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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 #1100000006032721600 2,150 digits created 2024-03-03

Value

22361392461960013300794150079432932470508179665494607071400624505373964480959184559569049940442306112388985908332312209324638564167908557292111967757670004795975157539874892566908286884414300582092629579431511045032081446808048252647835139519530362936240139112280598638885297400328454139190860119948105017450290822595673159428335703221551110901138147770986256522816956976493865677872049979076075187177704552354436165697495233517378932100807030505458631040025262136341033240941773711025439423988560493632542527292342173872783005245988613502246161890167201932964146111094096633949346289187049508576478579794766111515899052825039879982595397183793507197966730994056661511859286056473783840862254339383652241126332320717014836838346496150868146217253330543689841051172850017172297449215258170872674830603596507395900874870457492574743598471793797420074731595432457689779323835523011243740133527344158614466841251657684521258873157852880301368925550721054086419617271477022907446420163987585916034762616487172531254468965764462527179623153864497593021133748098558728700077228110634581114193311005006425914496832902891157641595280148858902482920499025301228988156126438377563781672350406928264525171807470347332248378921756090376503926023859796396519562210385783545791979347186817404178106095689171333579508079996454866464892675697914715452436436822197887558991269494086625120370762852016243832388615093657132750652521633287017172661142356642714025098701166240014550548012688575189055190675869208502901476694051838588623586060946207349439962439768559332350457335752188001090097191439791373107986133867085665422683306962146657130906180176333921474950233927449495105510091670485855577580352266437146694523599628907811995768906171669967758891074262611362335710245083371040281338869078639806615503018376916417279103727464626207196646509674631642288699947632668139787620580903477719022163569089302007737071456685813462608671577026693151133114054581568628426666871318904952410227675389165683141939675924410182391477060527137814374063422789896939091980066736458143541996623978036330594444854234819855298557908613097097298511336472343418419286349785500594999377597
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,048-digit prime (224 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 68 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006032721600 --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":1100000006032721600},"decimal":true,"detail":2}}'