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Cubes of the form prime(n)+n.
1

%I #23 Apr 24 2016 12:50:56

%S 8,27,1000,2744,4096,46656,68921,274625,941192,1295029,1481544,

%T 1906624,14886936,34328125,35937000,45882712,50243409,63521199,

%U 64000000,67917312,76225024,95443993,112678587,142236648,143877824,174676879,198155287,203297472,216000000

%N Cubes of the form prime(n)+n.

%C The cube root of the first 10 terms are: 2,3,10,14,16,36,41,65,98,109.

%H Giovanni Resta, <a href="/A272245/b272245.txt">Table of n, a(n) for n = 1..500</a>

%F a(n) = A014688(A076147(n)). - _Michel Marcus_, Apr 23 2016

%e prime(147) + 147 = 853 + 147 = 1000; which is 10^3.

%o (PARI) lista(nn) = {for (n=1, nn, if (ispower(p=n+prime(n), 3), print1(p, ", ")););} \\ _Michel Marcus_, Apr 23 2016

%Y Cf. A000578, A014688, A030078, A076147, A053149.

%K nonn

%O 1,1

%A _Emre APARI_, Apr 23 2016

%E a(20)-a(29) from _Giovanni Resta_, Apr 23 2016