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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 #1100000009121228575 1,738 digits created 2026-08-30

Value

1947129108681409403946929387974079341621713881395000474505984132803133574444569212013874296780346018657743897920027977879110034263637751566562187342905509987041306356881157082215028325392322113323085831739164091687370200837539075042270356065936866226600227561422903703266587013945760862676232503110740468220477491633222922542615439922057096853727456228522751039792738702586680357605248677224775096992825311418981788903436095616710886972031885214696472763319976141693752610466432270121608700524076122624647122455946606928850550554740321719691363804762861239925887672076103719185396179206145080724081803866211001443694975222284774788549013221725780274907070713812177728817122983534213334563683157870016541829431270265615627189856713064129765145808677554978300239638518663171385739076554258336697129631063170922889186371911894010616870714298206390165046671052306935832787789477330439340746617317192742333376313362264985766366848407343769699423648517584899144269811918322865545840672972911945103666063532246619792761537725038580435650050417981577942865722478210760159978393780702994445359899077203238976512460339936823055516766819144782932374303103119915228582413098932384037373699893046635769226043846814195168682081166753336501714320417049223834414181553659029533640127113141475206802177962395879943447047266713611257840211982710381332371166952654711099535427955755473955517115276770361960119950419862008382194599032674323053930019698203083094109202598287213555724577473961740974064143339251700040046325380684939726635513482367521676963005657979772760960498349698319368340887134071834995299097744805093363189535185038807994220735642725313564717786275803559988380947744183738480823143300329506591162239428073632996425642255586928738231941251
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 3,048-digit prime (218 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 93 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009121228575 --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":1100000009121228575},"decimal":true,"detail":2}}'