factordbrpc · fdb
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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 #1100000009104084260 2,191 digits created 2026-08-23

Value

2178542085538560136049150854738413764959231646979260326538290561041444390758798620932195663389030843046134821330357419055860052052235929690875844338582612443857030904655663392820849216521511828427140303292859399365779576129751563102686584341562270616644957476310267399275702705046732171898830011215865667616591938735514117881482650921218475512073364871285522383129685969333527755833568995591808974502374417827583795313256558247882643445051136806911943517978230012645713530327084406283910895537017510602614393289667342715127617446669746614660171586073198739060002816607507310539325639533838164382955691966764234708986616274949564753370882351936472358734337649093187117783942178107779031646669701494977726818224256956987490600994737806958681358296093564103487505836923600347471903538157721301290165646209861327151968021244597490876646964117192488751560067624753748973598077013130067504621756755735862167469821080233688044640634781818653404836631356454772435258904504147147219418337787577401933590717737233698898202548731070035317833803834443071237812418862084316408382369857791681359612316411330407111959388200018000901580581124941350620458314674434019417210439382456650374765357232743974389147270550322450673748971439008009087848222835474502645255657881341405635386358520232244949303495315259699261927232603664203591750085065348265184625916321430834828292381545971596699048347052180694587050498734263921904591255166882904113968206100214860060934949194045280278594720037545936397079360840696605315000594496154158793355879493127917796779533230812099226762561604620292646207146585861111470577483008298868425016056290591077429771376310578064771268042046815378230559617039969294008074693021792422785424129611848984831137230372089225052964066057249439997373687250046836207654766173486105420268073307798564202969754205248102117412563382641084666102938889145500490319271626378635217259506382741261062359206036531430473146107196979480903725604888082723448050138527117884885056130366638137994917063321880598916809749349166947050751340405104681413240427892390301342168277214683024290994610913205297009852796761152661808353961963531999380545999254633017374384677962401302712788947368983155837201748306783
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,989-digit prime (221 intermediate primes).

Certified number2,989-digit prime
Certificatedownload
Certificate chainshow step 62 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009104084260 --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":1100000009104084260},"decimal":true,"detail":2}}'