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A139858 Primes of the form 8x^2+8xy+17y^2. +0
3
17, 113, 137, 233, 257, 353, 593, 617, 857, 953, 977, 1097, 1193, 1217, 1433, 1553, 1697, 1913, 2153, 2273, 2297, 2393, 2417, 2633, 2657, 2753, 2777, 2897, 3137, 3257, 3593, 3617, 3833, 4073, 4217, 4337, 4457, 4673, 4793, 4817, 4937, 5153 (list; graph; listen)
OFFSET

1,1

COMMENT

Discriminant=-480. See A139827 for more information.

Also primes of the form 17x^2+14xy+17y^2, which has discriminant=-960. - T. D. Noe (noe(AT)sspectra.com), May 07 2008

Also primes of the forms 17x^2+16xy+32y^2 and 17x^2+6xy+57y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008

FORMULA

The primes are congruent to {17, 113} (mod 120).

MATHEMATICA

QuadPrimes[8, -8, 17, 10000] (* see A106856 *)

CROSSREFS

Sequence in context: A141921 A157099 A108649 this_sequence A139903 A105127 A142403

Adjacent sequences: A139855 A139856 A139857 this_sequence A139859 A139860 A139861

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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