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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 #1100000004881840529 1,853 digits created 2023-10-25

Value

47309795268378100548592809567056591961108941965311797526611703484088602921271958902355417144372394902835335823341471229766826554580597765405016802613099119606236108633490969090715843604765954665686239478301325113586966282387573899262462568867522994718521986254245706046188621075521686172659403178667359549691530118429057671650386098829423235444480065414809765002677079634868560731657200980826988429771998451020759237374712573244116416515972140865935570055358050340734366709761240481364888128017029768305816357129785051775018550291053314542025257661448329492339828872914542344539022990943555500297060345041023614256364521676263437616891181207411110478334027854833015835216334043318483569618203056616413740882008049031395959396911324047008239794756478551090820160333356188170929128668936489658299436385834813291324575565701007795204336862636297400519053436206387296935817275100732018456276195279877651478651912541266042928657081460022620367104857999992372932055651087066070289495501502503228483209732238758214900944568049487383022073686053929402413150994961200777596668578335893548396454970713857301775556118232847848800711964522629983031629345309960440003185735107496956600581651321335474329781323295151878838579381870155498964410664348910606269773662574951476033196598694724630561007644476612351917768953282437148557824325878076188647995145526816630185981774969125044221228409283237755592483146936101664870160049612658912736876136564851656909188651536967659013969008079275709934844783449723511364484323721828403604944782317989974836789141528263475050662305447249691323884354407420620486043450989204682136850719565143071435456746442081145298623922514571577762971608649950347690750418425456808749551842338472037586842676001231865480915534154328747845356554844868387182433136002501930353103361132063362718316004249472186465440148211999026505741895488878487
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 2,349-digit prime (259 intermediate primes).

Certified number2,349-digit prime
Certificatedownload
Certificate chainshow step 56 of 259

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004881840529 --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":1100000004881840529},"decimal":true,"detail":2}}'