login
Partial sums of A001605 indices of prime Fibonacci numbers.
0

%I #2 Mar 30 2012 18:40:50

%S 3,7,12,19,30,43,60,83,112,155,202,285,416,553,912,1343,1776,2225,

%T 2734,3303,3874,6845,11568,16955,26266,35943,50374,75935,106692,

%U 142691,180202,231035,312874,417785,547806,695897,897004,1294383,1728164

%N Partial sums of A001605 indices of prime Fibonacci numbers.

%C 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.

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

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

%K hard,nonn

%O 1,1

%A _Jonathan Vos Post_, Jan 25 2010