The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A091157 Primes occurring in the sequence 3, 1, 4, 5, 9, 14, 23, ... (A000285 prefixed with 3). 3
 3, 5, 23, 37, 97, 157, 1741, 11933, 50549, 214129, 560597, 16276621, 180510493, 398386576261, 1042989597313, 41305516996050613, 174972977841043309, 13300248193487978669, 238663270054423392193, 624828552868675407173 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Apart from the initial 3, primes of the form F(k) + F(k+5), where F(k) is a Fibonacci number. - Paolo P. Lava, Jul 19 2012 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 Cf. A091158, A000285. Cf. A000062, A000045. Sequence in context: A238199 A296927 A215132 * A199336 A214876 A280273 Adjacent sequences: A091154 A091155 A091156 * A091158 A091159 A091160 KEYWORD nonn AUTHOR G. L. Honaker, Jr., Dec 23 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 4 13:47 EST 2023. Contains 360055 sequences. (Running on oeis4.)