factordbrpc · fdb
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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 #1100000004814908468 4,318 digits created 2023-10-24

Value

1997950796732585251267512851829060714627454235467823473051431468966979453090270063199042533637478812918043465271718852914437466363160597403406835953056277315358756202836673320787366104629973095258611421932605250846838459516934887018264503488779357837487848352306726096523632195786819310237276356284156362446324368556591189589219607032593900139931120167279988645415742119297266709780959746350920341282143258342595188642402988044290274480288231183169555967951957129394550499115868174863629612906898702962168883041335523261267358599561069246851447408130275505452031233239869310416947112940932944585576094863754965075074236166253007579940237498461059839090059136782101769166611848832021210061185722250158782216811735036472561542344304301498495033804964473706815965859968615439003558882102256557949491533213528237874150013984015235790871601807241882609294641438519202929442467475579692774857382800436202310546765445071891291376278911076792880794846381803887419965643859738715962889894172675280587982658308974470747892253356344544972085465807534409933645681667987895841984941953862925722548229814810304917889299971042104579245600725748605736726476454481219057558887772554497070999458919410605731406689891966529711988529250739960779931566197894915179661680025376256241743249026817506600714965945635275136743150399572041429411480033674644526088732252370007402786376392346354046568910914471596495165507731264596555894094140797569526834730914700864443201383790428818576235842112150422275943268932164580794185531420451058338381567481576611489248988941376647233098324105837040479515694131227630038167134392701024404316272718588278693594265471005837875097555838188200860181787728509354168101419371962680447797746291557405212131607708150621079493050205784637104069321854681263893080206805180213604921498051770127841560313308815405862125704076733564371279766571964273356009707434167872048532518276452785096775803426233377186393400940363225415669279031840585056264388281789231859845156732206183537446617242585823647231499163842643546258911158721183299250794295419444592964407386319945352899492712136484394772837482354826004588876183494815864795343269945883140390953958077983025217255361808921638607032817926083770591147717659022024474176761711774871060776358288251257429718795882620090763639961296627860276070392171536124010827759785963743208776102966864170138399723307550512702584646487801488279448788524845940318134202823506091958624547578666619369411050575546533503540796885261859362607015815431205770962072211625316230948501183561657845720624006407768430878554320377221013661939409077166548998596925781394355164441944717016695938851027462448840844952678556984531398931453376473724586615317798246870156048231194691436253457415226128825106582200715143835593504433329734680273382615643756414075048636270438258661212677463267094447174228646631124200058544464179414337763877961299756152824643724223804748484065029762351294747734807657844767386669355582101886462683039149959761928691185508810792977071107740989942159191750103327169772252919590004507207712100458417187825829801231281652413925721315602197136411696704783221826088082857461287257059116126562550827626481582706143418286247965890349299759853194131610086033294931359279317925366229229713760390546523498657951943832551670743336886311655390747857340313610965959550747115168972446989064251487842275647782209349242282646934362067457024394031006530626518511970554484112344597044097417003619598233436435621534404481165357150106106464700463058065864409370694570288813971508865123006148105371064238051725654548486364005067461343323148233102469195509846840546966555185286154753257596375466604200118807342894914702354361424230527139800058731592273064977578132893862926431972655903968239960554569739262992616634778788612138991123466601496422688457924857757361444236774501173459172127357921038334948374373964463836784298600127324882321247735469405019843272861738349621258848919547712877068224704314703713211364176901062618584213391084056541138714361646642158470620586727837672416852230312223002350919787367625082709799310679862315990638384556159837187916116747509196575702771078913416709271763763894177130901527257735865376648258204407936498952021130844985627642976881889557707813149304566829058446696641582465196533248757392112414756342989107842586852385183141758197694781870243800817793
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 115 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 115 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814908468 --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":1100000004814908468},"decimal":true,"detail":2}}'