A182569 Primes that have two terms in their Zeckendorf representation.

7, 11, 23, 29, 37, 47, 97, 149, 157, 199, 241, 379, 521, 613, 631, 1021, 1741, 2207, 3571, 9349, 10949, 11933, 17713, 46381, 46457, 46601, 50549, 75169, 196439, 203183, 214129, 560597, 832129, 2178343, 3010349, 3531343, 14930441, 15444581, 16276621, 24157961

Offset

1,1

Comments

Primes of the form Fibonacci(x)+Fibonacci(y), x-y>1.

Links

Table of n, a(n) for n=1..40.

Formula

Intersection of A000040 and A179242. - Michel Marcus, May 28 2013

Example

7 = 5+2. 11=8+3. 23=21+2. 29 =21+8.

Mathematica

nn = 40; f = Fibonacci[Range[nn]]; ps = {}; Do[ps = Union[ps, Select[f[[k]] + Delete[f, {{k-1}, {k}, {k+1}}], PrimeQ]], {k, 4, nn-1}]; ps (* T. D. Noe, May 08 2012 *)

Crossrefs

Cf. A014417, A179242-A179253, A182535, A182570-A182574.

Sequence in context: A103667 A033207 A095084 * A067790 A271043 A089056

Adjacent sequences: A182566 A182567 A182568 * A182570 A182571 A182572

Keyword

nonn

Author

Alex Ratushnyak, May 05 2012

Extensions

More terms from T. D. Noe, May 08 2012

Status

approved