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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 #1100000004831647511 2,339 digits created 2023-10-24

Value

26749214952960130447996497935157680274036966107105709337764662953906019960234725071472852892076419687175378502008959232010142313304759225549381500008430822486193267327773476846678687268011975979664251649576972661538138239090805551732317962833021134480737585001399232156268715467239679840442038624947642608470366838052073601644638635808331453065419614323743243579656178168756603942199469811107283444232110222946053936794342083495976268739761213219106839059579674939188826174478583683754958203453931989405227093359301716472843118425477644446644304798996245511365618974476430824606454378199833689694343197887011654736452815927509343207847746405504034692829952861343938188953617286668526580354884078965366437799775676406292163422872605335066727056920951158715042297757387915673916624039946154142240520549913746353318088985977599646214567814508164698079963170733202832056701699919433087639253996602747399670801542861922231413679636897717352293707753234387124702922331883409720663787616057554035868819051878463133119454553995110614037020921930308269698480995899154556928304757905759714898070034206885843987153567485848306662903189952014538742439424694985202954224966830251242432308708933553668331585192564543976414735740989510218815959696668832661833832021299766098983646381711542962173998018737765946145034507483171885443527840419901445782580003092202776419359978638327396999285843241382763230832690295931209176665562358901045503809799840750351156353311699384677351014874216331594848012096819880538613942891682422126948527428904575968832206376638520727568048822948287283717432310579574682134222948439316918452314345506294200747123948091130566717429430730629698021053019668838089622687083580837811808668278678109212296428821605107617502709869041792618450215591046859862596208943584352754732327708695756066301363741834096240447332002545408590837541413218761603962134988027697484257246267297287297542090864878481045387708859408160691055721306995262155759560934350711357228111313120805323652074775382460281645963033282772399046412810106208837110489347874326787966278339934245933487921823428888997117297533553278001585782804626398010250678312506175361395897626626487666192043206004164616129641237091833930185146550929016779966712523234395394397095898869858847323205224671431271055753354019233674619233945489543415015643634976023506431324688413133227
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 162 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 162 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831647511 --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":1100000004831647511},"decimal":true,"detail":2}}'