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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 #1100000004873168268 2,461 digits created 2023-10-25

Value

5302753095521678731391342845967732526096346019920000136503277298672420450727134343694116635292828067659140689133368782354719327158831413044953991157924695213466970511422023288028772980906797805054833610244006137922657625620222862949654819291818787699341973496206646684069311198101619691424241973863887844552612686254365402967018935356121771827961096194202873377194565917443609809503759438469605309017569987915339128453787252398539372401199671218748258482999008353742481011193669141059129033906625715809768283091104677930973461224999018789476803368689289022772218781842293512082199087810290674647236945042253339271600041549227021876594624778521116018856121915949241500064111145803576923969420644999342346364081923570569939976359056432765713836315049060878910022947799730000382451174395498216458451248414105050169230370237829073207090114705642667818925545372088863166842900431121137883889804723754566514844001314443218966914146588170716815915552615250631900074566496193836567883714922283874649668631578348194728489414602935102642219603980347243304120334072267348537015117406733826169512957514173562141891433609754715094847250532984881489655461739865801137662962377844708451610527480222601156165105789179839241495638509754170160684622740907201142368040893958173413127036339151626857740048262967191264390887004788399479924570523174384911152140081218565698848086028166596169444013565063115568029232573580075381570521920372335752918273262279549238745100607615566432648310707807025268270837185965127115715130197666644618922133788507367733141675369950503918962354335815499910910403692132020575639797880098259918070282287265771442560339389050478445649249882744610584622022715090156636794818763821428384884185776801726257514521014249977741254210894982113348419425332182216164940027249777307477989776616628608130921939290132650094115288232982004265605389580652419368704485410875300651398378622837618394884286488197312897975622223822499758226797737926944174702764471282909287973073380873104887498725714439020802450669774136418218592546231069038275848138322712151615977211072690762541869493931803356902804748832767525947129692410898549918462057031111366038393178467698313840737273039356672388538039398646645621713470241350822147029894070491852195293801083804286313244514725289974907450085911427056106259272035690237768100785142005907772567663141587535956621845660392950111960263764659310184674263264544702590302380841613945020716350658166186233184704564369647453667036542859
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,554-digit prime (370 intermediate primes).

Certified number2,554-digit prime
Certificatedownload
Certificate chainshow step 13 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873168268 --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":1100000004873168268},"decimal":true,"detail":2}}'