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A139845 Primes of the form 3x^2 + 35y^2. 1
3, 47, 83, 167, 227, 383, 467, 503, 563, 587, 647, 887, 983, 1223, 1307, 1427, 1487, 1823, 1847, 1907, 2063, 2243, 2267, 2663, 2687, 2903, 3023, 3083, 3167, 3323, 3407, 3527, 3863, 3923, 3947, 4007, 4283, 4583, 4703, 4787, 5003, 5087, 5507 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -420. 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 {3, 47, 83, 143, 167, 227, 383} (mod 420).

MATHEMATICA

QuadPrimes2[3, 0, 35, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(6000) | p mod 420 in {3, 47, 83, 143, 167, 227, 383}]; // Vincenzo Librandi, Jul 29 2012

(PARI) list(lim)=my(v=List([3]), s=[47, 83, 143, 167, 227, 383]); forprime(p=47, lim, if(setsearch(s, p%420), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017

CROSSREFS

Sequence in context: A178466 A227171 A055058 * A084295 A141850 A003551

Adjacent sequences:  A139842 A139843 A139844 * A139846 A139847 A139848

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified October 16 23:30 EDT 2019. Contains 328103 sequences. (Running on oeis4.)