A082879 Number of primes not exceeding the factorial of the n-th prime.

1, 3, 30, 675, 2428956, 289620751, 10953617995740, 3175094503778521, 511050155316058710033

Offset: 1

Author

Labos Elemer, Apr 16 2003

Keywords

• nonn
• more

Links

• Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x). [From _Donovan Johnson_, Feb 18 2010]

Crossrefs

Cf. A000040, A000142, A000720, A003604.

Programs

Mathematica

Table[PrimePi[Prime[j]! ], {j, 1, 6}]

Formula

a(n) = A000720(A000142(A000040(n))).

a(n) = A003604(prime(n)). - Amiram Eldar, Jun 06 2024

Extensions

a(7) from Donovan Johnson, Dec 15 2009

a(8) from Donovan Johnson, Feb 18 2010

a(9) from the data at A003604 added by Amiram Eldar, Jun 06 2024