A103859 Number of divisors of prime(n)! - prime(n)# + 1.

1, 1, 4, 2, 4, 4, 4, 4, 16, 4, 8, 16, 16, 32, 32, 8, 32, 8, 16, 64, 32, 16, 32, 64, 512, 2, 16

Offset

1,3

Links

Table of n, a(n) for n=1..27.

Reinhard Zumkeller, p(n)! - p(n)# + 1.

Formula

a(n) = A000005(A103855(n)).

Prog

(PARI) a(n) = numdiv(prime(n)! - prod(k=1, n, prime(k)) + 1); \\ Michel Marcus, Nov 06 2022

Crossrefs

Cf. A000005, A103855, A103858, A103860, A103894.

Sequence in context: A135282 A347409 A179411 * A253808 A346171 A007400

Adjacent sequences: A103856 A103857 A103858 * A103860 A103861 A103862

Keyword

nonn,more

Author

Reinhard Zumkeller, Feb 20 2005

Extensions

a(27) from Jinyuan Wang, Jun 19 2025

Status

approved