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A045705 Primes of the form F(i)^2 + F(j)^3, where F() are Fibonacci numbers. 0

%I #6 May 18 2013 16:49:24

%S 2,5,17,31,449,521,953,39313,187111,974177,2989009,45804529,53603369,

%T 226981169,540660521,961504807,2149991549,5631736609,17253512729,

%U 18074736353,38580197099,101003831729,1311494070977,101503242568393

%N Primes of the form F(i)^2 + F(j)^3, where F() are Fibonacci numbers.

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

%t 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[ [ # ] ] ] & ] ] ] ]

%Y Cf. A000045.

%K nonn

%O 1,1

%A _Felice Russo_

%E More terms from _Robert G. Wilson v_, Aug 28 2001

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Last modified August 13 21:35 EDT 2024. Contains 375144 sequences. (Running on oeis4.)