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 #1100000009008087661 2,290 digits created 2026-07-27

Value

1038664379149334751070015576099720029106399731195235690172202197101333698784568669933747387564534872148885941547163880831389692660822761818327622104147160175616421299286241086366371157149247680602393910952432597279983624029952444896265380479319394110863740957733839466902499719200993495204879327763935868657334855787013584845999827953910821393567369492628938448995965282453704241098999698015837752634920221206553117861505141617007958679228557241104081488800091126525316790122028120185356919640825283142727444890928395842470401067728187344193461539843011858337216781177186786926053680331159073583520474574273106140276930861298497690985611879258274354770120762876988480612001933879847802497547344638176169702885448181226663474541021790948051256314283634764113435929040635445360152668812299140143278916499912237169404766454962103128819279616761424766708946724376287793870415305780560394938571806822601651386913307687034128027318070761331609609931041600145228236175336190211800885603319044269012530324902093912310459528995454031628473609595325080590879178453460136802887203515794235196672176009924727014179518409707859448438111183277014189814128750433522708925893430147794117281960736913114650047265236468890503975273124275320263871863853790569629579618425932806096817488923466022420903373134484007734829208534959982315137785708053876096662251172576764659866810339091986591426294965269022750950452398708261413487451341568482235905214740999175824232458051938466514637358951126822149076147730054586585013992102599324364156580299577849844163227995846567343418898555014135624366433378083159973739978013508991996397263760321709639331453492814338743224342447836010422833054437691822081902324629939305094096069015219873083831203090484287555952140789021503519366244211998956005882637088380442313251217637673550639654696371177318780077154707623519731654433616353982951899414353466857890621542303904210479154146193744762640619795927970234118264914534666633407580990847332840093752549863274675071495660899662187563971105828272970475646492806706213910654658087762593772488269916876384638931032664928204612703964189216609342128043121145949217184262344031015358328567957375464536964910409640891725382139480846734310989212439305842038211099624426951808819214381756513018414567814417968760985750247587701501977
term 8309^584-584
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,290 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008087661 --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":1100000009008087661},"decimal":true,"detail":2}}'