A135373 a(n) = prime(2^(n + 1)) - prime(2^n).

1, 4, 12, 34, 78, 180, 408, 900, 2052, 4490, 9702, 21010, 45144, 96486, 205590, 435548, 920896, 1938594, 4072946, 8535970, 17845982, 37242540, 77569570, 161300102, 334906956, 694329000, 1437620932, 2972973918, 6141189354, 12672042908, 26122458858, 53799031890

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Formula

a(n) = A033844(n+1) - A033844(n). - Jinyuan Wang, Nov 14 2020

Mathematica

Table[Prime[2^(n + 1)] - Prime[2^n], {n, 0, 40}]
#[[2]]-#[[1]]&/@Partition[Prime[2^Range[0, 30]], 2, 1] (* Harvey P. Dale, Feb 21 2015 *)

Prog

(PARI) a(n) = prime(2^(n + 1)) - prime(2^n); \\ Michel Marcus, Nov 15 2020

Crossrefs

Cf. A000040, A033844, A135371.

Sequence in context: A317974 A119683 A331834 * A338695 A209818 A094893

Adjacent sequences: A135370 A135371 A135372 * A135374 A135375 A135376

Keyword

nonn

Author

Marvin Ray Burns, Dec 09 2007

Extensions

a(29)-a(31) from Jinyuan Wang, Nov 14 2020

Status

approved