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 #1100000004813888061 5,390 digits created 2023-10-24

Value

21189791809202924523585899000973430046293080108324466731587951303402683802059901100597736186495643904658860731966706699936727309622563696312048783844361509364335043571954564038797694485977009521748176762106505389607588146392700355702678701739885500245649020192412536788499419513807389248701941476475519373681423934395156059073161980551701285679405563111340448501600580952038557312785635212247662950177730254707826342270880939239829729111360525038424109520621775324882350858268230018110982153428119615411785754335402075082808498938480957749712137013766988234698341390063621666648772429810224114478672916112332046028851209756388258027894513196276795738151611087385330681152677922625058955880547225225981674038627651584912218090947076254744188406323620650960936683517096087190854505905582842567051086702324071780897070963847314826998591506087760439478860560489961162169872276745084574009256121143563571568419282252929352774329047137742125162640586944616047125736005246000067373113752881427786818998998120305495777986068868964442365668849298027392930821854459439953096373713047939336055574642512567836979230448129399061298949906717125252998107601281106528157929335195058397837315220081900435669942629142065384639600446948118657508200274822463108485010802187425476299750957529210810350584010702336613957920977772267760171755489189253549653781681006460345723817345011362111247465735349863077909719299987311327009988069522314705906145685987549897233257817120583872279055825783173390834847099085185602694705461628051388355346140648689405701352470635287884256093615358724215664849011043877877590093110797232623117858445197506554020059020210268339114787202449841732150043478681949396212477976118198531394456629180196289313456548226810296827337200809261178665055167301292027364788657952990331656046269509805110864705970900619960376430150380731818687805419240390901527035823192051672367714590490684529779777392524049483714089052491970429704779514787001198711315168144532875013835247636505982160095699419369958807803385960300433235995410162679767389368559209194361682556274124323543965796350702726521914882249822331774721010166427028664123599273423859145237282590638482384009482031056115324059388274414031975708693868707774033944016942826684318846318918382054036900587172598415023120936029873603283838245452806633380450507845811932260569401079921125547122342606881644544100438512640590517798255304633517790911236820494081258873817288052739889856477197343379625771670640303586238918871833935554115883095455614681533655507739503832144882843194017810430143428981703066511827278847324335015302507808883322380582210366657546473767725602106248117504655340206666035278148886773011211474257461404677705277334686123357935251720078365682578181611911678891173970011155078713449788930187576975866112259918427664392193846966255889306115824798178960800298358585666208943268280880897883260023594879785066200111310961159177217660127689615440414730248134453981224624362277697739092950418753497713319341380230400116204669404023666574331612072500069605202213006627218984729818504012462357084684747976824874930982225230248148057635425781328983142619868006063844823112549134688346078712888618892289694346070220867285998644731573404884432962615918588296361404626720972068833392160955412129831364155091032609896506355288856305091098686849197809590335398529331982869770739829652876291672395109414582960650061050035190807094813595830374645735841799311943109378989318313563563156863085523756038842968638550119962057112282748122115416110963778924031331355201720905024507881594834171173068943025859422949562418468140772620411567872895666075175063248724870641885498000160175565571683893407297493314671615525338435465541554685387538661854707583109520252280629291143167184727223965694463406503570383099661978987313466507780814491605233174266228872291149172444452984830273615785470022056393776971014698423279372636916865416142477549803160834565377434538069596780629607645457840796507921090285074512922419016116418007943460993725269368010572469614881709805606857810907285077191129622716993669210231965719215948048910612957309219075947235591877834846056303770979139845898414098234503005387922313055025673957330026451769974686524706776007494250519555957460394127799843513596705213952755507984900670163454669747263507981300464153403679994345357589216580456701109185037365029312907287833209794743767541170895689333086826058602841292675278432139671353089251458534226637037335121950043493395631996225498621000452220153693246815242686214247865704272290904134613644236718988958808263139800091495445674778508198653808898159182098808912875247120820396287081212159375109734089069565163501666844214693492552121448452862868675182349059841259714879638427900662263509390464229091374236577093566610448899701113658521239590245741033300155814588852136223744383945945980253644480449821428676347486482016914348909120754053321292031574360494476822087165294963581667888164743577099834666579384169313409756310909979961602810840570869408349087136853565603387490163924500929784727024085165733836501384978651207666280352759016785073617971013765249676726246825010212919627857152291388231153355505592505913685363533292166443288476987025748569854541221514275422305194144906761991705624570990281040786510176864805513515924079262488499550165445885373225616903693816462029861888300861639545883252981307705625034823533026989229305235099629616696630303736626599095815219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 64 of the certificate chain of a 6,064-digit prime (597 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 64 of 597

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813888061 --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":1100000004813888061},"decimal":true,"detail":2}}'