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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 #1100000004849399019 2,765 digits created 2023-10-24

Value

82607064215031760081468235008002224486508088923368566601310639596316274619119036088303698948757355604759840833782686972438398629576955503028648493531399360480373186345241118322381550626158220244612601642569593340404213613874041777138859538642288254387539178466619543823342137565432447702979713951249038010497904990083347100462456574667732836790013898933736851672073918462856098878294866562312970253264932060233853277006917271599172423865821958612328019581206996693358793192027481302371717363230794042699579391755706313848161496122745452045975365499718910611007242591209971427708288720648613409764362378332543004898781011918931174920506076045741563008375650629529613786868978172960311273939545697861097228061627146240872561832441923798030552399768091097386726416996398909773239676619959477807594871140626333251446427551564855706870382220679567482713614951882906338227014998587886991613784494443137870775166760910609107799259525057337194752553571154341029876632205107981430035757828717646416562203182776403718779288775716209272053054400836137732444190996959092559029892944945659981614557697369462951591191829259315075902734208589834143460800858997538207903904633636309065577394085807687520487535264409831315366277800506249305639777110633447702569160590559410767854714118588060739359723408250841899734715887507402002324965689027967800668411350966578216074077027843464974507266732563685453082083781877437094506971978070050040901191816025002831734918835781901286470445238076074867651910347733577986597968995960991848885275860220153025613358718732287777094777703732315201509914657118547590712181840352278762582082239078036427174279679670513707492400332040737878646719533897818354193523542212113990713117635969388179312058301593201251294425919424690524645265367876403428663209051610997655048700846272797576580834566065315034495815850722410747558632209807635814114755206069624208298929918916359935028624708998011814496155945911289249985008233416313311206994502101313047863221625070195383094826446916555420399388857647764292048774658455204632046817489448882849689169288112498726205030230539788836897664678548132936030554455107202880175045072861171860544307178428784154198831705323497121482648189656212364285043519372870005520332920499514716212796431576008652103097127435612010501944131418171282010443688296171178302904752831172878442947757626860833182039075736448113111859540065945452457393246225371082413690094654571326286308250494491011976005355821416787284929845185948693549805876241647474406857796613972850762789364701412136132790402137845701988017770878394636579888813930524890041120647673151191510980133844426482532284885289872281922397945695425291720398038539412118351822350861963287546300763950812225517241902521562306190231133758802070639021572347584936578752134369
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 3,251-digit prime (396 intermediate primes).

Certified number3,251-digit prime
Certificatedownload
Certificate chainshow step 59 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004849399019 --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":1100000004849399019},"decimal":true,"detail":2}}'