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 #1100000004813644114 5,483 digits created 2023-10-24

Value

71852291700369037159589598232465894581040891667367002105481658859644905257258887943685486987485840994454090836329279728702533145946320666746228169908514804287767085080244783087604115977752928432205727023039271963230731071708596984037011481136036671366702847731337653527203872851412588966372330335286402095871385485731236136692139340981079582713385221881519970562129830924968641052662510174165853084622184229989460294278669989563558912514886298637404768610651561522896245303854804751660823226853026887790158380651730245130840260345209114783019183758297387444046735523299361142254056626583302020186133308780212348798322625539405175851311540432880638637488555604473733714596298415026425141281460157584392402484741171100392536667984804800132261882270520980584548972034727858947859639640890230886649694061133901895829849516040372063350637839498718744420661475625576693807060906202613627261841474921279046029970315128369419976226679238536118529730704211519898458970341139269882722502851212932390022811867166266598621544391331478183569952383171189130097409860015663542966077229460717642359408548048241018669822732020899972065503335983637481573343906350572934236556399187537350965406003003162559452085591023706179961825429055020027187373212539848304124757368831003183898924190603368283230248012506049223095242029490665287096947099688236829737835843450225100673563969816911864861073335739594138556184835093931407584439927316030048346984254725455394089993776761983434320724889561408546435656383705633091231728180096531398539226683515519667162184001237610900453024646819718796228725480455415988524638980624229445180939152146352144787627835904745502530030976312779393367290682297088996816159859140889082114574843809443675305778716452057437275666654836387001731909907262223805410271683851415329782919904612513304645728788967040992666674417478852209767590662772935303886859190104582673743172283523606517276107392241652983191694619755948691193279796411221924601673546104356925368837796397134979147512118594612173874119465532055327805432691310995947122523299926671350498020313945826421426547788165460705499226296358860599075299457271172416007046196171012265209663985039982049878311304980881631729017292132695275433023525344743958715033029424515551496442897873910589903972930826596047164969144889022356030947317989608912096911545147591691792624564859490970248490733718003522238059770384965203196436495581966389519168051747848087697181794366313939935049554439068519474254835722578398117779770712018074420760297563837487228381373681734275569367648033124149370869033673008577552340735155375615799757039645729724469183056161609604719102370882592154341183225562181131695256992622076151105618348502177863081955177933229227242500957897730019087625009655506926642606779870550213456198163722237064613691213209889385453464573726294484606327092866716116802361158401774673301972392906620161367117990263601765055787389518355029858548442298867895758064300708399429776081206336225970991263260830699725374352231372732959613996410957161528213406362624469881978307681969113677091699225758936073883780159662661950015356670382909150837266774350243351615462530913387174207092912278371228046075076577856861844528986028510420598578118118500543798598747291694037108637333848330461451315890438856414185526703524551804172844195299904976164904706693582674499493742664666317656429917285403450153021680467160840086644763084437404370785187432815969395273791780014341822856105984564815277576949195411512296853076052610144892109450539716103487975352575744456548023983423242968032741404380210314051296162453255548362243166953895832517859603544499116918194628166400353730673862786986455545111338755020607412324447284433521383119789565716427533281919835482642531384743384901507986047278925614138984007221554653907476264729999145858944642240719339909119762285197096038837580454836335809873784685372829943358097656285895486319328831724803478945999409251131479037039367481161272381385375946029060590550509424538706300739315140082391179565771760824576172774234275789012744641404626713044767437255709972185495751729775255823031562336269029077248843733706095895484639169610358924920651402098959686343903272759672296738844640456838679298147193494264153066921424712805494571419552280479992333006583563782619428469788534488429404394834502388531906254509894584124841569602247267991591121130133634287208227189473178509646545179972387642221236606376138549117326410325123483884079269390319690857206563181728216862810474874205829912427635678744434240375097596510601789722348791573034144024974337902243511733286189098236449859795291834155985302965810205899232350863469990925001003978567997356573270499205742912923302449649905054574219793996407607742563034002214687522754951236780862277090788540791342688536525188551329146265921266489565628535284010314958912102860253499873572437455502273381026700962730332552982837889381801959071329904782359649576250567850945444283279676194002452853864300253836460146137746445695821375819138587520176216152870945691268731334529674612825920591501164746060979603988608016184078132856911338977926017649200040975705119467948192497494038063446986298105694923445207110484377357126110180118098487441726705090304993290931718854024035138424748273049863918040385244961940409009886989396569131851609678944250632270024087749349882084459542894437802952850720573932261240705343690839652550846111902921119140740445278805383599088164465209881120441781175602084414937899926234571677580675763252495923646500216211756603659568292470427
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 6,206-digit prime (621 intermediate primes).

Certified number6,206-digit prime
Certificatedownload
Certificate chainshow step 71 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813644114 --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":1100000004813644114},"decimal":true,"detail":2}}'