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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 #1100000004835844489 3,570 digits created 2023-10-24

Value

174008243642042466887726862278681281346569955790518275616337805118052275057654507306666412750004276677897595985347041224740225960882037287525456399536000918237863732624746393643148478263828637030082844189997107530163226772839912152301766780610862341941587613027268887644053489493035302608343003481991229013732184127031068323866844281977635909714449244770123833725976544937959557241137636378180277216492970901454285196006200419317036787816709765702352956807135504187286362344642201531401497976020283611411019786707810514965476832311047517529136779659835325945630101173173008899352757224622508938478706233011484136975322376893315728446247205005157071255096700777704399424206025072048527836043279330008743038928404551620760658482440752355224631513742287028087422314622183784083966490407686869679284887112808884075974064076458393283064685060301669536656259993312243863761496803588266071325306473828972043225243027438631417110052663358123766212583984014409412723100044291356810758595853996948148520081155054424405161248718138829732927832662896670157291640739300153520853695332016955162053473480166911538630180449784602299864214048893179297900091904946770448497265208320843536689733149527307835180727553016373760310660142685129958607087214411913234413327934800098430032113391458867622206156989797899904385406718651425068176555424009487522205101618141822530434470837119555801403685129136778231648721592145139750204483534722992352612590917987394345338882156570648686623152188680302741132250046173839585512026606735007404076007500295444617602671886112936457975714331422356750600199339988328697301977437782025025770900801177915904950730484151587294417295726316570396163371000506834935370110954204946296053106635959469821911244618497776978075729171928198478483526382278295161018788668645704245411108337676701098895986778692967243944492422900128934925191999953225096916988455905935411444048541637889602139350546664575912333442138271975630381452282725610538763579874475969578231799658944092508227326370248742866508063374458304922740621951000500505551486417198966572309831828481681271445641033845489164124919184048241940473563057572723944995893761244626370903156391274474723257607582171039047708406807295705027586841847792030486555047940351997899545176822141513378121046074669540080546964500785431349927150754561540263520417495998971388829020067001991940438849708193571240705027526057625369995596962816674800239037154679431529870483767164750140145588151211641867367066229024811836665874775573308585378735935275979585843841845875417519322494330304693546821437706480747058883149794611740750130329545904507391388084678414982377123402572170385037783247858695142863633027513477942225396968095556857169955141172008308930772798875629548144938817247966668417817099275857079107477691264787020102214828100492772710119129338561878582198899069662402800259534296526387392505393549647913471831450664099796714201236289739820841760575317944411312958706637170925731906988725743175562465975685160258484503293670372723619175794615084211680445959369593228864345291861687370722132964677167882702087665096877715909434475576542019702150619332087547325469463069316125687200126320688909433483313910112315566083155588504696453711905720577690438284418123106203400815549931314940179535094910600344249508463918415902779496632055961124266494874533883283587449924089559809552570705514534842801051812859463626803990670728928509669318749344152317603283628759052742802507471998458780597630370743398682037467950978432164595510183304468021883593373095796803249528733588288510553235377572727522706207611780745731944331329
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 15 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835844489 --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":1100000004835844489},"decimal":true,"detail":2}}'