A374150 a(n) is the (2^n)-th prime-indexed prime.

3, 5, 17, 67, 241, 739, 2063, 5441, 13693, 34351, 83617, 198479, 465337, 1076401, 2461873, 5582917, 12548171, 28018649, 62133769, 137034913, 300736621, 656953343, 1429360349, 3098240417, 6692967079, 14414137427, 30952936639, 66293412113, 141636592337, 301924957273

Offset

0,1

Comments

The data was calculated using Kim Walisch's primecount program.

Links

Amiram Eldar, Table of n, a(n) for n = 0..52

Kim Walisch, Fast C++ prime counting function implementation (primecount).

Wikipedia, Super-prime.

Formula

a(n) = A006450(2^n).

a(n) = A000040(A033844(n)).

Example

a(0) = 3 since prime(prime(2^0)) = prime(prime(1)) = prime(2) = 3.
a(1) = 5 since prime(prime(2^1)) = prime(prime(2)) = prime(3) = 5.

Mathematica

Table[Prime[Prime[2^n]], {n, 0, 30}]

Prog

(PARI) a(n) = prime(prime(2^n));

Crossrefs

Cf. A000040, A006450, A033844, A092252, A374151.

Sequence in context: A256438 A251737 A125957 * A378559 A259908 A137460

Adjacent sequences: A374147 A374148 A374149 * A374151 A374152 A374153

Keyword

nonn

Author

Amiram Eldar, Jun 29 2024

Status

approved