A272596 Numbers n such that the multiplicative group modulo n is the direct product of 6 cyclic groups.

9240, 10920, 14280, 15960, 17160, 18480, 19320, 21840, 22440, 24024, 24360, 25080, 26040, 26520, 27720, 28560, 29640, 30360, 31080, 31416, 31920, 32760, 34320, 34440, 35112, 35880, 36120, 36960, 37128, 38280, 38640, 38760, 39480, 40040, 40920, 41496, 42504, 42840, 43680, 44520, 44880, 45240, 46200

Offset

1,1

Comments

Numbers n such that A046072(n) = 6.

Links

Table of n, a(n) for n=1..43.

Mathematica

A046072[n_] := Which[n == 1 || n == 2, 1,
     OddQ[n], PrimeNu[n],
     EvenQ[n] && !Divisible[n, 4], PrimeNu[n] - 1,
     Divisible[n, 4] && !Divisible[n, 8], PrimeNu[n],
     Divisible[n, 8], PrimeNu[n] + 1];
Select[Range[5*10^4], A046072[#] == 6&] (* Jean-François Alcover, Dec 22 2021, after Geoffrey Critzer in A046072 *)

Prog

(PARI) for(n=1, 10^5, my(t=#(znstar(n)[2])); if(t==6, print1(n, ", ")));

Crossrefs

Direct product of k groups: A033948 (k=1), A272592 (k=2), A272593 (k=3), A272594 (k=4), A272595 (k=5), A272597 (k=7), A272598 (k=8), A272599 (k=9).

Sequence in context: A223303 A031594 A262508 * A189984 A092005 A236512

Adjacent sequences: A272593 A272594 A272595 * A272597 A272598 A272599

Keyword

nonn

Author

Joerg Arndt, May 05 2016

Status

approved