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 #1100000004813989164 5,062 digits created 2023-10-24

Value

8861174178509802137958431134237306486345122896288410733917704163336206017611728857949117135021270077861117597854855887015237553752942012866966968932522032823053623097510562688524189549838217320667270700057511227614119666445902550471509673141711972501275899819641152324489340327076258237913076750427625989529263240776348758103998718120758995762895335783092572193578655939608797906859271708693509597836214616822235709616901148962410712149452771426213006675260144452545285905977810313351992976925575745044445663547870985923285092261630200513427121173367816905497322789165557046963599724172293197777120264373397866093865528392555338231517381044815023858878676502105383419624758172176300896044797865349099370597718449531847574243617129082908665621910312368426520766877505682648011628540777920834840216626449876491893964426935047764132691226180648236844668088488815650189730695272426781357628479714618440653639757041297827642742680839932629092123980875469913144220010005120902905025494264077957788525023352561557728844417380431766985919935845775525441671993776737353112305588932463388163469567044288574650954249309921641465528220571591955978728071295270580806868176604987311775932295709872470218656314450133751930037029128903888170386527417019245202452423049737719105089653165007362278013630597334656402093910128423468332741782169300226297535914736526397621800445735207929334607686153401497843784142769192068130113349340580614577421820273856376783894740677979680621943650341841117773550268774885709887515725031928612916594422028221441928526851577226764609231099277198617255231783829725396662106148968635226414590804398375172346587834204191911356715274673862101107711119053928906995063089325001601076453102962324258626874668236692266700901795538281005903164632270349718511188986052439818322605567932690469009699968548692085559672945902202678568286685502133212084783075231346408365507606483739014027823763312477743401920879810614933358691958307010008787935800612565550356584198091149620953274235170444281575776410644196352944253265051941342768479028697251634289600818314715194741733345088747230726797167176827808648457521096891335907411237996587849499032484475643463912767304276703411519383339370885053625903449254552879404007315245223536601534847348749514369620437510960523587311878465096854532179581504618065653449128092588120973813011544498825013909032347477004284053971082370906289250881778981256440705213337576858677741252645595968166285001068406508138203073873768982825856081222502932842494514599850906107228638379108082545292473299501279955418123491790429228826421019694080536919979302472674801219348533458285932952356052730774944103109190605175461761440128355667298702740767941724681245071767292330166751135778421022786194012593058301658389717764849988117194708282766476624152190279739759089199679696115257381600572702946475069619808150357946633517098159130400324705855356833128578506908465013461028552917733596485595803729250667690999357783377852864524607060451641656176830805163472609679642341232590171610002351010713489195477816171047163753013557199722114156077264366537360628245538990067769046124955168738488173775035073998292147472045440333203013845003796845012892098035118104609132363454693241524191447131998968355034892368426523310667732883807597366323444594058320673248108808591146021835428365752059372358849947004273722670782855517766184946252335454845147545240328105949857014140628110602845826811274546858211902022811233569138337627045197183272890986764410256001587811574338484575497235352527100592419899713669801236518886066631776034134955574076006537702927554161245832370241507517746794363008624402822861295270612027790510417601393005747364108729813399313347987075311626901750450400093021744387168117297459702272403933685412001346601928242262196641918790107727616368241989782041670038708947994558986212445459867620816113219148373625637162329766792560267532770206471677097464062927788788960784729101620250622955369640673519925051519073770742780647969873016054599044632379776002746088762619115462975277079058570418494867242259118985253478951022412942122336324888135658727558280096511823767174763809149052224937268641376528948426126326464286977795483034247952266562144765395054091887421125128297146896672509629768427630668330085415557784194050375549033918492435126948662063471746323781654280706541102541300792457507432247092422426382079516447204394618858551721676152377855183116981958938413635274217923228571436502988529722315145977273143220065995589147882544134744802811194710056190836009349538236071726586024381571896116989837741873866176441673421260446931763177022526134587693802792013859678607436666853910536341391734102007633376130160324290776765081787113663595412575115486734567502855489185739930862157725307076065620898077484050584584160380674324745011440152626239136590438446665377314779554326278338823364767519720009055942693004289500908321699957571086159233407233528162703447694365759923150527367079573564639783929446526695963948888325703179760330870607971356859711969611100387133017893248996578350172625991858452458049627158344506216745812159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 84 of the certificate chain of a 5,980-digit prime (603 intermediate primes).

Certified number5,980-digit prime
Certificatedownload
Certificate chainshow step 84 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813989164 --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":1100000004813989164},"decimal":true,"detail":2}}'