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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 #1100000009023662516 2,169 digits created 2026-07-30

Value

184845892232275714220377556739716236903611232288858375201150501130733302120707946767957627624096439651765570588194098825286848430035300259603743921269395211382244322235010514632658331880404666293413267217219157794522106903772711145176358680336472174547088330436149220813740207033343859686103609816635593552895638667624695532483850683871151096807120004528637437384541041758828553464764425854326727526674725753441322891964054588958023079953010240368532132127790798209762778958781027902060125812820902383853924158470912156377136426440240584205457697075672891602694064696830486732932382836320924776813076662875598663860252336711552003754044503584744428693484469522312757250533519892399460229975839405753210640852587695065909580740485014972824116377944425412922315191283491058548927383800649509337865318806082917794371504975703653754807758667750567424567805379351168336824727894860690857562805492826639594870512886283747746673227710861281675787939513849909503656177248370620964574786932410227131795854686897638484971306781434261541081294994752134598593343459571498499210006620022405011252120502116537720377474462322697128275168414693178909317818393903169649317820413203478629090900713758275617229823899794966023433793837467095350399124704066924765517220271077311861735275923738037187625731620279896234671912894617731084211198298117108727858410026109649703896115445324705538891543919660642064290278607804433557353300051738541040679553340857306218329756462431828237308156129156391793473677342313745141325778164806117859060366642729977591978273589127436308990292478276099231424236883857048675634428737180599233779825148764855704013012606503668705744297446674445037534443125078878724366394743549433659611819742215413082756093015266067404275185574515972761145633802555636290010099769554157593200883982623775875497045771429878061150583101328933615316645734542024463833474007241504617613171737238323748991456213491134842696698420053796419636736909320237771141450098810352238432695586127294776972079194275253314819938900155848460720380296913005413639140874738351493823423506663537972549690615689480567597799862478323383697342998016241635661853742579271425521724122332095976828847373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,761-digit prime (214 intermediate primes).

Certified number2,761-digit prime
Certificatedownload
Certificate chainshow step 48 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009023662516 --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":1100000009023662516},"decimal":true,"detail":2}}'