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A065697 Values of m such that N = (am+1)(bm+1)(cm+1) is a Carmichael number where a,b,c = 1,2,57. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

FORMULA

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

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 *)

CROSSREFS

Cf. A064238-A064262, A065695-A065703

Sequence in context: A252945 A158222 A156771 * A159204 A075457 A224452

Adjacent sequences:  A065694 A065695 A065696 * A065698 A065699 A065700

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified June 18 07:04 EDT 2019. Contains 324203 sequences. (Running on oeis4.)