cp's OEIS Frontend

A373373 Numbers k for which both A001414(k) and A276085(k) are multiples of 3, where A001414 is the sum of prime factors with repetition and A276085 is the primorial base log-function.

%I A373373 #10 Jun 04 2024 14:24:19
%S A373373 1,8,27,35,42,64,65,77,78,95,114,119,125,143,150,155,161,180,185,186,
%T A373373 203,209,215,216,221,222,258,275,280,287,299,305,323,329,330,335,336,
%U A373373 341,343,365,366,371,377,395,396,402,407,413,425,437,438,473,474,485,497,510,512,515,520,527,533,545,551,575,581,582
%N A373373 Numbers k for which both A001414(k) and A276085(k) are multiples of 3, where A001414 is the sum of prime factors with repetition and A276085 is the primorial base log-function.
%C A373373 As A001414 and A276085 are both fully additive, this sequence forms a multiplicative semigroup: if m and n are in the sequence, then so is m*n.
%H A373373 Antti Karttunen, <a href="/A373373/b373373.txt">Table of n, a(n) for n = 1..10000</a>
%o A373373 (PARI) isA373373 = A373372;
%Y A373373 Cf. A001414, A276085, A373372 (characteristic function).
%Y A373373 Intersection of A289142 and A339746.
%Y A373373 Positions of multiples of 3 in A373362.
%Y A373373 Cf. also A373144.
%K A373373 nonn
%O A373373 1,2
%A A373373 _Antti Karttunen_, Jun 02 2024