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Numbers n such that the n-th prime + n is a cube.
2

%I #14 Apr 23 2016 14:37:40

%S 3,8,147,355,503,4417,6288,22234,69229,93068,105397,133205,908767,

%T 1993176,2081117,2619491,2853730,3559940,3585297,3792049,4228461,

%U 5228796,6117140,7624645,7707795,9260828,10435784,10691791,11323477

%N Numbers n such that the n-th prime + n is a cube.

%C n such that the n-th prime + n is a square gives A064371.

%H Giovanni Resta, <a href="/A076147/b076147.txt">Table of n, a(n) for n = 1..500</a>

%e 3 is OK because 3+prime(3)=3+5=2^3.

%o (PARI) isok(n) = ispower(prime(n)+n, 3); \\ _Michel Marcus_, Oct 02 2013

%Y Cf. A064371.

%K nonn

%O 1,1

%A _Zak Seidov_, Nov 02 2002

%E a(9)-a(29) from _Donovan Johnson_, Jul 02 2010