A139978 Primes of the form 5x^2+152y^2.

5, 157, 197, 277, 397, 557, 613, 653, 733, 757, 853, 997, 1013, 1213, 1277, 1373, 1453, 1493, 1597, 1613, 1733, 1973, 2053, 2213, 2357, 2437, 2477, 2557, 2677, 2797, 2837, 3037, 3253, 3557, 3733, 3797, 3877, 4013, 4253, 4357, 4493, 4637

Offset

1,1

Comments

Discriminant=-3040. 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, 77, 93, 157, 197, 213, 237, 253, 277, 397, 453, 517, 533, 557, 613, 653, 693, 733, 757, 837, 853, 917, 957, 973, 997, 1013, 1037, 1157, 1213, 1277, 1293, 1317, 1373, 1413, 1453, 1493, 1517, 1597, 1613, 1677, 1717, 1733, 1757, 1773, 1797, 1917, 1973, 2037, 2053, 2077, 2133, 2173, 2213, 2253, 2277, 2357, 2373, 2437, 2477, 2493, 2517, 2533, 2557, 2677, 2733, 2797, 2813, 2837, 2893, 2933, 2973, 3013, 3037} (mod 3040).

Mathematica

QuadPrimes2[5, 0, 152, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [5, 77, 93, 157, 197, 213, 237, 253, 277, 397, 453, 517, 533, 557, 613, 653, 693, 733, 757, 837, 853, 917, 957, 973, 997, 1013, 1037, 1157, 1213, 1277, 1293, 1317, 1373, 1413, 1453, 1493, 1517, 1597, 1613, 1677, 1717, 1733, 1757, 1773, 1797, 1917, 1973, 2037, 2053, 2077, 2133, 2173, 2213, 2253, 2277, 2357, 2373, 2437, 2477, 2493, 2517, 2533, 2557, 2677, 2733, 2797, 2813, 2837, 2893, 2933, 2973, 3013, 3037]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A225165 A151577 A032391 * A304147 A305487 A305087

Adjacent sequences: A139975 A139976 A139977 * A139979 A139980 A139981

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved