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A139830 Primes of the form 7x^2+6xy+7y^2. 2
7, 23, 47, 103, 127, 167, 223, 263, 367, 383, 463, 487, 503, 607, 647, 727, 743, 823, 863, 887, 967, 983, 1063, 1087, 1103, 1223, 1303, 1327, 1367, 1423, 1447, 1487, 1543, 1567, 1583, 1607, 1663, 1783, 1823, 1847, 2063, 2087, 2143, 2207, 2287 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-160. See A139827 for more information.

Also primes of the forms 7x^2+2xy+23y^2 and 7x^2+4xy+12y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

The primes are congruent to {7, 23} (mod 40).

MATHEMATICA

Union[QuadPrimes[7, 6, 7, 10000], QuadPrimes[7, -6, 7, 10000]] (* see A106856 *)

CROSSREFS

Sequence in context: A002146 A184882 A073577 * A153210 A185955 A158035

Adjacent sequences:  A139827 A139828 A139829 * A139831 A139832 A139833

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 17 11:42 EST 2012. Contains 206011 sequences.