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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 #1100000004940357547 1,589 digits created 2023-10-25

Value

12227334123272789978630344160008677101127482558395468754905126967184351369780652164863322111506206255986709493822823244011278166549786413399906826309163354917847813914487708524430282842343757227641327975917008409582016302071374998318219414607064577694931098220348788879274353182593968746526886764594788705017644352969961367296820343069139848303637008821974311408030015041796063332322489011160195344779205120332164718574892599015226808685240833540760957097466768006008127827527742980966093511756668988897392483228541148719548950278385649172446221277421286617493344752786607194104744228499725592045732859554147282496605272071083055552113860665973697607240110946470179919374744983243028336139194979446881266120537627329372955709008881756895391393042293555114475198295656165637989085753238903627039316802278553195087951546383870555266427748836534140500176393982438298892313626459787959258053469648727372643492754121963031336150572498099025128450264179467924598082799808367947057056560363593345489275796825146412235290890111397434889803002884090758458761520075669234035775616752704021710022027438661545804669804229429250560495863146393382129401979037967689069472355623698172782597444276483475123172907750278314840970581533488400434971091002638865163983116149672461079630013404896642059755990479100773259016660269346132925353454289381587935859445290773439772342035626569571676988716102973931074857595460116135555723502585181775647145354315294424119784403135972141547141578448592226414406503646611781144449705272535881292710116306366003533033417012636065141593414997941659300949308257393070858961
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 1,648-digit prime (189 intermediate primes).

Certified number1,648-digit prime
Certificatedownload
Certificate chainshow step 6 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004940357547 --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":1100000004940357547},"decimal":true,"detail":2}}'