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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 #1100000004822809821 4,398 digits created 2023-10-24

Value

220621535413379523317115678377274838322989903767108338143226258550353280180986303927313780903912392085456882002192310419796726490954602407006681048011775977282698411736920468521227672276916733595664361443353130344820817716456978157325667899864504374721602252538416989302567850555002357814505038597579888275175498962924647667781594194873874852428474621961669086300157723029100845651677727508164672499755350788408750636183548261615276290569417481770102737354257974707010692839809331703402448380715539402272953785862739112744891039518407234317977758446881566720141100518494820651991411753677624914970058147841646934768810047613287426888897204364013056126414501760307072215286080198445081808929483938432940560851873297960279721658740161000623220688675403956682921095832948747954763749030500713453440298435278756193275685544538303720343491511092908931634690462253505313631243473139751969072045904715148968650358726019271218980827534697263935183105236650169662796650632364214041298463517613407201893150937467257215923203538604149772973499987783429371849850417097024545946570554550905413084220598211837864725571262691742731013451462208044056835935031991634470140639935876866121278639879255205870204224240154388720200257102009103465967169915541300514460358691882787393707807581941524894428933412213182764382121537080418932116886726738373606055156332220548417514525045123344844375894209412434943863826568490177303054778250170605420794616993684101250093369978451713298458657425219109314805360740146680313220065921499938565965530207863405623992578416187259162920634642229094720272716843255239893454458964613364291506568945633487268618223459012150249789537025704184519111937139346188750728305786281361717420044443773406043176713464287491255957231335050516591450850724581375528383819387719259858322786531398473457021311763974820198995510032044254613370976921685670165742571423098333390417895857224536330628473902177432755508772906201469673312423784889502025483754447549381964031687105353439157505252632539512903795823625756238574961784655503329763643963015660883623245634645564093246366472837272364048268978637337729362105540749103724640052042863565500338078438583615659552689065482412203316979722753167369886205493956458821658753982780275986864310138955566292310858963419045060139584279384332913367965316501192615001738518159767586984575616662911402269957843581868764529847046773209617269368352794843325903850323670026069740144358203673106668140013688759464421798384294707366743540927472936774417395503818404187294182556507244505365727234400842353349755454795238459246505107485722875059870783053014854042567776502004583213958138120487277951888612529199792972010286912588147892634083032968376736960141481806213762458708455166834387134215353796540544726975339572105583003064680954731836893367715649607911675776909552595564092086914625434471294155771261298157156278173983683548486432543063481156902103616341789018306142616830874626795960613893233520764914798796965444747426835210614564996112706312672520813597571796467880539311739565040926583534525201983281059557370500338742965136394868203239661237608479741399971720301710268915266596646535170896770627344879458925039857565180589117400168424399506318576474771113992202064061041646092413994257309278840371120761212351366884634275959542722655266912702702052501036150323663965512273217314518274404601361869172269531141913100297025002633629883330201438921299007390597110648356023391342129831793999247079649734268151335116483559780083790052055641411143187261131050886326051258811310866726309002082061122441573695063241546789824939995361923029901998517733906030597423532790919680340891079068018748372176757563701549376440559313180873999731799123674288090252279946594481370750632323166147106084861875118939485044171725520809531241137915858463731827853677917047270044522057569742245417110938366375909342933463773916514187795645328323464575574785691389050265285040561841621963449227313827663141283975143951759830836464247742605145254279377985495391511810033239595771840596632307557192806118156226236206557637684236498262692019061729203008747412030510969927451514822824572076192168082786852728771098127934474275160157341039477051643889881291718801546345816485570411948237288006552671695440404182442625314055025001250058306038018358098948420216590203161773045425230071794716929109576207658791894959392470370151141232008530826654539575539966320647843925461398578736595270843
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 4,619-digit prime (486 intermediate primes).

Certified number4,619-digit prime
Certificatedownload
Certificate chainshow step 26 of 486

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822809821 --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":1100000004822809821},"decimal":true,"detail":2}}'