A182600 Run length of the n-th run of Fibonacci composites.

1, 3, 1, 3, 5, 5, 13, 3, 35, 47, 5, 221, 71, 1, 15, 59, 59, 1, 2399, 1751, 663, 3923, 365, 4753, 11129, 5195, 5241, 1511, 13321, 31005, 23071, 25109, 18069, 53015, 196271, 36401, 156259, 3647, 11021, 326805, 118379, 235709, 350399, 167051, 165661, 935631

Offset

1,2

Comments

There is no upper bound to the entries: F_{k*n} is divisible by F_k, so whenever integers j, j+1, ..., j+n are composite (and > 4), F_j, ..., F_{j+n} are also composite. - Robert Israel, Nov 19 2010

Links

Table of n, a(n) for n=1..46.

Formula

a(n) = A001605(n+3)-A001605(n+2)-1.

Example

The first run contains A000045(6), the second A000045(8..10), the third A000045(12), the fourth A000045(14..16).

Crossrefs

Cf. A000045, A001605.

Sequence in context: A016646 A345943 A342342 * A371928 A179760 A334852

Adjacent sequences: A182597 A182598 A182599 * A182601 A182602 A182603

Keyword

nonn

Author

R. J. Mathar, Nov 22 2010

Status

approved