A332514 Numbers k such that phi(k) == 6 (mod 12), where phi is the Euler totient function (A000010).

7, 9, 14, 18, 19, 27, 31, 38, 43, 49, 54, 62, 67, 79, 81, 86, 98, 103, 127, 134, 139, 151, 158, 162, 163, 199, 206, 211, 223, 243, 254, 271, 278, 283, 302, 307, 326, 331, 343, 361, 367, 379, 398, 422, 439, 446, 463, 486, 487, 499, 523, 542, 547, 566, 571, 607, 614

Offset

1,1

Comments

Dence and Pomerance showed that the asymptotic number of the terms below x is ~ (3/8) * x/log(x).

Links

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

Thomas Dence and Carl Pomerance, Euler's function in residue classes, in: K. Alladi, P. D. T. A. Elliott, A. Granville and G. Tenenbaum (eds.), Analytic and Elementary Number Theory, Developments in Mathematics, Vol. 1, Springer, Boston, MA, 1998, pp. 7-20, alternative link.

Example

19 is a term since phi(19) = 18 == 6 (mod 12).

Mathematica

Select[Range[600], Mod[EulerPhi[#], 12] == 6 &]

Prog

(Magma) [k:k in [1..650]| EulerPhi(k) mod 12 eq 6]; // Marius A. Burtea, Feb 14 2020

Crossrefs

Cf. A000010, A017593, A332511, A332512, A332513, A332515, A332516.

Sequence in context: A344011 A320325 A320699 * A353168 A305214 A319877

Adjacent sequences: A332511 A332512 A332513 * A332515 A332516 A332517

Keyword

nonn

Author

Amiram Eldar, Feb 14 2020

Status

approved