%I #11 Jun 10 2024 10:02:41
%S 1,2,4,8,10,12,15,16,20,28,32,36,64,100,108,128,144,162,180,189,192,
%T 216,225,256,400,480,500,512,686,784,972,1000,1024,1250,1280,1296,
%U 1350,1728,1890,2048,2160,2304,2700,2835,2880,3375,3500,3600,3840,4032,4096,4500,4800,4860,5005,5096,5120,6300,6400,6480,6750
%N Numbers k for which A003415(k) is a multiple of A276085(k), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.
%C Conjecture: if term present here is squarefree, then it must be a term of A369650: 1, 2, 10, 15, 5005, and possibly no others.
%H Antti Karttunen, <a href="/A373490/b373490.txt">Table of n, a(n) for n = 1..233; terms <= 2^20</a>
%o (PARI) isA373490 = A373489;
%Y Cf. A003415, A276085, A373489 (characteristic function).
%Y Subsequences: A000079, A369650.
%Y After the initial 1, gives the positions of 0's in A373147.
%Y Cf. also A373487, A373488.
%K nonn
%O 1,2
%A _Antti Karttunen_, Jun 09 2024