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 #1100000004815171798 5,394 digits created 2023-10-24

Value

822230771519248655765228914554755619993146434823604627108640281514391949768221687293782159121335947592494923226560068626092282640521149573788386930425291020383499003516670440950495906736741216356803135414918136455036887287378836733617503028472118541591310649520856856316084826421584325950373319902366309823314266610053779604147944939112983371221263613543768384088872183454229437136271244195338641524470406521188206680376296256028810500101165344778550852681209221387117172405726605519402342360581449735070881902176063392920473038600076654880560583375262682078118810258239599100645909824560075306822795416711648814113301825621982317614248177394748983469495486858215883179955988193729484073939601310100204163373770640129823253714552800700024167387081178371876072512630631077344797370118698613133183929621171840352400337602973163758576901389526770048474993525723525715874689286687626106700337349150931400433849771882617405826021451329396545465117661246714333247729617808761923667489064366539312891715399309827363798058934614328704994194288488462187341705313637887732569537594216340932481316950828563748490032918331334687074713969416892006892664716048112529781093721636739732056178175619504628610342246994097889647376689656224197016336307917253162207893161903576116567426424059689686063678970095612705807414666139658108244592925331168713867258476700822113994349438824874111318959298071167103595553531881825232897889175656411472124072186665614603220912819808812040930314179530822620999356475518659741536682841364614927799375557182395900442798705088405592072973395411056993080184421629061160898836585752991587689519971011990700959709401059351827695716784795560475493491102880348571513842147686013639229625543310942933742738515797797662202450669316971726127273007105426345438137499147360218699669244937345074283427932055912451876892478108023930449692583617347919587432043140177622825531045923213629889780787800463332279384745625421801444483848317714623917163599470106090941404949214664957597142480582362233263415990024491872271272625813839582845766267783820051542916331600626560191388541901854204932624871819483185747094153825912957709422784474735114422517116425481565816946199245514921449469227143694722624344541835847766873823090323508559833390818864748050239700203078790701342036728188927745590808785445013701083193204927933982393977875892682514586105898049734859174035623471455665698649454489972930266638728660697310428727078425676109686120052605604672262848609321058518898344525545255132574947523500929435938282743972435616358964335812552500233156289863436190395851606105323105461282989695088954999209226145326633327432835089605129475763794878251836728405849894660340025394162927686450128210324260125792373505250837475446730208724920388001373842285806730508251908423103075311305291267151890941693851228186122956660152270765061670151478245281643383481339025423614734681753552238651439640976844003592314951579463269347998452121674575484380556021663767866666683732673490517134557910468790485019537810583066825987899905669999107552171072330954088604286497782711492118038694221708015154395067952389619266430792097783801878964969075820468749737454258560956479976725350722149762974090610987810215135501776764210559850742380608468904254049118599048430412501358290579938673911552594401709905484063605396871682650898771331654162482347025724397763000651297329327301893934079596917678453503350146609006241511980756921448276605452250796100804806692895033145583886853429322230732594453677642105414700829013060717937874664891086008125733047390790764578085995554810921266979292274404607080233741476881051942296225336495835921086023566781492904336540043036291609900026798200352642908222152711787728502160568614791117794459648606737028990788079548152598386277224877751843701620769099441286950473378812643721612244045764206734824246226709667139528039832122978354315745344105660412601166906539792731235159690902785493772776071557059663369875745059212082289785820223778116680911554513233576410609299383039247993177928345482809331441461324367264896634880615941713698078181483315931141958960590152531622721167861266964639669735796267546698956717020923936923457330564316556516547761274310919347372405507492156515304157790898249065009156573108437057490685710227051311681611520245279022381920379150789174305624518283115031674668525139060840708801459924195901676757761922713267710579905057539987232155151392862018167472138043115123302965721634537623798488059809899012323719695730965875825553085580108479522762798318478028717754210373617930152446626232077288702313641755408703543332839864557218555057895304268704208315540617357275041939783572472227776282828954923998670218082788588250862116473277177109396463446896048027211094256275737283241052777143205871560512936330639230746873196112808363047504791927480639927567604496248200219199128161830193137645423879977773644199256880814187172195451307440980990462321941473029085710657396097247529692880439689678978242178978274077080973835433876660236158724251429992207621536949348901217825392204022843485837018520544666355622366794479565905819691933554858515294975632313029378610835399422146405985387486729401499724585843321912361542746540123165764902550922588668174609626398072744246423259602754126010557478000912552247106204684811794109834963006967691698076211496683024111303763300158726033137201180062134046347895346796206816487871303423808841526021331279487087316991616973740097
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 12 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815171798 --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":1100000004815171798},"decimal":true,"detail":2}}'