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A107327 Prime Fibonacci sequence: each term is the prime with index equal to the sum of the previous two terms. 2
2, 3, 11, 43, 251, 1931, 19237, 239347, 3627181, 65467067, 1381237531, 33547347529, 926069157329, 28743895441379 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..14.

FORMULA

a(n) = prime(a(n-1) + a(n-2)); a(1) = 2; a(2) = 3.

EXAMPLE

a(5) = prime(11 + 43) = prime(54) = 251.

MATHEMATICA

t = {2, 3}; Do[AppendTo[t, Prime[t[[-1]] + t[[-2]]]], {9}]; t (* T. D. Noe, May 09 2013 *)

nxt[{a_, b_}]:={b, Prime[a+b]}; NestList[nxt, {2, 3}, 13][[All, 1]] (* Harvey P. Dale, Jul 18 2020 *)

PROG

(PARI) a(n) = if(n<3, prime(n), prime(a(n-1) + a(n-2)));

vector(10, n, a(n)) \\ Altug Alkan, Oct 02 2015

CROSSREFS

Cf. A000040, A000045, A225504.

Sequence in context: A051087 A051081 A051093 * A162101 A128455 A260159

Adjacent sequences:  A107324 A107325 A107326 * A107328 A107329 A107330

KEYWORD

nonn,more

AUTHOR

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), May 22 2005

EXTENSIONS

Corrected terms a(7)-a(11) - Alex Ratushnyak, May 09 2013

a(12)-a(14) from Amiram Eldar, Feb 03 2019

STATUS

approved

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Last modified September 20 13:19 EDT 2020. Contains 337264 sequences. (Running on oeis4.)