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A107154 Primes of the form 3x^2+16y^2. 5
3, 19, 43, 67, 139, 163, 211, 283, 307, 331, 379, 499, 523, 547, 571, 619, 643, 691, 739, 787, 811, 859, 883, 907, 1051, 1123, 1171, 1291, 1459, 1483, 1531, 1579, 1627, 1699, 1723, 1747, 1867, 1987, 2011, 2083, 2131, 2179, 2203, 2251, 2347, 2371 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-192. See A107132 for more information.

Except for 3, also primes of the forms 4x^2+4xy+19y^2 and 16x^2+8xy+19y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

Appears to be primes of the form 19+24k and 3. - T. D. Noe, Apr 24 2008

Except for 3, the primes are congruent to 19 (mod 24). - T. D. Noe (noe(AT)sspectra.com), May 02 2008

MATHEMATICA

QuadPrimes[3, 0, 16, 10000] (* see A106856 *)

CROSSREFS

Cf. A139827.

Sequence in context: A141644 A141170 A141373 * A031393 A146672 A146704

Adjacent sequences:  A107151 A107152 A107153 * A107155 A107156 A107157

KEYWORD

nonn,easy

AUTHOR

T. D. Noe (noe(AT)sspectra.com), May 13 2005

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Last modified February 16 13:12 EST 2012. Contains 205909 sequences.