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Search: id:A007490
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| A007490 |
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Primes of form x^3 + y^3 + z^3.
(Formerly M3036)
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+0
3
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| 3, 17, 29, 43, 73, 127, 179, 197, 251, 277, 281, 307, 349, 359, 397, 433, 521, 547, 557, 577, 593, 701, 757, 811, 853, 857, 863, 881, 919, 953, 1009, 1051, 1091, 1217, 1249, 1367, 1459, 1483
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Heath-Brown shows that this sequence is infinite. [From Charles R Greathouse IV Jul 23 2009]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
W. Sierpi\'{n}ski, A Selection of Problems in the Theory of Numbers. Macmillan, NY, 1964, p. 108.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..10000
D. R. Heath-Brown, Primes represented by x^3 + 2y^3. Acta Mathematica 186 (2001), pp. 1-84. [From Charles R Greathouse IV Jul 23 2009]
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MATHEMATICA
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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]
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CROSSREFS
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Sequence in context: A007348 A105912 A106085 this_sequence A022887 A063715 A105411
Adjacent sequences: A007487 A007488 A007489 this_sequence A007491 A007492 A007493
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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