A368903 Numbers k for which there is no prime p such that p^p divides A342001(k), but for A003415(k) such a prime exists. Here A003415(n) is the arithmetic derivative of n, and A342001(n) = A003415(n) / A003557(n).

4, 8, 24, 27, 32, 36, 40, 48, 54, 56, 60, 64, 72, 80, 84, 88, 96, 100, 104, 112, 120, 128, 132, 135, 136, 140, 152, 156, 162, 168, 176, 184, 196, 200, 204, 216, 220, 224, 228, 232, 243, 248, 260, 264, 270, 272, 276, 280, 288, 296, 304, 308, 312, 324, 328, 340, 344, 348, 351, 352, 360, 364, 368, 372, 376, 378, 380

Offset: 1

Author

Antti Karttunen, Jan 09 2024

Keywords

• nonn

Comments

Numbers k such that A342001(k) is in A048103, but A003415(k) is in its complement A100716. The condition implies that k itself is in A100716.

The converse case, where p^p divides A342001(k) but not A003415(k), is not possible because the former is a divisor of the latter.

Examples

			For n = 27 = 3^3, A003415(27) = 27, and A342001(27) = 3, thus as 3^3 divides the former, but not the latter, 27 is included in this sequence.
		

Crossrefs

Setwise difference A368904 \ A358215. Subsequence of A100716.

Cf. A003415, A048103, A342001, A359550.

Cf. A368913 (characteristic function).

Programs

PARI

\\ See A368913.