The S000256(n)-th prime.
19009, 27941, 313721, 3523969, 7460077, 14430049, 35624063, 42609139, 10749957121, 29067677393, 33010039649
1
T. D. Noe, Plot of 11 terms
(Mma) Prime[Select[Range[2, 1000000], Mod[Fibonacci[#], Prime[#]] == 0 &]]
Cf. A000045 (Fibonacci numbers), A075702.
nonn
T. D. Noe, Sep 16 2014