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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 #1100000004862225211 2,371 digits created 2023-10-24

Value

5463903217069946435229386654718880065817270598045410542793082593078668236360330342506291591050200045079518158237909100474006781016041005098161341593464163745750016811274210334673278774185594455240864323647928339964593690120933449334808875640873320638504708220392973913417334201590907049663139253325534665471260865436977466594634050639654858298977069062112664522547230652503739187469755735666487534987335742038584812395239715659532203429688435857333345148912884888087312719901882345692438748352958721072838447687442535199485449519231154654870014596552352832592373052066195659767185841868962746348116680084036867485543261186739474090922200480119207508873391380046220342335898623420909525067922016634660706119178639105176176251172382910096893700097305125632502500269754266373194243743981522519544188478302542814116287093263688351495084198807971841477360661877310352527825841759365464363381548939606754566111262875385189041075027175078529047066728430804370024950055215561679317553422112136368982749893648916392068925948639952737814421800237569558501250300553414753787106453312003603927123333814976598859636392311387231849103517857966218743546805733848932372036638760018136395871224605585837948705637306651475727430289052660919996955559753252832388396160210964112093998643831026965816320887140516234206240827536535792866913707358192616190252500410690670513913874612375775388648211118614237688891265032742586128282378824101626380705754511063021478383878585259657987536975718743576457930359443976230621895875823943295986468950865201044046732205443354462825218911382547663727591120012611521486754891031145459928850817391478580705002388813347890740286251742414232971569171691946396660067706391607483514479322187393924826982538647073677521194111208826565090965432108344003256547717167304323213442013488106674406124865748668465762196887896928913905988648828759534347386362419747348165577958059706784580772718736385858628596936476391709157030036799572027042885901133491961496442743201977431184414687227589571341079426113160643401062349856765285618487590024697049267846736745749243598793479218449085651596359338858229451147329820954010793076540426818528442140766109522911758127190491725273463262421273026724502577426367213422509649177142363135244027048018947604242999751086468810153429705477713555256020802639630848757191377395390303219934439640230083453977628630005695027692053207293
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 60 of the certificate chain of a 2,890-digit prime (390 intermediate primes).

Certified number2,890-digit prime
Certificatedownload
Certificate chainshow step 60 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862225211 --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":1100000004862225211},"decimal":true,"detail":2}}'