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A139950
Primes of the form 5x^2+77y^2.
1
5, 97, 157, 257, 313, 353, 397, 433, 577, 773, 797, 1013, 1153, 1193, 1237, 1277, 1433, 1637, 1697, 1753, 1973, 2113, 2357, 2677, 2693, 2777, 2897, 2953, 2957, 3037, 3433, 3457, 3617, 3793, 3853, 3877, 4073, 4093, 4217, 4273, 4357, 4493
OFFSET
1,1
COMMENTS
Discriminant=-1540. 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 {5, 97, 157, 213, 257, 313, 353, 377, 397, 433, 493, 537, 573, 577, 713, 773, 797, 817, 873, 993, 1013, 1137, 1153, 1193, 1237, 1277, 1357, 1413, 1417, 1433, 1497} (mod 1540).
MATHEMATICA
QuadPrimes2[5, 0, 77, 10000] (* see A106856 *)
PROG
(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [5, 97, 157, 213, 257, 313, 353, 377, 397, 433, 493, 537, 573, 577, 713, 773, 797, 817, 873, 993, 1013, 1137, 1153, 1193, 1237, 1277, 1357, 1413, 1417, 1433, 1497]]; // Vincenzo Librandi, Aug 02 2012
CROSSREFS
Sequence in context: A208253 A284664 A194609 * A102734 A350516 A342443
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 02 2008
STATUS
approved