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%I #12 May 21 2017 23:58:42
%S 88073,195905,196057,196841,205102,211466,610903,747209,809966,
%T 1078622,1543267,1828441,1967402,2143783,2312029,2803501,3055258,
%U 3108673,3244466,3477629,3662567,4237577,4770137,5741074,5835593,5908889,7189265,7497118,8438249,8742781
%N Semiprimes which are the sum of three distinct positive cubes of semiprime numbers in two or more distinct ways.
%C 610903 = 74^3+55^3+34^3 = 82^3+39^3+6^3.
%C 88073 = 29*3037 = 21^3+33^3+35^3 = 25^3+26^3+38^3. - _Chai Wah Wu_, May 20 2017
%H Chai Wah Wu, <a href="/A180106/b180106.txt">Table of n, a(n) for n = 1..10000</a>
%t f[n_] := PrimeOmega@ n == 2; lst = {}; Do[Do[Do[If[And[f[a], f[b], f[c], f[p = a^3 + b^3 + c^3]], AppendTo[lst, p]], {c, b - 1, 1, -1}], {b, a - 1, 1, -1}], {a, 200}]; lst1 = Sort@ lst; lst = {}; Do[If[lst1[[n]] == lst1[[n + 1]], AppendTo[lst, lst1[[n]]]], {n, Length[lst1] - 1}]; lst (* Corrected by _Michael De Vlieger_, May 21 2017 *)
%Y Cf. A011541, A024974, A025400, A122723, A180088, A180089, A180099
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Aug 10 2010
%E Terms corrected by _Chai Wah Wu_, May 20 2017