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A139847 Primes of the form 6x^2+6xy+19y^2. +0
2
19, 31, 139, 199, 271, 439, 619, 691, 811, 859, 1039, 1231, 1279, 1291, 1399, 1459, 1531, 1699, 1879, 1951, 2131, 2239, 2371, 2539, 2551, 2659, 2719, 2791, 2971, 3079, 3331, 3391, 3499, 3559, 3631, 3919, 4051, 4219, 4231, 4339, 4591, 4639 (list; graph; listen)
OFFSET

1,1

COMMENT

Discriminant=-420. See A139827 for more information.

Also primes of the forms 19x^2+12xy+24y^2 and 19x^2+16xy+31y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

The primes are congruent to {19, 31, 139, 199, 271, 391} (mod 420).

MATHEMATICA

QuadPrimes[6, -6, 19, 10000] (* see A106856 *)

CROSSREFS

Sequence in context: A106861 A107168 A125602 this_sequence A087764 A146691 A146784

Adjacent sequences: A139844 A139845 A139846 this_sequence A139848 A139849 A139850

KEYWORD

nonn,easy

AUTHOR

T. D. Noe (noe(AT)sspectra.com), May 02 2008

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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