A095223 - OEIS

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A095223

a(n) is the least Fibonacci number such that a(n) - a(n-1) is prime; a(0)=1.

1, 3, 5, 8, 13, 144, 233, 2584, 4181, 46368, 75025, 14930352, 7778742049, 18547707689471986212190138521399707760, 55835073295300465536628086585786672357234389

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OFFSET

0,2

COMMENTS

Conjecture: The sequence is infinite.

LINKS

Table of n, a(n) for n=0..14.

EXAMPLE

a(5)=144 because 21 - 13, 34 - 13, 55 - 13, 89 - 13 are composite (8,21,42,76), while 144 - 13 = 131 is prime.

MAPLE

with(combinat): a[0]:=1: for n from 1 to 17 do b:=proc(k) if isprime(fibonacci(k)-a[n-1])=true then fibonacci(k) else fi end: a[n]:=[seq(b(k), k=1..400)][1] od: seq(a[n], n=0..17); # Emeric Deutsch, Sep 03 2005

CROSSREFS

Cf. A000045.

Sequence in context: A296378 A177231 A259597 * A268515 A374084 A070948

Adjacent sequences: A095220 A095221 A095222 * A095224 A095225 A095226

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 10 2004

EXTENSIONS

More terms from Emeric Deutsch, Sep 03 2005

STATUS

approved