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A180422 Largest prime immediately preceding a Fibonacci number. 4
2, 3, 7, 11, 19, 31, 53, 83, 139, 229, 373, 607, 983, 1583, 2579, 4177, 6763, 10939, 17707, 28649, 46351, 75017, 121379, 196387, 317797, 514219, 832003, 1346249, 2178283, 3524569, 5702867, 9227443, 14930341, 24157811, 39088157, 63245971 (list; graph; refs; listen; history; text; internal format)
OFFSET
4,1
COMMENTS
Limit ratio of two consecutive elements of this sequence is phi=1.61803... the golden ratio.
LINKS
EXAMPLE
a(7)=53 that is the prime number preceding 55=fib(10).
fib(1)=1, fib(2)=1 and fib(3)=2 are not accounted.
MATHEMATICA
NextPrime[#, -1]&/@Fibonacci[Range[4, 40]] (* Harvey P. Dale, Oct 31 2013 *)
PROG
(PARI) a(n)=precprime(fibonacci(n)-1)
CROSSREFS
Sequence in context: A211203 A350402 A158709 * A055502 A003173 A159262
KEYWORD
nonn
AUTHOR
Carmine Suriano, Sep 03 2010
EXTENSIONS
Program and cross-ref from Charles R Greathouse IV, Sep 08 2010
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)