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Search: id:A139829
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| A139829 |
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Primes of the form 4x^2+4xy+11y^2. |
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+0
2
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| 11, 19, 59, 131, 139, 179, 211, 251, 331, 379, 419, 491, 499, 571, 619, 659, 691, 739, 811, 859, 971, 1019, 1051, 1091, 1171, 1259, 1291, 1451, 1459, 1499, 1531, 1571, 1579, 1619, 1699, 1811, 1931, 1979, 2011, 2099, 2131, 2179, 2251, 2339, 2371
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-160. See A139827 for more information.
Also, primes of form u^2+10v^2 with odd v, while A107145 has even v. One can transform its form as (2x+y)^2+10y^2 (where y can only be odd) and the latter is x^2+10(2y)^2. This sequence has primes {11,19} mod 20 while the second has {1,9} mod 20 and together they are the primes x^2+10y^2 (A033201) which are {1,9,11,20} mod 20. [From Tito Piezas III (tpiezas(AT)gmail.com), Jan 01 2009]
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FORMULA
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The primes are congruent to {11, 19} (mod 40).
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MATHEMATICA
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QuadPrimes[4, -4, 11, 10000] (* see A106856 *)
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CROSSREFS
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Sequence in context: A068493 A167535 A107201 this_sequence A138355 A080789 A057770
Adjacent sequences: A139826 A139827 A139828 this_sequence A139830 A139831 A139832
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 02 2008
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