A360011 - OEIS

A360011

Integers k such that the product of the first k primes is a Niven number.

0, 1, 2, 3, 4, 5, 6, 9, 11, 13, 14, 15, 16, 18, 19, 21, 22, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 46, 47, 49, 50, 52, 54, 55, 57, 58, 60, 61, 62, 63, 64, 65, 66, 69, 70, 74, 75, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Integers k such that A002110(k) belongs to A005349.

So, the sequence A002110(a(n)) is a subsequence of A359960. - Bernard Schott, Jan 21 2023

LINKS

Table of n, a(n) for n=1..69.

EXAMPLE

A002110(5) = 2310 and 2310 is divisible by 2+3+1+0=6, so 5 is a term.

MATHEMATICA

a={}; For[k=0, k<=100, k++, p=Product[Prime[i], {i, k}]; If[Mod[p, Total[IntegerDigits[p]]]==0, AppendTo[a, k]]]; a (* Stefano Spezia, Jan 21 2023 *)