OFFSET
1,1
COMMENTS
8355841, 8830801, 8927101 are the first three consecutive Carmichael numbers to fail the criterion.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
Andrew Granville and Carl Pomerance, Two contradictory conjectures concerning Carmichael numbers, Math. Comp. 71 (2002), pp. 883-90.
EXAMPLE
Add all digits in 560 to get 11, which gives 560/11<>int(560/11) and continue likewise with 1104/6==int(1104/6), 1728/18==int(1728/18), etc.
MATHEMATICA
Select[Range[10^6], CompositeQ[#] && Divisible[# - 1, CarmichaelLambda[#]] && !Divisible[# - 1, Plus @@ IntegerDigits@(# - 1)] &] (* Amiram Eldar, Jun 24 2019 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Rob Hoogers (chimera(AT)chimera.fol.nl), Jul 21 2004
EXTENSIONS
Corrected by T. D. Noe, Nov 16 2006
STATUS
approved