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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 #1100000004813539839 5,975 digits created 2023-10-24

Value

38785027295070449100321331886632194443723558316564569989609310164316136068712807778942384359171371503530637531429303113205271133167575314265668592707275527977406148440744040890638688769533107169868315414202168559727385731407300773431089353239145485245493659113714742062082761135454201091436418797800925052488648951253319919003613799155770034379339563296573784314177976641976918446671324863064165069242480702598701872065067390786682440959023825274228669374844711705607969835124064390067710174460039101957656032579212300616226836297927792285757412621918757216306922868057337827739773865035001595205354466864767520250196214006649414171031280784818771005774550867841127769664897324786027343071294195655066651746954371321983834881010749564707591074927594240416407205100146963469765184185355107864330707779381507530690781185121551790068082334108937769468780525285901103361911671329014582213398881229844449851097299288455656554137743484079724072011485485724847942306855837687019869104303463301860933809518805632376674457363810652355793562623912154449856744886191026672232677031567043384655560441951754813652377020561878094053678321575676979789865914178984258656244764738032271438076122961828964534563141249969460423269832720189318478571681837325257981363588779868561303959126203521397450097882886538060523078322790238491082383365118028930128540393708360170015969038111080507026961416340711346886411210952920195631361711931753414083865800916625337993549422648014062002665049544428085438230791296784386988681604399521022400228170526527324558629118677111893490405343141506607537049833567832137936944944359404893592665634372451159750771422455650466536970356059307970864278729056434562052746916916110806453319545206763130310919635121561615420996580364052463507168860104472517176351824532932190855661550491188279612849715451192469115635652973250129886490416946768288635844871076954401124774601363402205649965640054728254317685137445874429580471108459861705704789699912359152717744070513376193204611381719259506230137779082296028083516663407494427470219513206383971350600459610118846774877945058924137824884720752898378470676784869455696895751775385577803583123326743838707575176687301781527004633331553861362503201127100660807101929756593071229733538633812080192132301382177640067348449219052454072141678174315551136350113532489660034333225243952754411011113319746826225683426002352210544591855727050203106563484473816644267589758133763511133676126789765602022102355894446405358311801294723162787438284766131539839403530696918077853618791653789583239546065756405756776665703275522555020898828460567981087370861489383433399766979303922940955025133630122763661602060974166285788754080265651234193928865909920136972423217391636915350795159472001398264961277441735046441839257141485715901708094119886607148250701386654166158711981222844731936391611394012860926437982929272804331220662741907213501639185393972988062041512417196445856249915020691615461733579008277843414477401038719032773370240819458288741624439218286706943560135697010233305022428582475658945384339255415088516040445917884904377529439343422903714075750994667052635234796908278121231187004791904414209269890656213441144158878114693296895432427931068971662357355385793313629648020254210769621280495503686898004671880171246363017964469224360910251614375085190573120048013470180063014767077833414933011432299505350097258749351190606709583176884375597635251778356480438059396768244657171757955658384368520649485813999063629958447537736089804578922998770337149641394193090848833530401842584958487754635796602399659984809999081192349746829008071495815190006884316960917874788866955542845984083548189197175406925395914945375918753425577557418318370405059773947426730161545560950065833033547586569327914524973321533399417747260639888456065617732030750282242270598880863103631659920493864965387647029413493131888270555453026443585442664504444021992152068446818569280918448334578744574027432652216953908601041873511210048937888360925556449140419983295022537989720787760926282797978067528677512661396189893529452589303394995381836496599787548088822379332148040240653832293781795446884959160831442118894662426443261540010532572611768252340264554405988232625691112865204630931027454964012273755059827351780418273397796799637063147628124570173162525060281010700451422182021275033401560196595681391032527560364508772600944278503297320047529705072280299513077393067792972238517834796420958945071275893695458754208859563538622203649673393422920429850874346757249449991531512097700625387476498208766224481796973773475821509716609333976815881541219924038500531560400389506778926933864889882776949357081856207442462477730881207453009663950167892119734007024973980853750967719798738360802325311264965686106602084666861229331301874503510161906114693990527988032469466874759847135190228146112020662120654515885469918791679677007692034327084437128706354465604045481266140322715505896779132575340986162345618173113764711250548002633774949519599810504830804891803245525438943940428642824423292333028602742395106937142385847427623764375712334590625408629979577028507102836210516142650451596190075147403301372817042030208588791251120277088965359610302062547272010879047175816120983291839028216474072465216670634527509972841501718788714074201933715071887767143066806825999605618171558332826439675319212621023465530713199954212705307322805377959481954466971867355869898205636427522485727921833071482739360316787604504302993941302119927632015903784406239203550476940338890434556485603990189909115481386180532095917468401428146738889422920379541535117207829266732542065618804013085436045552018904750308621253906291923125922965204154759246416245811430549429285751703640662813242139525712328337952939091706914456227752264324030130787454755707313119806851576621280058209401031240135124520431129000923684363935952002256929761910608645940310663537361248536510786408774704929637051093649074377975679147388806286418500580861871888919408578059436236540525519203735471
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 33 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813539839 --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":1100000004813539839},"decimal":true,"detail":2}}'