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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 #1100000004833042313 3,369 digits created 2023-10-24

Value

509344114019034802927601405450298656219154048297062744611919896417126380805226350148221857204933047194045781638636564549828408115108457259012311526575677945755328575984264251504169866797820502432422168281013120274822060105382724116575638304162350751817421987198391084326022302768266619411486261889262141799327555130088979566189317409978456638523714683454034443178315968492147412196901671808819995276425518926896067867610408580709701472444625452046455371483230124920767187943713454091295988599468024294595246433565376045485727883153214137554499952890513992834666817243283441398949394803463223322961307304113735580559636244356785054209031572738304825901793556190707108713849500991478702509691717368415953902598546162643064832022416888374380214441828578598022035855126129304983710208689428193204860890496289066606808262710608643187077822695804850959131708703096265067880900113381398838584212265415797412015572752848481124572888990456089203384654932016184725640270567520248500694972623161234166881671040122880498432663267917041579769894543802026813899406746084048300011296790957363755927694104151022955315334465049390524870780203243748013310037028789605823712526179548026135265027246785374393561119824558295571851670190076463676857019493948847227386387703210766269394296398534593267529279890860055014319331549949383594391722331576442586528825414480154906171389750496342278483097464358954917396377012799588950343572776387888458189433413450459987272643810625535031293178756144694253673581552364657983430050926354222930539220385975454985655098203457070946542039815618864827277487270381796986987996284907678756025690030981855454840674678039808079474901697392942295547800080892530161633863030285832777678927785550892672627734906454445028359766776082465176468937239418057382965488342896259871671278406650026968913687815959384566544845301435988414280149391210163830714414258362317516522054989288586111123426023667420157765056201687305870435577773570772583353534409707696727973235353732727187085161873916010532460368633066057933667243749613878247780496374373083904739051788565348879171821874706738533100320209658938994347383123788544130869886002026259188246943856122622832329156096643754917405631574544513659254031681758775593272095127633801961855404371874076282146281694765105682970346341337596901208656814792898726542176374746392584542579072577680451253653349381645613907068351908159076745447020105370541796591169033807905208690189556183473024916525583880166085957903130198849558790445166767115593860499450803573259344218042056455789825049812189089751635601102918729955627533013732515212140604753534875379598317136201404508031058238649818545948481622318836010784272497269637108125598562290628619101954967351680185802050759514548020336409785740467792018253874940377329855793356484756542680331011122659206226575318237481887098927560202220057077168637971328749964359691333139837671951672956160090631548122851618966593105601709627349825311964599883832329933457186841994037060750621444734693979385715051088891978462465491092725398657764444004514955437202282222719896443451261907731845285655835413304269395624343528011955288146544142342815057060965103938776025711653242376882189245906497040400530014187898051351455374663521664864031025025408191336955692461710046452579973020710063074553676591158795138442159708317676946732245805116185802404474742577846488966568303852920191341006800923
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,832-digit prime (473 intermediate primes).

Certified number3,832-digit prime
Certificatedownload
Certificate chainshow step 51 of 473

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004833042313 --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":1100000004833042313},"decimal":true,"detail":2}}'