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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 #1100000008649828889 6,743 digits created 2026-03-01

Value

82049119325900535714130974005257181773696660958643519809930643119939690288118335058588076224994214034225001626032929180035360830700801383716663632214924316346250675649149504860481055840798298449523688220446521117964953390678337196276833255338432109223824804216137199523204735128218941150086467687392778084737264814702191705819070021225167751852542280255558176583456670905677047873924709832737743868496432139844725269097066513625629404890838950506578736805510446414542737170908612327047574644590991662764109347155429787382994162789316893225052359691022010533291373162924217532675517267895716373925144867271902952204392395265453640089260158490279528137564624983315321580283002283372562932110837480771544402801446197452334586297209969449833755648412180229981143973513396299516391323816098135909226176916501221729709728188772645019924895192976106532635354031902969034854723372877879516677504523846117296953617077625595343308554445349682568227055976115589508951820639381549508455737195118439350932517308485799976319254559541606743552119577639909333519078415782415103932584946013230092729235177043664184175623743694978027942754359648632603822296431310690679100728126100794129661056115334949426009507653440662876807587335591844563539407597872017106002135113717046650019487170131722526536789879271084796047321162532119755326293966411637879878314284457180124855777152546511968303315524059848847125297908528683630793362828883525133622808407994735165060121452165464310318614774443965108937960542426367815793025234361345120714725175711270540400916429255777800432085845054833013682645119437082939003526885148496897336148818361933565022367715069492328488842373880133592106969143999639945477200742095180283264469777252416763782831186516982700034483637011912577510254154531499346690665773044460641005744925549623134006866517635087101820850340680775412614966227708329121427105925062480871178722013165934275901125209267362546847341381851522991836925296265194178509653562325385607923011354844699920841217351915809142737371032530475525578820504057265207168420456559529882138675054171066837235170892285347293357097632959027617068098857546336131645682079348899566383851328411638200852960009027771601421061715094589674796142113842256737047067146314786661887413308720948032195093814000617747198044251939897756625190179018202429179956273386687475723142864821842673018833847128095577349497416452824965576740217835264382756983672808858598324173908458884258242069667343290622306399938907486370369557166465508938263351774352379147024750371352227150957695328065253886900306329089988406822594877813653329307703944226311429492170509318691602861723900133559004133029988162509062612269163162516116586719837792058989346155340032872312345618803214461722544097408868040752654037267485857464897612156738240747069591247642902265890996479078856094279132082017262015224541360138183090133368118369013210484534142741080842722325259388025137342579001094960919060444199985966792406497636851018627402304585900037414135494395155680523927654605869739751400673811192284639829191038777524773024243721806657785465212911726087677375128264790893103697803646058146725775423618063792586183862755602082124656470101982140540516330343565263217343824528637472547808818599238455328557826673809087692830078776915802149719491057297321122521223642105069692114408246014865158353655225802200143173865111893456640485020932494341565485290704798341526032245414822875144096058980093826077995603923187175500888998662565600053287784434147424701703062723064989953134968771035419066942255014175321120982511269808404429697889249181746847925556474290750610692831746307548775320165664854285352487640834231261000109027956803635640005280461035185533955987381780782192793605081368017213196172418766836767142751819610242039172687513447633892950520317600750406303740935892100751445757165163239442904896597009483498085379253288031536093868627777404904530812524593622787568628611950005832290864402438756831022496559137658393597572769290157659301835441398663444105384150321920466129426284429283201428463007677865453368247573552094966242654000551666956404814215406063939909184266239392669585137905678956897611630608999159824311131147161987856662630161059025926232097929719425677703260718478000222242680029814966599088408197370093386965853919813775949882517018242440485995923450522903748433066527860727411385234720116019308674416172040513667306451211712601043886570633291670480455126535504936633674281323973986063138482002494018539408397089034973423477652234367996353008806992289727713336442376317700174674484734271206857980281742734529608464859545294650554857543341026480938504085362929290417938829467111167959470442174464265619585335737840550783033006257757964856661422488740800596892669517462350471497691046655891657137671928905106276264203452473810503809538217815182290544699457479747220921423795500295171462225614852190655407382473516096068909225848142918506192416590937280167824253359604992860501975741868877170707423211952036315274523024805055499458112852825709535350127281106234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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 7,410-digit prime (469 intermediate primes).

Certified number7,410-digit prime
Certificatedownload
Certificate chainshow step 42 of 469

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008649828889 --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":1100000008649828889},"decimal":true,"detail":2}}'