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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 #1100000004876633972 2,135 digits created 2023-10-25

Value

19668754842199175041102943200763759245869955010522280426599953353188314225977996234385470072949635723109427184975007959483453815101856589609696480960357638162140646172981224401932610766047722602039428899891751404279284244114020080522609107040932399437656282208671352209324352758589989381230372376878842727425035510386990787882352232757566547717031528473738742797801858491081636934298789488913702657534358067598693478935461228860733729799353995299392840430750311395397449740962064624867799943713858473198854961416955683821238639964505858696205154028358494980830599648401581692967986509779377332091192991587976616801288479845686148825014907885878386542578627907302192632960388493228463822296412822497608937249002257527070212229581110715946400398317248403790593772650831556714952669549207154205286963470138340646141259322326284286684897436453141755390378909360095307926506372973370268714108164321082113262409425411467547390977553842250041902978370609118245427048047467098361401208815353473047684241910282778215249124572399507162378494773098576788355294948062085623391854274194360471356733416428931924886949611404379009298413440248184034025666944456762590708149528143091502553147769969950122509007184759266536855105846871998643056521142376957185628370810305233890442223836260302345483909293321575408264544710987112531038523263955195474953875368229692286387370216117628490006552382099288925513790865465024769239970932953537055256104219884525466236812459012631518242882462570849130374943579473878760055004058122144230932952743427584750205698045421782460953991504233895223395009528874711869621448177515233665109520112659131909810848688780096476769964002171157734108379546738207897125945691633149453361948000050319284238829204234740316772782454578678949330370497865306573763015031865788068455962409287621856608355355932034880932638033482309456312354979071314218047132133512836381717347850708097367791689461060739467712984237785084972320726723554328371043916418114576962243153338276350836691268896981758378728964836758385071913430197480420356532322379898912424148946862221088622827319233999554995976654091817551984759363123495974991107864394877
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,466-digit prime (337 intermediate primes).

Certified number2,466-digit prime
Certificatedownload
Certificate chainshow step 39 of 337

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004876633972 --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":1100000004876633972},"decimal":true,"detail":2}}'