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 #1100000008814509209 5,162 digits created 2026-05-19

Value

10267087878735027298136259411020987888633174425822069591781763673908788002197244703062933741345337524191837714513085548316241271390233745565741868240292734656554650576043944552527451979336150469198837771875370358938330897544511564898419114846988943647279776246510291548334300095442358451630170756267447018180882815655411991763392466066538993911843534141438734977402039176911834159226546501553071034112315859778979340306626865564399357247702170273768569621100766337224210279227010286567863090680162763254453320922863368003134811892656602963703412709605519432630903883376300625456205515588279496164531700527314579971363271936020031134138397763789058531081719256250458482364420352085681317192082442072784067968752384333037991549953514844800757211327276302783414553450523751802651889718406313684489296326747995043295411413149694178789341019297497418937956570222200702054955451607326225642002186138108033418577659238755632373122198837613768157158406880162146579446461857799625024226181170027044501494418881581222794239466260563176513080624930691672548693175714147924612408599466072832723616247088879025554189640691557524707570642485351317132118709880153319246983599631836456809749003482645116867442075589960827901351484567860705128321035850101517438323946539065714795530962327847161343640977475715077123465103779052203222400620836871344816959639294686018629862898022643290740667415838880347708750005636214730473047389730200948093854051736940323169043402127598916374841325205016916096349682911904642855217990541159008828292124485379993790176862168581238918597366784216505293663438158362702652248728582994259932590863397873890795196274628610431236743895454421502404940867052352080045251549459274598675709438355824397854150284449542199106863474579819284694235547589606600823039634214668917252746470334152620417957998977354873581934293118374923423819495221406684562376478906943723738711761881555292077940114185308273580525115810157690985482961076708964313916147636169898063619468015880998123322970240919331009637501457702596471654930272850593618526465433819812467621283552860595593932313191258056979831701275151847518743779298113994328118484714671676116761673376810585072853098108695565963112132976513781230997895196648500298783780344610322196769593773205229023366400570713640411655118872001225617331266631648722138891128187034984733935674567700321538390527696577216911049360113152045553931844096043465155583753724741478668323507787567970139399483646926806252794199325177245999749953265411215618536886346177591832897174776604611484041592751118222805215172944347911414142308788072097558782591120945971569828095933799116402546251102663524617277030843470295936314713568586696952842877531918682914840729712328136262398713702112838923277108199618952709493841273921791046751802021334441708583934984309061539746488632457235551032464606956589831441498108354546604837623757597941539915617152749247644320294017298358853583366853569335156212033239553349160417942701303750785955653452715152842071343769394777773324224602822970733690976505480980336517074470828148192612855958306290401131494080541058869422588628997946476489633510060207217570808259672180207423251025535190762490399889915542334784260135945761572023880687193963406371225324153343355477633307961291671425469039640919356398535571930482210578785774879485535101162375680032820816970614624249215387989155874878302243520949569646675276982927718589336426358530222460396248342095360665307517129680463533109365472459597232659703135688385460074807352247440765727033971091393052997164516109897139082323309245121057625328686138941128832642217364324901448150614586296305421312514148886312820292408960047266971460419716094531169485185138143167485748443259446886857929442851477965416971890732695108230529028181643539445769685550431697355530455214858372525334161053832094907833688941004287649370247601370817135642525843883864669437737731084301361462495071196866392561953641310838796286830556146324009559160078301306762486564050093207570583254165665610908378048860293496077706318146838984491335087295524208641926038413702454123800893310432194698460361030298606085843723414041168829440247300629652290074843961010850700577136952593839167520405181751519201901030021060254332508088172135361240832871306308210928722923888686765055497353659855579806581382129808796046537961447208524631810953992576941242468195643540711172577355874417516849046984438623774804906755680980291522218707226649873726253730343050504410701208914403363828373244458441850076443129489107645777804887132950810233165625883512732290143727103216001762639601138050773769930226688636562519792369677664108668412031183598610446756059153369418999596610321957456873512631769656260549011279055121063567791132266791670598738854928768649847162557408172357487937413901083118734257579649499745671774554929751814578805329302606019370582766574628039249111663525762179276171334494323866852681996370713296210490214402167173570807250444000678501336518179875789542934651250106472037500459774073334725134014066979781390991289945397575085300825830390249865772469419138964811670589786846705638773075184982000935843431273086893798776401267537669687724044009142456693463215766628980884204561733001
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 5,244-digit prime (331 intermediate primes).

Certified number5,244-digit prime
Certificatedownload
Certificate chainshow step 6 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008814509209 --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":1100000008814509209},"decimal":true,"detail":2}}'