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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 #1100000004888220427 2,218 digits created 2023-10-25

Value

4649606311719302603492706361994654213002569526899986527075340210090762628403441385786446636274795935236181918067404847798227402656718346364982669011758233220041622471597925479036203669192433822731492920768455141369347137476512411023375067632405671676355864631066692993938299959040810538309705228280212778092733464647007407443097111155154321103787205198049720430951634651192609445436872745650220429000904151951826739808985438769044762913093894569389491383147028895851589483898774829170079951665273406884850658318605412043848476853158793531682886368425044472133426794598328267701971538466256846888133249484359485939625652085629631827868761314239763975263034407347334152918769691328322299999564272413390423457775030146809359775807147661306048825653219961613803793605854694790735270787107350257510395438965489958639065460756362494558380627592079723807561960170900666887936305419292208742966982351465129576560485938915384297508058382249324684496701394376174108098782311633554142060541814035305195006227867802882679503685021521541280247292727975775170676874691966166154408635705922573999633846635645227216305011039888316207901715630062094667840605004192619837705710512759532400542005422916632776035675025699651702851542433259772603823527173515262701313491659272127489309662528480617495236818667057555885403472630939998461822279355528626527699007071974374319529689250666705056863574731511844148052777863929028393903121292274827160335311354566682517433480207578270015611271397948840490713081059223161299762174191325873923735973627142799176796111556485488491830627367589665032727624377084899538473287847161289364898364044283608388726666920839783737364437780829158160711301942143391308198654585085501759917140441794084235366733083956604946907158371683262131931794766207550011738384907789103335036666101764656775109181931363532056643319109129900430897322903160493393514981363511628556349889328865522779191361945654287360556959894747326895944863730728670762133608991651570039073529529506592519906919489960731892969456992889727901929868773661077565611940261040455263082672771021959927901803938879869300052076373446423541770089419067736556796058064141427452936545026519708593678939601763636323611297069585485509438925786632334235121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,282-digit prime (252 intermediate primes).

Certified number2,282-digit prime
Certificatedownload
Certificate chainshow step 8 of 252

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888220427 --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":1100000004888220427},"decimal":true,"detail":2}}'