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A332516 Numbers k such that phi(k) == 10 (mod 12), where phi is the Euler totient function (A000010). 6
11, 22, 23, 46, 47, 59, 71, 83, 94, 107, 118, 131, 142, 166, 167, 179, 191, 214, 227, 239, 251, 262, 263, 311, 334, 347, 358, 359, 382, 383, 419, 431, 443, 454, 467, 478, 479, 491, 502, 503, 526, 563, 587, 599, 622, 647, 659, 683, 694, 718, 719, 743, 766, 827 (list; graph; refs; listen; history; text; internal format)
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. Tenebaum (eds.), Analytic and Elementary Number Theory, Developments in Mathematics, Vol. 1, Springer, Boston, MA, 1998, pp. 7-20, alternative link.

EXAMPLE

23 is a term since phi(23) = 22 == 10 (mod 12).

MATHEMATICA

Select[Range[800], Mod[EulerPhi[#], 12] == 10 &]

PROG

(MAGMA) [k:k in [1..850]| EulerPhi(k) mod 12 eq 10]; // Marius A. Burtea, Feb 14 2020

CROSSREFS

Cf. A000010, A017641, A332511, A332512, A332513, A332514, A332515.

Sequence in context: A296746 A095779 A062055 * A066500 A234314 A258738

Adjacent sequences:  A332513 A332514 A332515 * A332517 A332518 A332519

KEYWORD

nonn

AUTHOR

Amiram Eldar, Feb 14 2020

STATUS

approved

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Last modified September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)