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

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

Offset

1,2

Links

Table of n, a(n) for n=1..9.

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

Formula

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

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

Mathematica

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

Crossrefs

Cf. A000040, A000142, A000720, A003604.

Sequence in context: A007019 A327021 A186941 * A012007 A065753 A255926

Adjacent sequences: A082876 A082877 A082878 * A082880 A082881 A082882

Keyword

nonn,more

Author

Labos Elemer, Apr 16 2003

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

Status

approved