A065701 Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,67.

11958, 44118, 88740, 97986, 108438, 184416, 245520, 347628, 348030, 418380, 516870, 542598, 546618, 590436, 637470, 674856, 679680, 767316, 809526, 817566, 818370, 888720, 904800, 914046, 930930, 938568, 1006506, 1020978, 1047510, 1070826, 1081278, 1155246, 1209516

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, A065696, A065697, A065698, A065699, A065700, A065702, A065703, A087788.

Programs

Mathematica

CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 1250000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[67# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(67# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)

Formula

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