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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 #1100000004864581963 2,254 digits created 2023-10-24

Value

1413137033420753248788789569959623319201430863860908555425525016729766603161472740864210321535299417952375262566263188335844567822571729780340223608164514867700055053365038689864134495201231950395085739839369067959448110824269038313606957633493243982874766924494107812748018754836727376232377353070842499596481378842455899174486011072697686621787001325932389119694058622439167507499254505266376521342487870782509314015906417753363261774880082884808737717238516863205331462168570056134731487672692706043962844956830012115308000141168224226401766857789747524394721265215740380346980564268817910475965533326748104849606510782839194093934889370579083398206420355184716902720563381966483423784534521603440177711547560997935594311178208530451148524047717875200104915380197366013342972526197168358503328563634538691355171128367833548727926500763248394487328471400313627091544371785780415187169392100477088957797846777939056521527966007747956495635392730978057202734831838923394548370685937234643314825051615559347746695269651369610919656511500485774633076691144311682163936926571208033152767664722373246472944712734686407727980989245648770428900618355580129165079019556577877593230271284437078111668071117027578766655409331307137622267505724960912535787078419173030913266643908866038209544868871810782590796640158824651364363117066427923980821120837965117606485692739338878531228349429066278885334337035785666751350554135211199303816721501257431777777885108674336156914655961489264725206542310335743924058744370454969628982730023011921133971170888651842867498333805496596141000092868225147998461057983112243539448640885908612031427737654846451652482254035968752033497615515102005481717517355185966918117991253771086140778750253436934308722714036264089900972129723360426208154904113244358780287297759463638926951436423348592667243999418109298768147898947284139770623477499386686689151761200591070050540886032854312922002652207840311364473350628134038972499932138025995420359154413382582508238309462377673873109478789941841126778183018211860588982079720610775287067200930618827702093717609996045625029040447063930991787885288651723744396623990794609648930531987756315925382586052128678989465621681061328844006888845631967142013462196691207960032680340003942705209
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 62 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864581963 --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":1100000004864581963},"decimal":true,"detail":2}}'