A139872 Primes of the form 11x^2 + 15y^2.

11, 59, 71, 179, 191, 251, 311, 419, 599, 719, 839, 911, 971, 1259, 1439, 1499, 1511, 1571, 1871, 2039, 2099, 2399, 2531, 2579, 2699, 2711, 2819, 3191, 3359, 3371, 3491, 3719, 3851, 4019, 4079, 4139, 4211, 4271, 4679, 4691, 4799, 4871, 4931

Offset

1,1

Comments

Discriminant = -660. 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 {11, 59, 71, 119, 179, 191, 251, 311, 419, 551, 599} (mod 660).

Mathematica

QuadPrimes2[11, 0, 15, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 660 in {11, 59, 71, 119, 179, 191, 251, 311, 419, 551, 599}]; // Vincenzo Librandi, Jul 30 2012
(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\11), w=11*x^2; for(y=0, sqrtint((lim-w)\15), if(isprime(t=w+15*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Mar 07 2017

Crossrefs

Sequence in context: A073720 A257364 A141302 * A165977 A214151 A273618

Adjacent sequences: A139869 A139870 A139871 * A139873 A139874 A139875

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved