A139915 Primes of the form 5x^2+56y^2.

5, 61, 101, 181, 229, 269, 349, 461, 509, 661, 829, 941, 1021, 1069, 1109, 1181, 1301, 1669, 1741, 1861, 1949, 2029, 2141, 2309, 2341, 2621, 2749, 2789, 2861, 3181, 3461, 3541, 3701, 3709, 3821, 3989, 4021, 4261, 4549, 4861, 5101, 5309

Offset

1,1

Comments

Discriminant=-1120. 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

Except for 5, the primes are congruent to {61, 69, 101, 181, 229, 269} (mod 280).

Mathematica

QuadPrimes2[5, 0, 56, 10000] (* see A106856 *)

Prog

(Magma) [5] cat [ p: p in PrimesUpTo(6000) | p mod 280 in [61, 69, 101, 181, 229, 269]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A326726 A367337 A141967 * A174053 A107191 A321616

Adjacent sequences: A139912 A139913 A139914 * A139916 A139917 A139918

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved