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

1,3

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

Table of n, a(n) for n=1..23.

Index entries for sequences related to primorial base

Prog

(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));

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.

Sequence in context: A121253 A014118 A007704 * A059972 A245930 A086432

Adjacent sequences: A328833 A328834 A328835 * A328837 A328838 A328839

Keyword

nonn,hard,more

Author

Antti Karttunen, Oct 29 2019

Status

approved