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A139867 Primes of the form 2x^2 + 2xy + 83y^2. 2
2, 83, 107, 167, 227, 263, 347, 503, 563, 743, 827, 887, 1163, 1187, 1223, 1283, 1427, 1487, 1583, 1667, 1823, 1847, 2063, 2087, 2207, 2243, 2543, 2903, 3167, 3203, 3407, 3467, 3527, 3803, 3863, 3923, 4127, 4463, 4523, 4583, 4703, 4787 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -660. See A139827 for more information.

LINKS

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

FORMULA

The primes are congruent to {2, 83, 107, 167, 227, 263, 347, 503, 527, 563, 623} (mod 660).

MATHEMATICA

QuadPrimes2[2, -2, 83, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(5000) | p mod 660 in {2, 83, 107, 167, 227, 263, 347, 503, 527, 563, 623}]; // Vincenzo Librandi, Jul 30 2012

CROSSREFS

Sequence in context: A263365 A140157 A285689 * A260674 A090434 A062603

Adjacent sequences:  A139864 A139865 A139866 * A139868 A139869 A139870

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified September 24 08:09 EDT 2021. Contains 347623 sequences. (Running on oeis4.)