factordbrpc · fdb
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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 #1100000004813625158 5,417 digits created 2023-10-24

Value

48278706748456172152803722779777248867354774323323642332267017299265202779685781077039216285380444293000658834463094924644065882897418765915546245565351830105560114632122780027746409769231875551198784289149650939751491518648738753900694060954231361191128665404813980943615365819064487206111074324480369874266167233086298848395591550807204330237525769008727896968031430021481047549347138340495224067565579179762326447865717827881928203268477521938389587345419389730573996226091943774499066999862146063016396517087497888054396411288496370567518967395809206762358639453973259653936285143606703862774751178120806609592312287378425196820774202814138563490782892408902775770762909570681840372698999264431327086694734608858150968061453070587658530609309535380983191649101880343252896247977408132168500979420874099208040030136097359729693637922083057723924232790170132550678582997455007678973340185758629470516932575471531664794966659822123164677377489092420293058385397003962413117567172861663647079051707239469151862498877424388108298628700327659736687282324237450097908113360941655069233478415856794068533131119572152836776338792728540099067069101591280556615566838768117035027371194759375722028149736451863201235480163773350997558952833694304805429376964266894606862487278663087505448195327404291105192418085973160814177265783513210492085161018486793626858030369444345784856699934804150123740398926141165706296512757102772368017695114928311838278787133191684144647604989290768727496374867059094663339574278429559484403302699932642523849754646069832429288809482443971492043703418926227603092884977321629252111356112862448088180900413463815716485846695026867786007892885639149418964204540621305164366095026602137533657978755825107231909485591096643572395841311775660947005709857706487591801062793454911172665864442727746089405040722756367729670576593371499322411465504852259496573939275040708841036817362262457509998424179376037011494883370672880379366306611077494331526629694573533074246283926722782374695771227177628069193315803360512660274952686304202425644410485466289918867044873717683347935918879223095091628388650933222634959018984112705921674248916119467960800231474233235415292500462912074700888650535442674392502910769998210956343303623280267108216291395305754830927895122180358858803010393990714305343679646799575041855994040356863457905482597058840201534732550775635242164423971083627849676477809255032507555872463016159302590522410431659315989967014337093534431750377935918189119333001256880543295773224395342883169428760734635571095528335240165964183225971502511600374772345638375142773873452775951148270211422192862465333299483528140140545349764474016604192776492676671135122936902306256137705955863650204894684034511363996085044335143400534144709421054534518165307242381557620113086085942926850139439026366556320406792422651206499601371564108848445356157738178764417892076017347792287697453323361728790349661562897442138152184966292534175985355229053163197740026392539643962482700047380883470157214881033236228582221642959814971800447930062637878170891110148414939969049462077503971669580212271735172022163537338998088251718319955931353468995306404892303615866204838483383652660037476057711010486623456129067005295558131522756175107784173105114899124310380221008203683422379899225585161631582674289855344717751704515125428820663161265171382315485658005658086606338288031817995385694946470021497211407564761240487021460598303127975823714836330884918049810350554941284174039836791696494521306640765992983207410913391426569448025037705255487563939148241760219883051743194988151431229627181361918875954825485068372172613289414005442290337284789664177005238657554684290780935995847387529751364852006815532613018658540383004842489015566391512276966966388570298566222476865212231105179800804033553235754681746185767424550302400156495730382522674729971031856318046354474502453734190707805935639936993045585516648112399710834377443628471536532400415962515450147375574109268353409477786739595903695269390627077684764579529324578682882458896826053808390099860991803405760849772745720386795179239332208768718269674051730284751382988099112348224994204998693689623999313056980020987560045629156853406124950584804210959378680092255750768632714576373808971391760810284693071743576113410661039389253577843138927156973497490872790906542298983594253672981743245598212016925822106423207482610842463770140115383227927727694718453211029251691742494521260873723820593725781657813811451676327150456602027484997730180595464689978366665419623255637762964533216763421236852779966530027509897866791158195647197129001235408332267915582484230945295066806010294733967383426570375127101377196267843144188532114269749711176134718133543899686594903453424933579450026085609560660184618862257003151408031123757828664430224844385180216390690725199296730884478916575242449947501387827533064970294545103542068075280973486958770089633452134260973600939074684586579974992096432116352715851498395842153134042352833318966116023271589294867261344800034033225097302460123095684890142500893918025937734635676528194503389307422468501163613599522247874737292295667576045457871547282696062202453530963025541977561544408470919420717830616782590647630885867832105348839122404238633389798001355301073591367457259338273158535652322219671931956428238647859266118298757468252844083344893051526110915449972507698124930592435378049431936985300868920207186549900053
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 6,220-digit prime (631 intermediate primes).

Certified number6,220-digit prime
Certificatedownload
Certificate chainshow step 66 of 631

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813625158 --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":1100000004813625158},"decimal":true,"detail":2}}'