

A172115


Partial sums of A001605 indices of prime Fibonacci numbers.


0



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
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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



