A135373 - OEIS

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

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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