A134851 Number of primes between A001605(n) and A001605(n+1).

0, 1, 1, 1, 1, 1, 2, 1, 4, 1, 8, 9, 1, 39, 11, 1, 3, 10, 7, 1, 324, 208, 73, 442, 42, 498, 1122, 502, 508, 147, 1235, 2796, 2014, 2145, 1520, 4388, 15584, 2814, 11888, 274, 826, 24119, 8554, 16877, 24680, 11591, 11503, 63625, 22803, 6374, 92008, 115147, 79772, 157711, 3110

Offset: 1

Author

Artur Jasinski, Nov 13 2007

Keywords

• nonn

Crossrefs

Cf. A000045, A000720, A001605, A050937, A075737, A090819, A134787.

Programs

Mathematica

a = {}; k = {}; Do[If[PrimeQ[Fibonacci[n]], AppendTo[k, n]], {n, 1, 1000}]; Do[AppendTo[a, PrimePi[k[[n + 1]]] - PrimePi[k[[n]]]], {n, 1, 20}]; a

Formula

a(n) = primepi(A001605(n+1)) - primepi(A001605(n)). - Amiram Eldar, Sep 01 2019

Extensions

More terms from Amiram Eldar, Sep 01 2019 and Sep 15 2024