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A227880 Primes in the union of all n-Fibonacci sequences. 2
2, 3, 5, 7, 13, 29, 31, 61, 89, 127, 149, 233, 401, 509, 773, 1021, 1597, 4093, 8191, 16381, 28657, 31489, 128257, 131071, 514229, 524287, 1048573, 4194301, 5976577, 16777213, 433494437, 536870909, 2147483647, 2971215073, 4293722117, 5350220959, 13435170943 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Price and T. D. Noe, Table of n, a(n) for n = 1..127 (first 62 terms from Robert Price)

Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas n-step Sequences, J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4

FORMULA

Primes in A124168.

MATHEMATICA

plst = {}; plimit=10^39; For[n = 2, n ≤ 1 + Log[2, plimit], n++, flst = {}; For[i = 1, i < n, i++, AppendTo[flst, 0]]; AppendTo[flst, 1]; For[k = 2, k ≤ 1 + Log[GoldenRatio, plimit*Sqrt[5] + 0.5], k++, sum = 0; For[j = 0, j < n, j++, sum = sum + flst[[j + k - 1]]]; AppendTo[flst, sum]; If[sum ≤ plimit && PrimeQ[sum], AppendTo[plst, sum]]]]; Union[plst]

CROSSREFS

Cf. A124168, A000045, A000073, A000078, A001591, A001592, A124257.

Sequence in context: A270391 A172508 A272107 * A167134 A071905 A306317

Adjacent sequences:  A227877 A227878 A227879 * A227881 A227882 A227883

KEYWORD

nonn

AUTHOR

Robert Price, Oct 25 2013

STATUS

approved

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)