A227829 Primes occurring in the Fibonacci sequences 2, 3, 5, ...; 5, 12, 29, ...; 10, 33, 109, ...; 17, 72, 305, ...; ..., where F(n) = m*F(n-1) + F(n-2) (n>2), with F(1) = 1, F(2) = positive integer m.

2, 3, 5, 13, 17, 29, 37, 89, 101, 109, 197, 233, 257, 401, 577, 677, 701, 1297, 1597, 1601, 2549, 2917, 3137, 4289, 4357, 5477, 5741, 7057, 8101, 8837, 10301, 12101, 13457, 14401, 15377, 15877, 16901

Offset

1,1

Comments

From a posting by Daniel Joyce to the Sequence Fans Mailing List, Jul 19 2013

A002496 is a subsequence of this sequence. - Hans Havermann, Aug 01 2013

Links

Hans Havermann, Table of n, a(n) for n = 1..6735

Hans Havermann, Table of n, a(n) for n = 1..54295, output of my Mathematica program (below)

Mathematica

t={}; Do[AppendTo[t, Select[Take[Table[If[n==0, a1=1; a0=0, a2=a1; a1=a0; a0=i*a1+a2], {n, 0, 60}], -58], #<10^12&]], {i, 999999}]; Select[Union[Flatten[t]], PrimeQ[#] &] (* Hans Havermann, Aug 01 2013 *)

Crossrefs

Cf. A000045 (m=1), A000129 (m=2), A006190 (m=3), A001076 (m=4), A002496.

Sequence in context: A242752 A215813 A235638 * A231481 A284669 A154554

Adjacent sequences: A227826 A227827 A227828 * A227830 A227831 A227832

Keyword

nonn

Author

N. J. A. Sloane, Aug 01 2013

Status

approved