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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 #1100000004813539681 6,035 digits created 2023-10-24

Value

19282668232191938584934515993296340875318201557678413596421864978453059346123498340373062816691904381330426355022425759396665861602507191683720497904768084997972203505172176587337595930044074898208068795257826112726792580555700174347977970460087178675924844006830421061114742899931915013045546082047405132357010704352879253187367118990688227551918373953645800471492644816824216943823771998834928433327400635781970991827245188110728037907415053509786628848604963736000828255688038539705672931326709888972874720840013683195558001435058488270904752027995322975612632875713310614238734398004844945393238159907207906822028767484877066353110953665589312201753155256316903962812352679956945610431734445001846545652529868700724596702707124908419652336003470270849282123986467703653595716781093325957020687305168226388551028819794331584295251441578103662434699765218777348322272181898557738661395928544700562814949431101770768360970090402305748181272299733637679540592417602320814344888701627493557980996019748088153079926178168174708231649588216183941057205969843807114773305019158704035851620930147023957341102849782866051939597929515192508805769920023298269431524892957816730638498266474949371667119055933834277290608839773625039599491196081135076818344801588482401952471565438607247914146359083874474209579417521317541961709168609884128399186332443225430789374392363670394501377923155203381692092392814733882968337818838248149412927870275158500072293644523644971002668515208474600682181868916012894067784135980029311737601438005594301555266523429408972640554979859341293463900314562429003308142065239321340755393939842684337319602506924942789168120559542744240474091135656336032391422625093498320521935674153095810549354698532190121401310729090152835298991688469633034372809549941093084564874647943177587135800114187420850719538110389934851397703319665322765763472601517054588983785462101019393601246662080341354252706040998180321357767758885112393956716942113010491885000843869328136018522100169788995555611623782541062050690093991093692151314788271747042848719379423332445843175650463457595059358152327564663474952966461369269249932917023882702551641549465470905133341307581775478237067010813566845590094550364252726894114720406771074481025060128445657374212484758528785452279453482313260689465470083380331754370754264535846722844019526581242674494074348399610591749694837687178030586403086373409057026053048701809374149425098364250229778987185286703389540930896360707423435325927008804686235087722691489464254022701181348789960031065515683230116494268915726276489413191249709897770923859765454019891727882682015638562583188800736116552793274168372072058412944891305707511311168624847669407010640437795018876627493285560846196548826065686553342899048725302461489430419609375970119752640940751546948244587543839739776944898404666811712289460791860119434954153494811315730493070476628422875597768540353895204760710596977460958497369559063764547264798891714182471486803712815034399486443246200951440989492342174193344277012200752239049222171421198271549101378341092460122063277602828145295808466760756484449359767275252373123902892936428407060211120686298444200767653550532073986639837814237846993344180535282924151789510971648872432956702381839424897302282661526426151200004081951113646439843186953015882720325079446222845064810056236371030453548962622988463371029834475514998616418586376052922983109554461829897394121293821961953300511885757630045834476712998740534120512156103099651372083564294756964311702101730142247967266708736992459124563940993583987215526031675446615960396423146217421631778007632925760465751516052758355278413382669335449196670387693230326216676527038466140484124178030332635395628324589566542215830565271045587005132217102628117263639708724649911245255293036206743602473048407979630952030917329222994081038872400034897946713188835824114985082056682603902530254650729546833072948405152359493835429104747230884132351060453194037710536306212477449160221562222293926505395292758322720115629372071975534985388487122929336698405751755826731272550771508175250601160114823492816397596231485642414289421893555081241985932124398755127747514388670171920401823813112125834438366131483558405558303845632190152510974928393602389830297625251656220681405677708935771688008692929486092018988496650710291373620480810110596566729989306631592760479936409628741884726793371010773732765515659756471008042790794032804529758968641560118106130953960455612552359670862010200146248043503511974308339648288923599149705077960731342644676316823451160605300089622169502952314125190117092207499918966938695071522015180916269669806665891809711876767701130853107733883865432677804362036992862251214538319945178794952662797758698967635671688319410317613741012519999830791132453051354846752247041254691137914374442303372859295982142516017523660347376244814580439163305909153516930281904963469449608118282740532119900547130311315660320821004600793407270288316440230854817932395609023961251540875151251903845408380906355885436058642366919570675552467097078442162655750158172723167425447570939731015538665715417341845831741813349065239765739222174116210805878617011872026593328713812254773810466269808717590525656770197091503257605042078575335266578787348470795669882151233474505733841169529565642963134001301313181390585164653185354590411387426963714514899858690461633015844389407629993938773162435420751750019795114439258664804949282213166543262214054591522642041024914133312010698573928501279698443266329840435335898827729738718583228758684330186113070037809756530662069528219811622994332233145004210421315805278417412045107006871862497061145560428730419527227513838866942209111051016297874151298045040981899568159914045262496428301750423527514001315628935301475991095670997633580215767711452736385680365351307573364260980710725513617682124404685481053489980441397343926476579830968068151343076827374885253872439907609001046381478115344228654547406957932555136857486568650433531623378316090074536216435330872440183445002041721610666781809529029814557
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 27 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813539681 --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":1100000004813539681},"decimal":true,"detail":2}}'