Amiram Eldar, <a href="/A064260/b064260_1.txt">Table of n, a(n) for n = 1..10000</a>
Amiram Eldar, <a href="/A064260/b064260_1.txt">Table of n, a(n) for n = 1..10000</a>
reviewed
approved
proposed
reviewed
editing
proposed
Amiram Eldar, <a href="/A064260/b064260_1.txt">TITLE FOR LINKTable of n, a(n) for n = 1..10000</a>
0,1,1
Amiram Eldar, <a href="/A064260/b064260.txt">TITLE FOR LINK</a>
Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number, (A087788), where a,b,c = 1,2,47.
210, 2466, 4158, 5850, 14028, 116958, 156156, 166026, 176178, 188868, 208608, 225528, 232860, 241320, 252036, 284748, 290106, 290670, 345378, 350736, 399240, 439566, 444078, 448308, 450000, 498786, 582540, 669678, 708030, 722976, 746100, 809268, 813216, 860028
am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).
carmQ[n_] := CompositeQ[n] && Divisible[n - 1, CarmichaelLambda[n]]; Select[Range[10^5], AllTrue[(v = {1, 2, 47}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)
Cf. A087788.
Offset corrected and more terms added by Amiram Eldar, Oct 17 2019
approved
editing
Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27, 2001.
_N. J. A. Sloane (njas(AT)research.att.com), _, Sep 23 2001
am+1, bm+1, cm+1 are primes, and am | (N-1), bm | (N-1), cm |(N-1)
nonn,new
nonn
N. J. A. Sloane (njas, (AT)research.att.com), Sep 23 2001