A384607 Possible values for the number of groups of order equal to a prime power, in order of size.

1, 2, 5, 14, 15, 51, 67, 77, 83, 87, 97, 101, 107, 111, 125, 131, 145, 149, 155, 159, 173, 183, 193, 203, 207, 217, 227, 231, 245, 265, 267, 269, 275, 279, 289, 293, 323, 327, 341, 347, 365, 371, 385, 395, 399, 413, 423, 433, 447, 457, 461, 467, 491, 504, 515

Offset

1,2

Comments

Possible values of A098885, ordered by size.

This sequence is the same regardless of whether 1 is considered a prime power or not (see A000961 for discussion on this) as A000001(1)=A000001(p)=1 for all p.

Links

Robin Jones, Table of n, a(n) for n = 1..180

Example

1 is in this sequence because A000001(2) = 1.
2 is in this sequence because A000001(2^2) = 2.
5 is in this sequence because A000001(2^3) = 5.
3 is not in this sequence as no prime power p^k has A000001(p^k)=3.

Crossrefs

Cf. A000001, A098885, A384606.

Sequence in context: A146526 A120626 A046058 * A137271 A131356 A191119

Adjacent sequences: A384604 A384605 A384606 * A384608 A384609 A384610

Keyword

nonn

Author

Robin Jones, Jun 04 2025

Status

approved