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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 #1100000004843911684 3,048 digits created 2023-10-24

Value

657935072382992178812944845063542393430927028517829454429737221717187562152524515777227371437816560452092840655393848360786242385438651247038054453385217688021245168524920979770160644309160895322438149010528231980911247755657533472038119895196451907919531466578136350202175443943165255680971281870436644981011082293567269699040449672497368467201543834140798970889446412208768744468372263633592465231736929728362762639141506292048788572737123611869131872700359610167412356696001013105064856050318787606465549465204795471234528715835195444241306273596909061744241420541673835731787720423317169227034193838959768707876807333104218608233932309324662391395586561919675647629870007145513884934793234983635138092920605731597163785854336860251244979284836452959525083260238202821368223882029692889769891015547565806089054305988742114751581088158378240400435770022046146460510721790829899535866902166458224184685066814678782412914454998800860221842761902759586666849919318961547086953923012898558714277086040348811928851322654573346927725302955938187402131252573014397155258812641192389910213803659890652396471676026695152889130635452247140102413715721437301163962407712378159977031976749511874773024701991529865139582028457358183513568070468123799996354216480749301453938333237301843898235586361611238491696874766866126325707647396341290223381782773550037577883514393394162580146074990548252103128151240243388378368140389753232945910930931363983976821446761450602017733699306143049013627780605035609325052828444686495801117769190846250422412663969272748142220352401286768096794377886843571314321973379917863423154692918887142628201323863972677259872204991402339429008351437829120619627347069017566804904798446774752972787500452314026123490510742481774814564567416841573253041283646821985914595840651051370500249216883248885791015849870777556694306567751038602329025926991142303279563989708374758420565500258984934187310816291121066805436950919643601317918288872265313065734172848347093231994300305895934020012630038952735882778097293476053367900628417526612712908918234840802333792959464461357431974748744740801796949587206863536652280746357126771544398949203157183265977366924609798248215549072842381965999405185570891979088796796270756564555818726380458822685246254486451502013623678682049529950032349051487736252355860474622881178936283784156359594911464294794478367147109871656471424699446625237689934347209635630306591993057608424393995418747510572801776342575066204977429119354365825141880977958500691765851728390277117117630254703746114106207611951362167605172387018182409009873124073128198698321182724633983522820819051579808010255319976920956627487799910191791443877351119037993696894939678629047848679395726747306643849334263179615883054346070679309095885869335036095476281514377923726728309731786040126043661139515733310506751783385558976999017262347138638671971737577211829390081317846332663324287995431468472572473515364630013836164418726218313195223940244587020579630094528025052040181546192932780905382402352945366105033667674970412644825021
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 3,351-digit prime (364 intermediate primes).

Certified number3,351-digit prime
Certificatedownload
Certificate chainshow step 32 of 364

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843911684 --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":1100000004843911684},"decimal":true,"detail":2}}'