

A107144


Primes of the form 5x^2+8y^2.


3



5, 13, 37, 53, 157, 173, 197, 277, 293, 317, 373, 397, 557, 613, 653, 677, 733, 757, 773, 797, 853, 877, 997, 1013, 1093, 1117, 1213, 1237, 1277, 1373, 1453, 1493, 1597, 1613, 1637, 1693, 1733, 1877, 1933, 1973, 1997, 2053, 2213, 2237, 2293
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OFFSET

1,1


COMMENTS

Discriminant=160. See A107132 for more information.
Except for 5, also primes of the form 13x^2+8xy+32y^2. See A140633.  T. D. Noe, May 19 2008


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 {13, 37} (mod 40).  T. D. Noe, May 02 2008


MATHEMATICA

QuadPrimes2[5, 0, 8, 10000] (* see A106856 *)


PROG

(MAGMA) [5] cat [ p: p in PrimesUpTo(3000)  p mod 40 in {13, 37} ]; // Vincenzo Librandi, Jul 24 2012


CROSSREFS

Cf. A139827.
Sequence in context: A229924 A141408 A238460 * A137815 A089523 A058507
Adjacent sequences: A107141 A107142 A107143 * A107145 A107146 A107147


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 13 2005


STATUS

approved



