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Numbers k that can be expressed as k = w + x = y*z with w*x = y^3 + z^3 where w, x, y, and z are all positive integers.
5

%I #10 May 03 2021 09:52:02

%S 64,81,96,140,153,162,288,294,561,588,972,1056,1250,1344,1881,2070,

%T 2205,2880,3125,3168,5073,5100,7500,7776,7840,10206,11466,11481,11840,

%U 15680,16416,19360,20384,21250,22833,24300,25070,27500,27885,31008,32805,33600,37664

%N Numbers k that can be expressed as k = w + x = y*z with w*x = y^3 + z^3 where w, x, y, and z are all positive integers.

%o (PARI) is(k) = fordiv(k, y, if(issquare(k^2 - 4*y^3 - 4*(k/y)^3), return(1))); 0; \\ _Jinyuan Wang_, May 02 2021

%Y Cf. A057369, A057370, A057371, A057373, A057443.

%K nonn

%O 1,1

%A _Naohiro Nomoto_, Sep 24 2000

%E New name and more terms from _Jinyuan Wang_, May 02 2021