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A182487 Nextprime(F(n)) - prevprime(F(n)), where F(n) is the n-th Fibonacci number. 1
3, 4, 4, 6, 4, 6, 6, 14, 10, 10, 6, 6, 8, 18, 12, 24, 16, 10, 6, 12, 30, 12, 24, 42, 30, 24, 60, 24, 30, 34, 30, 36, 46, 12, 36, 18, 34, 24, 24, 30, 36, 52, 72, 16, 22, 48, 44, 50, 34, 20, 20, 28, 44, 50, 40, 92, 60, 86, 16, 52, 48, 66, 46, 168, 50, 174, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

COMMENTS

Smallest prime following Fibonacci(n) minus largest prime immediately preceding Fibonacci(n). Starting from Fibonacci(4), because for n<4 there is no prime preceding Fibonacci(n).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 4..1000

FORMULA

a(n) = A014208(n+4) - A180422(n).

EXAMPLE

a(0) = A014208(4) - A180422(0) = 5 - 2 = 3,

a(7) = A014208(11) - A180422(7) = 97-83 = 14.

MAPLE

a:= n-> (f-> nextprime(f)-prevprime(f))(combinat[fibonacci](n)):

seq(a(n), n=4..100);  # Alois P. Heinz, Jul 29 2015

MATHEMATICA

Table[f = Fibonacci[n]; NextPrime[f] - NextPrime[f, -1], {n, 4, 100}] (* T. D. Noe, May 02 2012 *)

CROSSREFS

Cf. A014208, A180422, A013633, A058043, A058054, A161503.

Cf. A079677 (distance from F(n) to the nearest prime).

Sequence in context: A059179 A279678 A222283 * A061117 A111234 A255171

Adjacent sequences:  A182484 A182485 A182486 * A182488 A182489 A182490

KEYWORD

nonn,easy

AUTHOR

Alex Ratushnyak, May 02 2012

STATUS

approved

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Last modified February 23 12:03 EST 2019. Contains 320431 sequences. (Running on oeis4.)