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 #1100000004813541359 5,268 digits created 2023-10-24

Value

636434167364824155695456541854038364980252195514139738629097505199453787902763960709337756564818454766139915121388108178138441049350315253829998564895706792848760960796628589387865267471187391354953105120043768784788455211693223181293865333002485685520998229561362003619072053681792155119458653139677999192834625131964322390313647841154183270632747733333486806152530354159132882411631127818668170461625096055413408941625205452454328342743521206575265262993287249373462810642526264833222115300676646877621987894470610982511290561562466301884706759481067528387998022493186079682290999423507621441730617212086048183629883183523899968704747894710304703246232424096134231891731845587609269302789417728925174202469153642761500267076663126143939482857749851896294071765007220786283548663217403377450752092136758117166406867995903248641590682192203724981376714913354175160180671579472034905051373476551090439261280688013752019352579862373649850556860341776854870679699222356497815547141718005547063124726577309073002063767371965205885931904388640768648297850496277905071577025929487468784798916208520237656110940413359189725590288919700507350884463226219657497608509751951166194130174045588844503437843418714764175986674586411783832382743282233968084693468542373490336877269445194825395152675292327413876531908414106345133405147284551085791355337746312949346154124289454289037667979139766778721529256123196364403920679727047778303531656425347888027930510439677270461920713354663458959721571785412360766162034318501607708875417756610711955414742731946243295702248628663616715590790541060482029421942463431883778574919294447408775790540915678028156201105775609040147865045333895337757853759607546565538033268756575948136151194700555128569947553181611382353842782595310321555563826227016971988939539674506491584077549968339516114738137501978501048670396055019494201269642916229010749118081688970124832530846337156232624120986753944424249152467416262905216441599867467151560815056978506372692222484524503958149178729171269821635219275160298825218278696294821436026955245871462253306769116541504111741407181312275528157702490450744758229474031732689489114350192570776187253593094518870828508811613688740076805084877425424516494052501339101118205400372902138193545847972142232856958736202735693793593063817351673929388066070747213438979262063119838043363035657506491643983081888138489359319446545025642993949755004133962736563029352988539298214977286819567227554273972171927405661958265805811396499225117095903744721350735719891299849389305695141937472724478498983900640469619697496368340685006112191571803316455411528293962637892552005739596610686258606825319607532615248767366410577292163721990261530559750639818015158623148115952935418044016073785148823047232334634400786680078339375991789685174821126399869832000960616852029722898727521223879392260367861958286445346667279757501898272420224831819109642160078481585466021982771769534728562802073609389295105036772805791172397885153338925676850470595164460078012435955894629140364208524489420831268551782346119828167471860556269415406278780520654695899901882785758860986851735944254478148941116001653882954888431588868533730389408777189444257909630888086968750923950261396381948644147115743700923501266334097248746546981674070864775213139853318624293995629363429141854209407737969049893477264066573351663119202443994631036437287327829045359189831333136709081280947782319946834438522232852337453187013916246724329047079310324672363431601680141798222744851884848360572720308536290285654615449413921871587075907106773599352290773028029731730322938114031791751668588045649036971090847480765657147723745317161171805967547161270868425980721138867283166751625516970493936476880592331372898450138068570256778249429248044265742741497221275495065131832621742153522880378033124563684130811128870669890454979198336890497704093498104294508939555822741681319143516826846236160525758911999827173489856213847776730643642615312860844994307935275136276224535700500025270298605849898027700688666914352367410336907648487583463753050726369205913563395054537931943140389434646062930199958982623676490550012710884767294108752035101110968068231655237190811770071362607989442958986867313555015466943071586455662181542941732843871041221053144248258690319700791543473659889140303774765243367568211732691368114362912626369179786504115692486763719105145808222497112793911577713695164633043016125438904963519712810383089979727536234388066981970052258253161295680789475467085800444070653866342566312615943160334836563978969078379642099434860553525277336252863146750769867687565904683250585958229833225855828396439873393128627268780684502643486686454036589429908222631876909654912020075335062882848075558989564462968706193374610088718368049982135089032563157231162351125822234549029946581035670879348108154461251295832280553787631108852143626193305989017743922387511522532723666336559750375105237910954590350103568889190948800625701130462899637099786931281481412449853532304446802890064948825109791283233623499096409238698575516055002987335143834239947926486698620773620997462023240619488569601027718249790509304630089495819607929371284575935246003915486191782124018038912124705043450140886138305156562605765328326361423747889690306074687016875767428981541752823
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 94 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813541359 --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":1100000004813541359},"decimal":true,"detail":2}}'