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A107169 Primes of the form 3x^2+20y^2. +0
5
3, 23, 47, 83, 107, 167, 227, 263, 347, 383, 443, 467, 503, 563, 587, 647, 683, 743, 827, 863, 887, 947, 983, 1103, 1163, 1187, 1223, 1283, 1307, 1367, 1427, 1487, 1523, 1583, 1607, 1667, 1787, 1823, 1847, 1907, 2003, 2027, 2063, 2087, 2207 (list; graph; listen)
OFFSET

1,1

COMMENT

Discriminant=-240. See A107132 for more information.

Except for 3, also primes of the forms 2x^2+2xy+23y^2 (A139831) and 8x^2+4xy+23y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

Except for 3, the primes are congruent to {23, 47} (mod 60). - T. D. Noe (noe(AT)sspectra.com), May 02 2008

MATHEMATICA

QuadPrimes[3, 0, 20, 10000] (* see A106856 *)

CROSSREFS

Cf. A139827.

Sequence in context: A160022 A060651 A146592 this_sequence A032003 A031907 A082244

Adjacent sequences: A107166 A107167 A107168 this_sequence A107170 A107171 A107172

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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