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Numbers k such that A083345(k) and A276085(k) are both multiples of 3, where A276085 is fully additive with a(p) = p#/p, and A083345 is the numerator of the fully additive function with a(p) = 1/p.
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%I #7 Jun 09 2024 14:04:56

%S 1,8,35,64,65,77,95,119,125,135,143,155,161,185,203,209,215,221,275,

%T 280,287,297,299,305,323,329,335,341,343,365,371,377,395,407,413,425,

%U 437,459,473,485,497,512,515,520,527,533,545,551,575,581,605,611,616,621,623,629,635,637,671,689,695,707,713,725,731,737

%N Numbers k such that A083345(k) and A276085(k) are both multiples of 3, where A276085 is fully additive with a(p) = p#/p, and A083345 is the numerator of the fully additive function with a(p) = 1/p.

%C A multiplicative semigroup: if m and n are in the sequence, then so is m*n.

%H Antti Karttunen, <a href="/A373484/b373484.txt">Table of n, a(n) for n = 1..20000</a>

%o (PARI) isA373484 = A373483;

%Y Intersection of A339746 and A369644.

%Y Subsequence of A373144.

%Y Positions of multiples of 3 in A373485.

%Y Cf. A083345, A276085, A373483 (characteristic function).

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 09 2024