A178991 Primes that can be expressed as the sum of a Fibonacci number and the square of a Fibonacci number.

2, 3, 5, 7, 11, 17, 43, 59, 67, 313, 443, 449, 619, 991, 1051, 1601, 2143, 2593, 2609, 2753, 3169, 6829, 20749, 24917, 28661, 38447, 49393, 54323, 56873, 75029, 372121, 974177, 1346273, 1346333, 1718369, 1806209, 2178313, 2178373, 3524603, 3525019, 6683821

Offset

1,1

Comments

Any term is Fib(n)+Fib(m)*Fib(m).

Links

Table of n, a(n) for n=1..41.

Example

a(10) = 313 = 144+169 = Fib(12)+Fib(7)^2.

Mathematica

f=Fibonacci[Range[35]]; Select[Union[Flatten[Outer[Plus, f, f^2]]], # <= f[[-1]] + 1 && PrimeQ[#] &]

Crossrefs

Cf. A000040, A000045, A178576.

Sequence in context: A127435 A257110 A038887 * A240566 A067904 A018146

Adjacent sequences: A178988 A178989 A178990 * A178992 A178993 A178994

Keyword

nonn

Author

Carmine Suriano, Jan 12 2011

Extensions

Corrected by T. D. Noe, Jan 13 2011

Status

approved