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A139860 Primes of the form 12x^2+12xy+13y^2. +0
3
13, 37, 157, 277, 373, 397, 613, 733, 757, 853, 877, 997, 1093, 1117, 1213, 1237, 1453, 1597, 1693, 1933, 2053, 2293, 2437, 2557, 2677, 2797, 2917, 3037, 3253, 3373, 3517, 3613, 3637, 3733, 3853, 3877, 4093, 4357, 4597, 4813, 4933, 4957 (list; graph; listen)
OFFSET

1,1

COMMENT

Discriminant=-480. See A139827 for more information.

Also primes of the forms 13x^2+2xy+37y^2 and 13x^2+4xy+28y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

The primes are congruent to {13, 37} (mod 120).

MATHEMATICA

QuadPrimes[12, -12, 13, 10000] (* see A106856 *)

CROSSREFS

Sequence in context: A155252 A155297 A155903 this_sequence A036570 A147615 A155241

Adjacent sequences: A139857 A139858 A139859 this_sequence A139861 A139862 A139863

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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