A256499 Primes in the 9th-order Fibonacci numbers A127193.

17, 257, 260609, 16580657, 527972353, 1054904321, 33590968001, 267934222337, 2137144350721, 279308966066204560897, 4904838477959792746889087209953222309396481, 623502124433801536413569315448615191583313921, 9936775914719167257001281976859570231260282873

Offset

1,1

Comments

a(14) is too large to display here. It has 53 digits and is the 182nd term in A127193.

The b-file has 20 terms. The next term (a(21)) has 2073 digits. - Harvey P. Dale, Jan 20 2026

Links

Harvey P. Dale, Table of n, a(n) for n = 1..20

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.

OEIS Wiki, Index of Prime Fibonacci Numbers and Variants

OEIS Wiki, Index to OEIS Section Fi

Mathematica

a={1, 1, 1, 1, 1, 1, 1, 1, 1}; step=9; offset=1; lst={}; For[n=step+offset, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst, sum]]; a=RotateLeft[a]; a[[step]]=sum]; lst
Select[With[{c=Table[1, {9}]}, LinearRecurrence[c, c, 200]], PrimeQ] (* Harvey P. Dale, Jan 20 2026 *)

Crossrefs

Cf. A127193, A256498.

Sequence in context: A260072 A260407 A193329 * A217796 A014898 A048446

Adjacent sequences: A256496 A256497 A256498 * A256500 A256501 A256502

Keyword

nonn

Author

Robert Price, Mar 31 2015

Status

approved