A328836 Numbers k such that A276086(k) is a sum of distinct primorial numbers.

0, 1, 2, 3, 4, 9, 30, 39, 212, 249, 421, 2312, 2559, 30045, 32589, 510511, 512820, 543099, 1021050, 9729723, 10242789, 233335659, 446185742

Offset: 1

Author

Antti Karttunen, Oct 29 2019

Keywords

• nonn
• hard
• more

Comments

Numbers k such that A276086(k) is in A276156, i.e., numbers k for which A328828(A276086(k)) is zero, i.e., numbers k such that in the primorial base expansion of A276086(k) there are no digits larger than 1.

Numbers k for which A276087(k) is squarefree.

No more terms below 2^31.

Links

• Index entries for sequences related to primorial base

Crossrefs

Sequence A328833 sorted into ascending order.

Cf. A008966, A276086, A276087, A276156, A328828, A328832, A328833.

Positions of zeros in A328829 and in A328844, positions of ones in A328389.

Cf. A143293 (a subsequence).

All the terms of A328313 are included in this sequence, like also in A328837.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328828(n) = { my(i=1, p=2); while(n, if((n%p)>1, return(i)); i++; n = n\p; p = nextprime(1+p)); (0); };
isA328836(n) = !A328828(A276086(n));