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Number of primes not exceeding the factorial of the n-th prime.
0

%I #16 Jun 06 2024 03:49:42

%S 1,3,30,675,2428956,289620751,10953617995740,3175094503778521,

%T 511050155316058710033

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

%H Tomás Oliveira e Silva, <a href="http://sweet.ua.pt/tos/primes.html">Tables of values of pi(x) and of pi2(x)</a>. [From _Donovan Johnson_, Feb 18 2010]

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

%F a(n) = A003604(prime(n)). - _Amiram Eldar_, Jun 06 2024

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

%Y Cf. A000040, A000142, A000720, A003604.

%K nonn,more

%O 1,2

%A _Labos Elemer_, Apr 16 2003

%E a(7) from _Donovan Johnson_, Dec 15 2009

%E a(8) from _Donovan Johnson_, Feb 18 2010

%E a(9) from the data at A003604 added by _Amiram Eldar_, Jun 06 2024