050582750783362910679903994303218955920339324584283809439098544922813566094965797861992992888807133147559763154425994878431545036001490326875904398392615616595543981142354175120172046469571209720216598561541347326319250641533576004513229603324064763397011619082945687738304344552392398605754898906298898336390468003781811970252623746973001655388904111598019549274396356392840541081401331722110307121633665646603127697559131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 85 of the certificate chain of a 2,631-digit prime (295 intermediate primes).

Certified number2,631-digit prime
Certificatedownload
Certificate chainshow step 85 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870656649 --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":1100000004870656649},"decimal":true,"detail":2}}'