Search: id:A007490
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%I A007490 M3036
%S A007490 3,17,29,43,73,127,179,197,251,277,281,307,349,359,397,433,521,547,
%T A007490 557,577,593,701,757,811,853,857,863,881,919,953,1009,1051,1091,1217,
%U A007490 1249,1367,1459,1483
%N A007490 Primes of form x^3 + y^3 + z^3.
%C A007490 Heath-Brown shows that this sequence is infinite. [From Charles R Greathouse 
               IV Jul 23 2009]
%D A007490 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007490 W. Sierpi\'{n}ski, A Selection of Problems in the Theory of Numbers. 
               Macmillan, NY, 1964, p. 108.
%H A007490 T. D. Noe, <a href="b007490.txt">Table of n, a(n) for n = 1..10000</a>
%H A007490 D. R. Heath-Brown, <a href="http://eprints.maths.ox.ac.uk/168/">Primes 
               represented by x^3 + 2y^3</a>. Acta Mathematica 186 (2001), pp. 1-84. 
               [From Charles R Greathouse IV Jul 23 2009]
%t A007490 lst={};Do[Do[Do[p=n^3+m^3+k^3;If[PrimeQ[p],AppendTo[lst,p]],{n,4!}],{m,
               4!}],{k,4!}];Take[Union[lst],36] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               May 23 2009]
%Y A007490 Sequence in context: A007348 A105912 A106085 this_sequence A022887 A063715 
               A105411
%Y A007490 Adjacent sequences: A007487 A007488 A007489 this_sequence A007491 A007492 
               A007493
%K A007490 nonn
%O A007490 1,1
%A A007490 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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