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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 #1100000008815873209 3,899 digits created 2026-05-20

Value

30839115430991160346319485579686874108315470337182893135886944214468686073569034015610401760036408426133844728528126918758525869100932196396044739492271047810436610167133142687400049124793159410237582684036092017694408451402682697853475772246182115004526812911863822762412379999499489157399356142666919662851423569930187401935732906828338859191951794106717640324894862578517064452282996260371554657555177921431737512945984359445410960139622919272584059856359180802569228016169729755445653930888954569386701907056918848087090284422231628419568668787011502910853100629560103387753526218185827148045849651839179799720706094925743093462403446571288673402111127544322862708880300803832232646266042805550200633570062969124356855598512906551015161965122529075192569263690016026122347310534548348342383999690108053105605924359834242478787687488446877729347676768522238433132776197021637519513083041634522134796297783130671590662286118945871478107809462037150407493806587256183954080882995398493709380592302799982142231672328329911438223468052792526023440922912519970866914901480156327544360582893626724374067010595138635653021683652413566287163390319048514790632255177497125519035100985971204654126369862677943784922234336845935227886519237828292813368173942691753456294630411246977937792987791361940487092621065151057223270359268345056522556628476447040839483317837405325133561565052036956322609579544584781855323454606817720453735211612101877757362037679932978308644459634093317707565050969299259324206670656519987356417551495861166920990928978683089778393977728366431678226305585122149838852369633814404558683681521739760877052712310688731574267914782379395123759450287619439898524313286993519909602627821096749972914771841168316643802084839127066437214806249903179036190609340030144408094268387406667686288982831050468080842282634969646613480730419521680214025736814262231090695446307559906726951080935994698498243833572157666568439727444153868447772991652320396541621872615333230259630013648657468210317498475917896560279963636266437113404826904767851711656604792331147232068409253091236808456295401393376439091659370368552487903019900957760332432346376610738103086405252784633039420098051282956744914133251654735884161216015269810677180234472866828902424195515655735534944987160472594681824017216867557818315006304523398742448889558176245029778829088847457762684242321274267316924385062442200266844943980968003033552788664480507546218981398580563263287253668789114170609827797470245925267913231898304786565445493349307412619769824688092416456185798738105426851183397534431946490668277272263261732626356521008962670625251002807548465315242215301700985854355626107774581979740283281380422686360652249991976750243594572787992135578110640622988784688080952548175583811369767293160097572584750916566872426424764015775198715608085752594768839032467139339887033254525160929292610661415398796363332327438332905198157313115788424971208566732496101408112300492264010845013701840354184850487804281890607441457721081168344415223244085439558778580203612991935295697558850681480459559637766108177125232565776548343816280570938267484602785866000725078590898418325953831604736654222474614899824869298446585300291151982765560540249618824368328405491169799583294459152219257320640224742841085343623922982801063130089395902556517500380772767807182885565870170235632367692695438466456378214810860021096710253821964795974397595993943462357426673974526760341387252448035067028158296775668265939179372623964363656398325465234206487622870351312673124950749266857985653185927394465036244841428934579826693199580374872199664221195792474245656166888620001589391879259022679960223835268475295376553525747536928898752159964001054208359981669580315936725381203627915395149241187781419573026041463662317969610199706687761561509663625019586378659406981537970235136089076000851058805900192180614730761891666133560282574936922420190253
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 5,209-digit prime (325 intermediate primes).

Certified number5,209-digit prime
Certificatedownload
Certificate chainshow step 88 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008815873209 --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":1100000008815873209},"decimal":true,"detail":2}}'