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A139872 Primes of the form 11x^2 + 15y^2. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 14 10:14 EDT 2021. Contains 342949 sequences. (Running on oeis4.)