A332555 Numbers that are not supertotients.

1, 2, 3, 4, 6, 7, 9, 11, 18, 19, 23, 27, 31, 43, 47, 49, 59, 67, 71, 79, 81, 83, 103, 107, 121, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 243, 251, 263, 271, 283, 307, 311, 331, 343, 347, 359, 361, 367, 379, 383, 419, 431, 439, 443, 463

Offset

1,2

Comments

Consists of the union of {1,2,4,6,18} and the numbers {p^r: p = prime of the form 4k+3, r >= 1}.

Links

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

Joshua Harrington, Tony W. H. Wong, On super totient numbers and super totient labelings of graphs, Discrete Mathematics Vol. 343, Iss. 2, February 2020, 111670.

M. Khalid Mahmood and Shahbaz Ali, A Novel Labeling Algorithm on Several Classes of Graphs, Punjab University Journal of Mathematics, Vol. 49, No. 2 (2017), pp. 23-35.

Mathematica

Sort @ Join[{1, 2, 4, 6, 18}, Select[Range[500], PrimeNu[#] == 1 && Mod[FactorInteger[#][[1, 1]], 4] == 3 &]] (* Amiram Eldar, Apr 14 2020 *)

Crossrefs

Complement of A332555.

Cf. A002145, A197504.

Sequence in context: A065156 A097987 A049149 * A304206 A243498 A156287

Adjacent sequences: A332552 A332553 A332554 * A332556 A332557 A332558

Keyword

nonn

Author

N. J. A. Sloane, Feb 22 2020

Status

approved