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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 #1100000004857158982 2,475 digits created 2023-10-24

Value

184569016071898259808608259485649167148454639735398069663116162331031458048114361521624001418816313648149396434860060288071048507748955610343942249203086355127274457147358562378074150557276488592917904356804125098022260968800904968903307878288457628903513498747398324883955145374931362494794876792481272518955324890495163435895178752209537059719464916751701453351932225255589183992771580455883819245820353652848765319969995174235184884819253195277502669510034198396168906311428239473309770605499174730023724366349016842206614185796836407478289941586602349724108559397193557296887254480157285325144221361494322437268881381783506086477304089928216465718331946385368692943890465974979465872740037138443659116720758107579083374411513178598059231312016277147899190459391567147620369110683853712596265933353658973860760521181665779399476825870359458882984731084264170048080970245907037731469807977498411535277777877039184373755701175708847667373819238038142532435876904114729100383593954950870667791600770123252742233485127531827008471976657697519721583912986097145817230793533520441883743602124640400658997618135899187012824596023143770194091034771373451285386820235088017957550242995329706060526053402896940012324560371867179985727672403748629893314115509317654440603147902428892440335036394787424490629702211188768587509685709486441427321809085408770682076528331859017357048420278602125733632782346222641785820786271273033427516108651719187993000651306349297135301760205035140114798671646964037686188291337517727886590982594994588826520423067341089614460095750690665889283735727907403014135955336185506981945697216862557559966343605239331785105988544811937054984588634429430701485404642822662086137861707253707268280880178911388948513720378159169771382035317386734242155548945846792320262520303771114202894218518742730186504731435263174555680796471964895052222748952961318829694910931423946850632163634108127698745539134126843650596459560275421885954761577388652276784504919404064962311194622099527407892979986575625341588572464154258892458821456836846690594949233331298441740094385677232440619818435841028139307004831470125931061152212619629886058519474113838152954823807438100018016144736916776320281692231738411980149872911701923763303542339927978683609675979281443672827295154685642179882292369917895799640786167666666483713877498094162151273635713492707659014387989153800739779761035600008898347046248788108631408651011175098041386900469204895848170347826081406978218532413
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 49 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857158982 --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":1100000004857158982},"decimal":true,"detail":2}}'