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A191378
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Primes that are the sum of a positive Fibonacci, a positive Fibonacci number squared, and a positive Fibonacci number cubed.
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1
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3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 67, 73, 83, 101, 107, 127, 131, 137, 139, 149, 151, 163, 173, 179, 181, 191, 197, 199, 211, 223, 239, 251, 269, 307, 349, 359, 367, 379, 383, 389, 443, 449, 457, 463, 503, 521, 523, 547, 557, 569, 571
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OFFSET
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1,1
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LINKS
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EXAMPLE
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41 = fib(7) + fib(1)^2 + fib(4)^3.
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MATHEMATICA
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f = Union[Table[Fibonacci[n], {n, 15}]]; t = Union[Flatten[Table[ f[[i]] + f[[j]]^2 + f[[k]]^3, {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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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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