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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 #1100000009058378502 1,931 digits created 2026-08-09

Value

42446527189852370575260765325583009798473984952772332580937293135659002735253688083433712982605120282907399230376326346780538915369164162942204759390850239809022325137655406546337437392611265014308327272384676153416498765951059031011085109087196034964559778526765703616793585243298683426333420329122747936230689389988008171152259776859367447107798456454295905946064072118758682255455746795155656337431710332195849687977566468717377120916629313512492476647789125363305802576976640466421606248583503334277513995375782766154060712398991038110395637197455766111017760306004412124216171006048067290742367323536546170694718849542055118553789798499493015342865590665574839288897547524301784626236638532699124468082084832585528754313208440416273366150768257272090588509701916039595035800446373016657578928620881904575793375712996711956261709578887984595200009984123022315478650416397866613005408431753860508440849901366615888693930250994628268976728421088137776954528153170865392847069290742838119245130134796914713537091436343743949216353308919971509292763734468076264817190153198896995965931838189777298096249200693874861979340524325300045937356393326971220101203408474584912431028737032501614357294434825108558139088934359080279608606314710678203728275086765858248611270586752104156754136563048830509419426409757033071895126298237485554888769827391885279970753477891934799409463782813712805462990803655755196636478455487147348607340374754224697730046062828055671468894308741185352657980585513150399268928708065370889679536809656808570652628591179722163609968126538617540882987264973820632093031648716144855189428558008036095440215304177855347988189173646057748606077721808947515181167996429346597866040255711452735505786737005077338498184321756773273934422655090439470804464621024484520096202879587550772157240609158858776220758190074021341544898763737791266425785081863839418585475134946495381253262248194135955929964993014544319653801
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 49 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378502 --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":1100000009058378502},"decimal":true,"detail":2}}'