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

Author

Reinhard Zumkeller, Feb 20 2005

Keywords

• nonn
• more

Links

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

Crossrefs

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

Programs

PARI

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

Formula

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

Extensions

a(27) from Jinyuan Wang, Jun 19 2025