%I #6 May 31 2017 15:08:20
%S 3,4,6,10,11,13,15,19,21,25,29,30,32,34,38,40,44,46,50,56,58,66,67,69,
%T 71,75,77,81,83,87,93,95,101,105,107,111,117,123,127,128,130,132,136,
%U 138,142,144,148,154,156,162,166,168,172,178,184,186,192,196,198,204
%N Numbers n such that n-LargestCube is prime, (LargestCube <= n).
%H Harvey P. Dale, <a href="/A176865/b176865.txt">Table of n, a(n) for n = 1..1000</a>
%e 3-1^3=2, 4-1^3=3, ..., 10-2^3=2, 11-2^3=3, ..., 29-3^3=2, ....
%t lst={};Do[p=n-Floor[n^(1/3)]^3;If[PrimeQ[p],AppendTo[lst,n]],{n,6!}];lst
%t Select[Range[300],PrimeQ[#-Floor[Surd[#,3]]^3]&] (* _Harvey P. Dale_, May 31 2017 *)
%o (PARI) is(n)=isprime(n - sqrtnint(n,3)) \\ _Charles R Greathouse IV_, May 22 2017
%Y Cf. A135932, A176864.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Apr 27 2010