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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 #1100000004842046657 3,240 digits created 2023-10-24

Value

741386256290839421015156925601211334778078582467333866860272596650757292453239175782231319253245064836110930562181428620944664568201237914184341508144911228147087462576884279023294189799357616074091119768597549588163615877847293862638452410693801210191293383962093208076365784106608325253906894578947516246046361177841622191240753891453643791056128938048619905755205130422354952476202690044524174533716764652378400133610043712748435395486850857941699046062974835922689189657577847842011545469990927013518150307637976304771221832410169488404181706496128180359171424077598647703499753088386294639634438659295265731990243897492690519418325871791614018951211927815553519729974180392887111048264028535507067897139409349737116298657886201583362634851756325076904623528524622563446735142370042964527538846629305642045760495868071316308009653996726453191947947496809697977231544652788588217143308642396770538219056266537659127114829627951372212615242711865635768173899161704278663783341375756358789188017729341035877677936351794468008948407409562285481553222203794602173551414525428080045416907744298017563136725190398300772693025397010801940195416415163666487058194131939751034016448742072075862191297050303818904014479834608197430263683944885952193848539591111400740214444359922298094372955794004551092661996472863213259560096421430889094873223794699484129102264438218573601639260816848195014978511827226925774589569257331379051600253142084730353146391959860849197374362078763518725223948617711899777118874354283969089277992063425090291680757294207294694565794483647569688878929421447000568977281659723850791717258044878468265993779904781137393019051016796187297529409403828386522870820712465929788097696345528111509120265009688400331568985180357253720576630346121939043548414800163122062507757190871552883319482712015216158337147576073245261651994161332733996149795487881766097617371088343674086423800056107743786382624885867437297772937394778706274452112295741201887972753291068931272878471128483855143636561978728028604517712083535943195253413716066625863615734073705775601276478179968540755987535900470470875139974750774712105919250912981520002605625884851456501754766297535484192854498034188978714674856254952315507745238312011262714207129599340942837252649416635843242923267683344595475696772887105295178518445321821889457422840114337780752883557784840907504086221989347014770306838704122575601551330976083970294788289955477252564989953035308604971270200188124630558695691843812421763574558890579032071273460613497888645347115692353845026894553832106486675435032010286022256235943096948358718348619406808425815931442795855546451834953349207947983521235045416075944197029870317971596642191166734710524956903921534974665849205869694560270736132044273775337170090159407696529907418273617247948844022804545953664606288349624002684983870367796056571650994340427083344852719870825984603678521533761454695814966812836691543984532172064086532515737500160996121014817199614082569629331822367375619654953854199154888365392836799986150749995396906581090197070445943088684329156492811925986836432046800335581818917251286109887334701340745940956256371972334047109063015855900522279846545906523862115858762686150754332984919749626437604408041605597450849
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 25 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842046657 --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":1100000004842046657},"decimal":true,"detail":2}}'