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A045705 Primes of the form F(i)^2 + F(j)^3, where F() are Fibonacci numbers. 0
2, 5, 17, 31, 449, 521, 953, 39313, 187111, 974177, 2989009, 45804529, 53603369, 226981169, 540660521, 961504807, 2149991549, 5631736609, 17253512729, 18074736353, 38580197099, 101003831729, 1311494070977, 101503242568393 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..24.

FORMULA

For example, a(2)=17 because 17=2^3+3^2

MATHEMATICA

f = Table[ Fibonacci[ i ], {i, 1, 100} ]; g = Union[ Flatten[ Table[ f[ [ i ] ]^2 + f[ [ j ] ]^3, {i, 1, 100}, {j, 1, 100} ] ] ]; Table[ g[ [ Select[ Range[ 1000 ], PrimeQ[ g[ [ # ] ] ] & ] ] ] ]

CROSSREFS

Cf. A000045.

Sequence in context: A269018 A066649 A075345 * A125822 A025537 A245784

Adjacent sequences:  A045702 A045703 A045704 * A045706 A045707 A045708

KEYWORD

nonn

AUTHOR

Felice Russo

EXTENSIONS

More terms from Robert G. Wilson v, Aug 28 2001

STATUS

approved

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Last modified October 23 11:52 EDT 2021. Contains 348212 sequences. (Running on oeis4.)