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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).
2
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
1,1
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.
EXAMPLE
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.
PROG
(PARI) \\ See A368913.
CROSSREFS
Setwise difference A368904 \ A358215. Subsequence of A100716.
Cf. A368913 (characteristic function).
Sequence in context: A277291 A362212 A254731 * A291548 A212019 A075708
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 09 2024
STATUS
approved