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A191376
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Primes that can are the sum of two positive Fibonacci and the square of a positive Fibonacci number.
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0
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3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 59, 61, 67, 71, 73, 79, 83, 101, 103, 127, 149, 151, 173, 179, 191, 193, 211, 227, 229, 239, 263, 271, 313, 331, 347, 379, 383, 389, 433, 443, 449, 457, 463, 467, 491, 499, 509, 547, 587, 593, 601, 613, 617
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..57.
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EXAMPLE
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43 = fib(3) + fib(5) + fib(6)^2.
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MATHEMATICA
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f = Union[Table[Fibonacci[n], {n, 16}]]; t = Union[Flatten[Table[ f[[i]] + f[[j]] + f[[k]]^2, {i, Length[f]}, {j, Length[f]}, {k, Length[f]}]]]; Select[t, # <= f[[-1]] && PrimeQ[#] &] (* T. D. Noe, Jun 03 2011 *)
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CROSSREFS
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Cf. A000045, A000060.
Sequence in context: A215697 A138980 A191378 * A179429 A020615 A172146
Adjacent sequences: A191373 A191374 A191375 * A191377 A191378 A191379
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KEYWORD
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nonn
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AUTHOR
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Carmine Suriano, Jun 01 2011
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EXTENSIONS
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Corrected by T. D. Noe, Jun 03 2011
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STATUS
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approved
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