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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 #1100000004827240138 3,982 digits created 2023-10-24

Value

9702778903360456483138630419748449685829011154190809032077745890685365753722966597130031611419389800696783380898378673405541966641402960654781817152853960867793653442682222677901387641816244632550955356919351786655102733264776263758765853544920269563209603650001135126919443752167118609197242831438108631053363123111556823876379347739122583829895210112566617078601543623991280403528116774628446156007357836849859436426887446942178913399978651296703625468259434001980045692205951096212414544533738216399936495239892558414426420173874707227193714073483466525200669766347923577898120553061784218854587138332999022662799488906959793515177954276995137629202674993296843771588009790712211655874498165574981222130632454861688572497528860251057817985027043419963991210551036090773830730102701380539719078401919357499949091887849296682675600653257076552902664082519802261696355996041381312587060319057973769358694317512669407623060648955816034178450736662804755261872214719603067717568787356551841762973244560765997979157017204728430353313704481001628714335293071268433794830730454201302890990806255612593463783167510296724694139351380222421698708273891791385123728423584367999076290105915509971723628897475547316141276625917225188039573494093404946250167315007458821857118794412845657931938730494079820105273739638672878445817349632917509089074616245444692604441833691140032593186732425017980898420478592385097771164910895929323981668994211681321543402031162408977271374124526917212363074178607685937481157956668095120992051068992278243238240171504761512491021937682994151142915974931375009625254816784681639960792815303783081110567960613029833894456989723388444959742296079889221969236653153076501581844206023594503302539562380517779409271866613079051260056217406401335426571493755839648888074936112605830729427204546265186083743904659889543353715673898409275902080608386056059824467804856445053875446153613550626718198262087371010201149240658716251249473250408615750381311613470697326060862034724308508224683159175716724836087560602150027270413461529351710515270492863829924821640105839937539336623078902333225996329399811205021698898982297624645167723098068910435171758452941122674008864414003793846809445177344215638876317392531294215225020602339938451293857433746182599316331976975180032140947235952422254569457392094202512911617282615224850634437446859169587997977242858698375808995901786274440543745920111995034761708100881830861915412447337188371830768663663088078673305784354752562224481159837187119226105783457465436112076160375556012353795699422410298752705721322747372746708806721773134712593659950345831699601652570945865918609905163213136542634197219136243537048471081518428998958245112058664249358045295637080323277199524014502535687697666986622760761899175982882729162254322073247239420767239941231989713750354005204508406612651148112679147436260377627128484908625436188539159343346203908822189542554700456269183325837826222961944752619578687631727555488049232191330206899477731847011112510731549141279306031513162059557983958032419561257071700845506648938862457569338567585463561333577010758002320670422639397338324927161547360289956959880280605282668489063759085828889492237678973840822026027261185789706125737307538049680403478694686317026243978463026420005484765974728672490905453146794112205229865482017697117127886521302105972768958080356404792982024728501681676084354814156213337862263367103230870431975682075114362921400869556247884580779191471091870347587047738369050033727032815371427817286982152274186545395791561430151623129869893844205876454423813185797063889266662739659554489091332928063571483076738633826788063913060436104960694191347573038957445985985920760916297268257070989033508807082816909026963910527477561314281242301624617480916782179851270832505105910215493303813359966058112450387325972422580924554741612560235964018515870647826594164911018486180712464015314395824164098571413501774626657632231188012525368926368658757012067779156197169209065122547
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 4,191-digit prime (449 intermediate primes).

Certified number4,191-digit prime
Certificatedownload
Certificate chainshow step 19 of 449

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004827240138 --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":1100000004827240138},"decimal":true,"detail":2}}'