A265160 a(n) = 2^n + prime(n).

4, 7, 13, 23, 43, 77, 145, 275, 535, 1053, 2079, 4133, 8233, 16427, 32815, 65589, 131131, 262205, 524355, 1048647, 2097225, 4194383, 8388691, 16777305, 33554529, 67108965, 134217831, 268435563, 536871021, 1073741937, 2147483775, 4294967427, 8589934729

Offset: 1

Author

Vincenzo Librandi, Dec 03 2015

Keywords

• nonn
• easy

Comments

a(n) is odd for n>1. The first few primes in this sequence are 7, 13, 23, 43, 4133, 8233, 16427, 8388691, ... . - Wesley Ivan Hurt, Dec 05 2015

Crossrefs

Cf. A000040, A000079, A100484, A111209.

Programs

Magma

[NthPrime(n) + 2^n: n in [1..40]];

Maple

A265160:=n->2^n + ithprime(n): seq(A265160(n), n=1..40); # Wesley Ivan Hurt, Dec 05 2015

Mathematica

Table[2^n + Prime[n], {n, 40}]

PARI

a(n) = 2^n + prime(n); \\ Altug Alkan, Dec 03 2015

Formula

From Wesley Ivan Hurt, Dec 05 2015: (Start)

a(n) = A000079(n) + A000040(n), for n>0.

a(n) = A100484(n) + A111209(n). (End)