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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 #1100000004873668712 2,086 digits created 2023-10-25

Value

1037849544918277719161618414406504241255753431396781603281246843120924592943217409065309750598265359856296889893135724415032411378122829609768740161131705816005149936049266492034610341841207702497776564996027207140639158065616244801234948257326518934825848090226373062187559582189487727684402389746311026503804140785442593219644892469727348423580347401035430249815175308934751578437153836733233228182677492213264615827699275183196239484441160034173225345518374108597360635033909684968999791239406837586142711716825783180797787999504375888900237348859675387816852111933430404887192630890816844355505160721543281056535266059479757893578678839190741216792990764722806081931100100776597042955178623522327731166897378661449081485425835807872692922298797905965905543319641582619743294276951693229387167280220038955548656683286466581477120482762451029664748370907773175994381586516959575140649931657791884282487667872455730008063568792181668172503034762868440193848304381243579457091577985133153584239349308327498682357428501787801264289871824479020108198911253565662437099173322868347487780407937827794260366751366164703691860484973639076462187027490152920899083705887041618436367575176274374694860134250291177034578189332616358031474197108378107782734267648340617087185749266255170173338733071351183801476066450184697307954582180763312077886712399509949182495241742558911236606397634041927240501971586286224644523990046293943212778921388578445893178176727799209073736559637819054762578975381452975530044331177959081612054194547399334418800160670312602590596638544191656689763011718421297304511705156576621564545467704653233164688734851885589718517995939211801727499190533651600258841882268881539528080984231380510620367827096021184553662439125385534098270279319219702844266503156388193214550560303157780399256632658187035396047286568364259066089012210127137124971434585511921681874485871934179657557920901799133726626293634093565569269028232602620885233180911548770608979111367738856584752098036804868445515489411188961519068860074089485132757907339243834518234960149206448564491765964311263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,552-digit prime (276 intermediate primes).

Certified number2,552-digit prime
Certificatedownload
Certificate chainshow step 48 of 276

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873668712 --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":1100000004873668712},"decimal":true,"detail":2}}'