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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 #1100000005814643349 4,052 digits created 2024-01-27

Value

20551844576500151266030981236339626830622438444723357470451183503183531690296943543414924972965494818689539092566818632922177379668041737155375404753805027249545902360059000620409596437955376655313598597212015732313078982201632644251078347174996027359424660045830433016017472629138564115701762254022156564566714508687686786393032802265255853840943061975904645890856014355776632291568915221970184149209987859835097068212076922303601419787027824555421579556725935674225386438603842867986497141886921744824701678344167345696504791190306450405155960817625321669860138682448040376952916473745197685953799471654311283449883080107905258501878893319240918469033300623156902247761019812299621713436560420252475688066513802594067219924893789285215648907730755236976237847068107187387226032759826562907110989361375765846036669743721213611444054794181431414067724526899659200029104952383876450828268294118947682311991871350905790733600795591204757120530706908950316137496422995492787978145071437227911057823666659974118912366278469097003012847407042369670500857551951890825014308842027586661430844589774202085742633115303411787255508243321192185645413179725589299655139871743571636816585363907920120648726778417778518900593195375305800147757587328037763133383808130035425939810505409467089205554818516962566194439452353878084643912606072999663177972656684311312870821188488334883660368274754127984610575837221627009134870792480349641462046296954485050983841025218564919929132460264990041062903667842598936609028455535878951078922315142535569449073832858778262661810708135224201801997869238523166525570128561496273446345611161027321236901514924185308106451161761275138340515493818501181193522822578052347031265964663078932156855507993795292826047019283184920311958742615167857804894225891038846630034597936166919979216748603073874797184047031568615373020641059110677155008095919035294505053004511553052246417029970838528865276430706761842164286004220463359810706547547572205731127580233953704796498095891603636433970854478181933079203182167801019730376766496414689727651621456644549427097695209160610287750692689361216997842362045051685064258658743937682131997784767735517921027663149772494389582738549745909103506380429512329769506194692925178169213494061628928971454037503919975985138910795512845010594826722215024038670796606330024460471611517329391209784196406607238585450559838024666640630929174383012470273282858664256533476307033712693623120841906270994854151033382872096713995430866688875546091163149317144586691806300190636421595150322216499890111842789764275720552669744242437392386300678453928076789195710244443141810548353161785197503099851759050827683632746072442025252046979168842750612802027607838317518813893249283193797364739243255055250518243416685190386429689665471023374040345985946519852704857007676332723818589390862711373129009758875532998682063712616174123440432123030980842810467316025415267030715179123395361896611264909077204199004354512482287261908866280703639908444091435105363758133699251571782801710209867587685389393795035472601580291178108550323475190490509273808348479126645675597149407036360327994837432149406792413610718536979504844249810036146870219490365851042965356022541904865225445835264905449627205104578669586299692772735680413425937176430420864771335880241331077623453984449875186024327723580097546150508926495595437404915871466466412282527659044427709144633114305764672185654364151455956596526311954034963598688505167812361555102961222925709531858867272897463958380562792316593207576833783402387916107425385987743557589212774426958237827727272315597901644143704457218935168217179844716422495385313199548043910080070908924196541040805066951108899738314953826125976768412696531847038892576643539416600961993773898418050405675474616550293558122553320709483016802632928365998003107045189911872337654915497502244721031956112669230033402351193715211456760321637672256313832006104662526118825125827168010708908416997915500194221411083856934436075970315891014910226342983341949191236444201224166064326521191377783897995064463743
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 24 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643349 --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":1100000005814643349},"decimal":true,"detail":2}}'