A384606 -id:A384606 - cp's OEIS frontend

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

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Robin Jones, Jun 04 2025

nonn

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.

			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.

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

Cf. A000001, A098885, A384606.

cp's OEIS Frontend

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

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