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 #1100000009078966356 1,850 digits created 2026-08-12

Value

37832756819710890508258695100359389832067133796163516750314015354255377850153150518662620610818675391302196677372693176394936643637016853535966025807445839326734125618848245979186411712520686546709958849440690303781672036927551767805595667395572587415253089029487591126330370362052789313810314839309917180311802145624581950777948000611168459085959558039508882773194076807753223142641379582835779662396635429947893847534230115473825132759388698346933484314878854778150144549308173121139936001850174661840331428249142311155770902377640188624191444608067044662340156575340172987900165263395760593630403923794537868887875416300675603584560258568249770048373191254839763815117175090831328202047425718406479228427001322470638722689856056335567564280377750145788157500908958980781647726956795100260931648799286573933639410196040637844243609124468414894487904780643260702044187452883140822357191281600183231660802175781602049457560713029171788634651033802544843386005180426900466706062097371764525489907171364014568768572223364264708706263414550178451012910607558570182244801718036890213546677834392265491291547303791129232780004048428994994828037931758033492118471784295665727459256707368284073788859739581895482821839773646215894842848829678172501105811732731823206487288352396769387000244908004815885485256869468565478637009300050530522967045125651067082445647910077962248018665244589353690481422811034167280685341622869113506656441616874068590118343071498037452775210748956163556340526669447068405802873138729254954119146759982695366205433925463804333932304798281169287056713026952039789203380022298571453767986828614876984586438593649848370750468612588023219215586149863188068842425077343783021356926211696694687539981587251411265922096547372214546444173742558408749119372862219344632874820402171307691411990884161833816618530915356361213591042439365771
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 15 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966356 --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":1100000009078966356},"decimal":true,"detail":2}}'