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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 #1100000004873696209 2,102 digits created 2023-10-25

Value

39167560862021458137450717805337258276753683791735115717383262172610638388437111804385934016323834846386818638631346209690677744176082305353703931786523181248630296551409477315203186221628172176097214482525521348175843977082661809545670843142198287860111629717863362858043215949398202927284348910977429237587920695080270050560924209198618100420054493700517694880751285614128912612340196369037156433352173499738537211584627647733194102297244996867394329033344742724664631007120042175249843102747905560660238797091329481315212960222759206556046050283291290203789291731252972967138285517214665533474815141720526656671607977618949542784757412878600599726036844044436063606177445432303557161092359738313529459756515883143821339654382015727598466038720477784818085410164551105540698739389709956524253189155992888534907309743822935830606570556856804188774042948613216969075946709122530707319472978639012188881849833077663943273022785054033990982688925932925154636266789324256056618677251422996542139388017799224912695332004508364138870365088582550163951562304460671400281120452876714453443158102571225043222831472930871673713668107902279282840156787547240525945366644289273764498599282702517045382416028731405850948997150152724308790059039199771246776669480387254127212980539149896424692564337473646887421699607625927281208158375440794813791180117833467146243982469008363211738886801575974633557946823567320544001390946061088750789369456306824424807289024188810368346488830838749843207854235523511782106656369856473288497316805339633966007572574708203202071319892832496800045453709508037207033236813222075585959658686223906343522945389307205557569688022320038340731273985189779132159020258795254476644882717857956113011414365180276854239786592051294942774135655265543258886265889502276980148124689193108575694238845227301661725762467184631988580172930339329524014866740633902190692622556912021997513528880971120087598684981935036865967004047239293896811514326091420602647689605243864166724814612562012930304298765520182677493140534634896383596656766864450515605461443327521526216689966071953060076581064104311
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 53 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873696209 --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":1100000004873696209},"decimal":true,"detail":2}}'