A139950 - OEIS

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A139950

Primes of the form 5x^2+77y^2.

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

(list; graph; refs; listen; history; text; internal format)

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

Adjacent sequences: A139947 A139948 A139949 * A139951 A139952 A139953

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved