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A258262 Cubes that are a sum of the cubes of three primes.

%I A258262 #32 May 25 2017 22:06:54
%S A258262 128787625,153130375,356400829,647214625,1102302937,1115157653,
%T A258262 1214767763,1454419637,3463512697,14796346375,18630700451,21184951663,
%U A258262 21323063917,21740999671,24820429213,29704593673,32005984375,38580208939,51770001583,53540005609,68769820673,74352915125,89374579111,94507253875,113872553423
%N A258262 Cubes that are a sum of the cubes of three primes.
%C A258262 See comment in A258865.
%H A258262 Chai Wah Wu, <a href="/A258262/b258262.txt">Table of n, a(n) for n = 1..367</a>
%e A258262 .   n |          a(n)
%e A258262 . ----+----------------------------------------------------
%e A258262 .   1 |     128787625 |   505^3 |  59^3 + 163^3 + 499^3
%e A258262 .   2 |     153130375 |   535^3 |  349^3 + 379^3 + 383^3
%e A258262 .   3 |     356400829 |   709^3 |  193^3 + 461^3 + 631^3
%e A258262 .   4 |     647214625 |   865^3 |  11^3 + 607^3 + 751^3
%e A258262 .   5 |    1102302937 |  1033^3 |  599^3 + 691^3 + 823^3
%e A258262 .   6 |    1115157653 |  1037^3 |  59^3 + 233^3 + 1033^3
%e A258262 .   7 |    1214767763 |  1067^3 |  97^3 + 269^3 + 1061^3
%e A258262 .   8 |    1454419637 |  1133^3 |  577^3 + 797^3 + 911^3
%e A258262 .   9 |    3463512697 |  1513^3 |  337^3 + 967^3 + 1361^3
%e A258262 .  10 |   14796346375 |  2455^3 |  1049^3 + 1789^3 + 1993^3
%e A258262 .  11 |   18630700451 |  2651^3 |  281^3 + 1889^3 + 2281^3
%e A258262 .  12 |   21184951663 |  2767^3 |  103^3 + 2179^3 + 2213^3
%e A258262 .  13 |   21323063917 |  2773^3 |  331^3 + 467^3 + 2767^3
%e A258262 .  14 |   21740999671 |  2791^3 |  769^3 + 1879^3 + 2447^3
%e A258262 .  15 |   24820429213 |  2917^3 |  31^3 + 1951^3 + 2591^3
%e A258262 .  16 |   29704593673 |  3097^3 |  1237^3 + 2081^3 + 2659^3
%e A258262 .  17 |   32005984375 |  3175^3 |  809^3 + 1789^3 + 2953^3
%e A258262 .  18 |   38580208939 |  3379^3 |  641^3 + 1993^3 + 3121^3
%e A258262 .  19 |   51770001583 |  3727^3 |  1399^3 + 1667^3 + 3541^3
%e A258262 .  20 |   53540005609 |  3769^3 |  11^3 + 1783^3 + 3631^3
%e A258262 .  21 |   68769820673 |  4097^3 |  1187^3 + 1861^3 + 3929^3
%e A258262 .  22 |   74352915125 |  4205^3 |  1657^3 + 1697^3 + 4019^3
%e A258262 .  23 |   89374579111 |  4471^3 |  1931^3 + 3163^3 + 3697^3
%e A258262 .  24 |   94507253875 |  4555^3 |  521^3 + 2833^3 + 4153^3
%e A258262 .  25 |  113872553423 |  4847^3 |  593^3 + 1237^3 + 4817^3  .
%o A258262 (Haskell)
%o A258262 a258262 n = a258262_list !! (n-1)
%o A258262 a258262_list = filter ((== 1) . a010057) a258865_list
%Y A258262 Cf. A010057, A258865, A030078, A048766.
%K A258262 nonn
%O A258262 1,1
%A A258262 _Reinhard Zumkeller_, Jun 13 2015