A172115 Partial sums of A001605 indices of prime Fibonacci numbers.

3, 7, 12, 19, 30, 43, 60, 83, 112, 155, 202, 285, 416, 553, 912, 1343, 1776, 2225, 2734, 3303, 3874, 6845, 11568, 16955, 26266, 35943, 50374, 75935, 106692, 142691, 180202, 231035, 312874, 417785, 547806, 695897, 897004, 1294383, 1728164

Offset

1,1

Comments

Primes in this sequence include a(1) = 3, a(2) = 7, a(4) = 19, a(6) = 43, a(8) = 83. Because the underlying sequence is hard, so is this, and so it is hard to determine if there is ever another such prime sum of indices of prime Fibonacci numbers.

Links

Table of n, a(n) for n=1..39.

Example

a(20) = 3 + 4 + 5 + 7 + 11 + 13 + 17 + 23 + 29 + 43 + 47 + 83 + 131 + 137 + 359 + 431 + 433 + 449 + 509 + 569 = 3303.

Crossrefs

Cf. A001605, A001578, A005478, A086597, A080345.

Sequence in context: A039677 A011899 A002498 * A328655 A091369 A036698

Adjacent sequences: A172112 A172113 A172114 * A172116 A172117 A172118

Keyword

hard,nonn

Author

Jonathan Vos Post, Jan 25 2010

Status

approved