A095150 a(n) = prime(2^(2^n) + 1).

5, 11, 59, 1621, 821647, 104484802069, 870566678511500413589

Offset

0,1

Comments

The k-th prime where k is the n-th Fermat number.

Links

Table of n, a(n) for n=0..6.

Andrew Booker, The Nth Prime Page.

Formula

From Amiram Eldar, Jul 11 2024: (Start)

a(n) = A000040(A000215(n)).

a(n) = A151800(A095124(n)). (End)

Example

a(2) = prime(2^(2^2)+1) = prime(17) = 59.

Prog

(PARI) f(n) = for(x=1, n, print1(prime(2^2^x+1)", "))

Crossrefs

Cf. A000040, A000215, A151800, A095124.

Sequence in context: A057822 A168243 A173875 * A215759 A041697 A121170

Adjacent sequences: A095147 A095148 A095149 * A095151 A095152 A095153

Keyword

nonn,more

Author

Cino Hilliard, Jun 20 2004

Extensions

a(5)-a(6) from Amiram Eldar, Jul 11 2024

Status

approved