A351958 a(1) = 1, followed by numbers k for which the primorial inflation of k is equal to x * p#, where p# is the primorial (A034386) of some prime p, and 1 <= x < p.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 26, 28, 29, 31, 33, 34, 37, 38, 39, 41, 43, 44, 46, 47, 51, 52, 53, 56, 57, 58, 59, 61, 62, 66, 67, 68, 69, 71, 73, 74, 76, 78, 79, 82, 83, 86, 87, 88, 89, 92, 93, 94, 97, 101, 102, 103, 104, 106, 107, 109, 111, 113, 114, 116, 118, 122, 123, 124

Offset: 1

Author

Antti Karttunen, Apr 04 2022

Keywords

• nonn

Comments

Numbers k such that A108951(k) is in A060735.

Numbers k for which A324886(k) is a power of prime (in A000961).

Numbers k such that A108951(k) / A002110(A061395(k)) < A000040(1+A061395(k)), the next prime larger than the greatest prime dividing k.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to primorial base
• Index entries for sequences related to primorial numbers

Crossrefs

Positions of 1's in A329040.

Cf. A000961, A002110, A061395, A034386, A060735, A108951, A324886, A351956 (characteristic function).

Subsequences: A000040, A008578, A100484, A001748 \ {9}, A001749 \ {8}.

Cf. also A344591.

Programs

PARI

isA351958(n) = A351956(n); \\ Uses the program given in A351956.