S000255


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

S000255

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

© Tony D Noe 2014-2015