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A178991 Primes that can be expressed as the sum of a Fibonacci number and the square of a Fibonacci number. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A068868 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

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Last modified September 24 15:46 EDT 2022. Contains 356943 sequences. (Running on oeis4.)