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Search: id:A033212
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| A033212 |
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Primes of form x^2+15*y^2. |
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27
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| 19, 31, 61, 79, 109, 139, 151, 181, 199, 211, 229, 241, 271, 331, 349, 379, 409, 421, 439, 499, 541, 571, 601, 619, 631, 661, 691, 709, 739, 751, 769, 811, 829, 859, 919, 991, 1009, 1021, 1039, 1051, 1069, 1129
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-60. Apparently the same as primes of the form x^2-xy+4y^2 and x^2-xy+19y^2, both with x and y nonnegative. Primes of the form x^2+xy+19y^2, with x and y nonnegative, coincides with this sequence for the first 34 terms. - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
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REFERENCES
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D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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FORMULA
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The primes are congruent to {1, 19} (mod 30). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
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CROSSREFS
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Adjacent sequences: A033209 A033210 A033211 this_sequence A033213 A033214 A033215
Sequence in context: A117065 A006035 A104485 this_sequence A104227 A032743 A106861
Cf. A106856, A139643.
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KEYWORD
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nonn,new
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AUTHOR
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njas
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