A065697 Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,57.

198, 996, 2706, 9090, 13536, 16728, 25620, 33486, 34056, 35310, 41010, 53550, 58566, 60960, 61986, 63240, 72816, 72930, 74526, 75780, 77490, 80340, 83760, 96756, 97326, 100746, 103140, 111918, 125028, 125370, 128676, 129360, 136656, 164700, 174048, 175758, 176898

Offset: 1

Author

Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A064238-A064262, A065695-A065703, A087788.

Programs

Mathematica

CarmichaelNbrQ[n_] := ! PrimeQ@n && Mod[n, CarmichaelLambda@n] == 1; Select[ Range@140000, PrimeQ[# +1] && PrimeQ[2# +1] && PrimeQ[57# +1] && CarmichaelNbrQ[(# +1) (2# +1) (57# +1)] &] (* Robert G. Wilson v, Jul 31 2017 *)

Formula

am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).

Extensions

More terms from Amiram Eldar, Oct 17 2019