The number of primes up to n divides the n-th Fibonacci number.
2, 3, 24, 30, 42, 96, 100, 112, 120, 144, 156, 168, 180, 243, 252,260, 264, 285, 300, 315, 342, 360, 370, 462, 480, 504, 540, 550, 608,660, 675, 680, 690, 735, 792, 816, 828, 882, 936, 980, 1008, 1068,1080, 1260, 1320, 1380, 1386, 1440, 1470, 1560, 1672
1
Compare with S000256.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) Select[Range[2, 1000000], Mod[Fibonacci[#], PrimePi[#]] == 0 &, 100]
Cf. A000045 (Fibonacci numbers).
nonn
T. D. Noe, Sep 16 2014