OFFSET
1,1
COMMENTS
Primes of the form F(k) + L(k+1), where F(k) and L(k) are the k-th Fibonacci number and Lucas number, respectively. - Rigoberto Florez, Jul 31 2022
a(36) has 852 digits, a(37) has 1052. - Michael S. Branicky, Jul 31 2022
LINKS
Michael S. Branicky, Table of n, a(n) for n = 1..36
Hsin-Yun Ching, Rigoberto Flórez, F. Luca, Antara Mukherjee, and J. C. Saunders, Primes and composites in the determinant Hosoya triangle, arXiv:2211.10788 [math.NT], 2022.
MATHEMATICA
Join[{3}, Select[#[[1]]+#[[6]]&/@Partition[Fibonacci[ Range[ 0, 200]], 6, 1], PrimeQ]] (* Harvey P. Dale, Sep 05 2021 *)
PROG
(Python)
from sympy import isprime, fibonacci as F, lucas as L
print([3]+list(filter(isprime, (F(k)+L(k+1) for k in range(1, 101)))))
# Michael S. Branicky, Jul 31 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
G. L. Honaker, Jr., Dec 23 2003
STATUS
approved