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 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. 1
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified April 17 02:36 EDT 2024. Contains 371756 sequences. (Running on oeis4.)