A393071 - OEIS

%I #8 Feb 11 2026 10:13:30

%S 2,6,26,94,146,185,206,221,305,1046,1466,2006,2077,2285,2306,2705,

%T 2874,2977,4237,4681,4798,5909,6002,6289,6541,6905,8557,9146,9517,

%U 11041,12209,12877,13369,13961,14269,14317,14921,15185,16409,16897,18157,18409,18569,19189,21446,21869,22289,23377,23674,25385,25406

%N Numbers k such that A276086(k) is a multiple of A003415(k) and A276087(k) is a multiple of A327859(k).

%H Antti Karttunen, <a href="/A393071/b393071.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.

%o (PARI)

%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o is_A393071(n) = if(n<2 || (isprime(n) && (n%2)), 0, my(ad=A003415(n),ep=A276086(n)); (!(ep%ad) && !(A276086(ep)%A276086(ad))));

%Y Cf. A003415, A276086, A276087, A327859.

%Y Intersection of A358221 and A383303. Subsequence of A358215, thus also of A048103.

%K nonn,base

%O 1,1

%A _Antti Karttunen_, Feb 10 2026