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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 #1100000007222400894 1,876 digits created 2024-07-08

Value

1419416887558629308179480255975589289675931256458386336124686683093496675558375244166901769543625223710390264452871024027938370201562584567487996146525699233996527872444204320898356587953317597695266407352242543290884607601687177891661489920368778042650493525909689182829015285300825594804061776046212019217388837971786740236699733100332872100501413380591700974708751332708720198630302056154247240834224442934316778978360457562812216832677230765740116636233626408656432500768015834310657730194348906866616426068088365461446773772170435503972376767566679620225941687320942019114240084087875212127979021078491742427043776528454978432886607163535793018180303385298406255483015224132174575684765173175978979342941425271755171044638948318509661150926614857817554097275821350506899072322731326935825947120273121421389303934646985033552705894029453724299557021173229994232853764539993452492544233399894693734676859761804403664003614315848076059856745961017499651346085152919486295147164096512714022780218119020736417554409921496256461536879301130916069632936974374382499094600022748191644473000106020979211869016515840573865931625681570327257272848155738793532801850399797508216555308878969726570339414736828709979444161774837546095786965348702150110287706213067676120307895688378299445595613841510051467570373754793053538201085888285663847766479713533313021733696511025103419013137738183839131701927336245552476370605969173483235402044566810046447219259520843309548632582777613565851793344872894996765125962947197958171228546039916463001068545702028136992490171765299955702733011000146356411979138642208434197380198313635499518772365241050512063565322364175704040156035170696450269775575992970666647884884360807080616600191031819235944462567057364712527388481772822220951573931578050044603137724162877702481277034054979762026541824894718548152389317015377651092282939081203471723729
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 68 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400894 --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":1100000007222400894},"decimal":true,"detail":2}}'