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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 #1100000009122012831 2,510 digits created 2026-08-30

Value

15782283231537809106175713519336293407059127855170496092418127779237874464865226524637348459527272009380160400424146108312293739662179476718631590674271716065928230780386168944429895839065224185458655195524452153606105367233739195310123705937651096134526053547809915739557312365592034851701316973552136750713310143637083020103731222641009012457803081792602794012747912140938489096846870854573739558704224133406369972090010035999445896088558593230974774620513213364927456386633445792133100911913550125741459942113230329469278322725051192032544625426185635645974209060055372390155857033032638547179428117388451100264709497837056339606953633876835183134457990931358762952962028592383299651484255507098714909670564730505986236756977821448730320925856141768884442629758081119849280664205458184032473037053938266573447097027182994753733005759407400568681218728249262320907306370110460536777246354352082517181386718933245120482882636564269738114989231654905346117045587807694908928848809195641678932661281656501051969057465621034951695940799306221362860924519791413343450848862603415865912694720090579929471735288954300579905241502741917072904686565703984028072505839991684864663065735067925806077361367985694239647816036538117829861972357352573091771499036206039319380531168771225564770793413365863748323872237731269088293181297149453464765805407092580525429557509931077743983191080334469445159638660213713133360727192816389385639824744427965077025511083249285474936640984321086825792671214393596464194481548380292617966310998763372262754903706760498978503533964560982188305699323710483242195979703439940663197399960492550513706775760303563831177134430083850419690297115503303834182393070193913340023602566997450983057109947381411551801767415192921123961154488704528309316307027289227715539196130839739026504235949132015926205348603402754775883272038611341618961401162708620857172224565813486677484537727946831619866151502948520779429824278380264697100721642267901866619248262368921477824112098462740690698729296117738776666441743756738437533317032213989586111896787119660643300967345701400061941216931700794005839026698375073336433039535646208998480837065268669543436350678793431380669517982197629783361508197663969600816776230600821826050574683158790966998107968893670284543502897215370072171144880623563880347416944886560383976385152333207264213928244349215402040197864754289053398874188361416732948214766246706033414213164249760595753952408198207905832087532868082787845818860443095400281185189120093147382090771
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 50 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012831 --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":1100000009122012831},"decimal":true,"detail":2}}'