A141088 a(n) = prime(2^n) - 2*n.

1, 3, 13, 45, 121, 299, 705, 1603, 3653, 8141, 17841, 38849, 83991, 180475, 386063, 821609, 1742503, 3681095, 7754039, 16290007, 34135987, 71378525, 148948093, 310248193, 645155147, 1339484145, 2777105075, 5750078991, 11891268343, 24563311249, 50685770105

Offset

1,2

Links

Table of n, a(n) for n=1..31.

Formula

a(n) = A033844(n) - A005843(n).

Example

a(1) = prime(2^1) - 2*1 = prime(2) - 2 = 3 - 2 = 1;
a(4) = prime(2^4) - 2*4 = prime(16) - 8 = 53 - 8 = 45.

Maple

seq(ithprime(2^n)-2*n, n=1..24); # Emeric Deutsch, Aug 27 2008

Mathematica

Table[Prime[2^n]-2n, {n, 30}] (* Harvey P. Dale, Oct 11 2014 *)

Prog

(PARI) a(n) = prime(2^n) - 2*n; \\ Michel Marcus, Mar 25 2019

Crossrefs

Cf. A033844, A005843.

Sequence in context: A136520 A212416 A058934 * A187915 A115128 A140420

Adjacent sequences: A141085 A141086 A141087 * A141089 A141090 A141091

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jul 31 2008

Extensions

Corrected and extended by Emeric Deutsch, Aug 27 2008

More terms from Harvey P. Dale, Oct 11 2014

Status

approved