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A139926 Primes of the form 13x^2+24y^2. 1
13, 37, 109, 229, 349, 397, 421, 541, 613, 661, 709, 733, 853, 877, 1021, 1237, 1549, 1597, 1669, 1789, 1861, 2221, 2269, 2293, 2437, 2749, 2797, 2917, 3037, 3061, 3109, 3229, 3373, 3469, 3517, 3541, 3733, 3853, 4093, 4357, 4597, 4621, 4789 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Discriminant=-1248. 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 13, the primes are congruent to {37, 85, 109, 229, 253, 301} (mod 312).
MATHEMATICA
QuadPrimes2[13, 0, 24, 10000] (* see A106856 *)
PROG
(Magma) [13] cat [ p: p in PrimesUpTo(6000) | p mod 312 in [37, 85, 109, 229, 253, 301]]; // Vincenzo Librandi, Aug 02 2012
CROSSREFS
Sequence in context: A155263 A155228 A126367 * A155259 A155308 A166101
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 02 2008
STATUS
approved

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Last modified August 29 13:31 EDT 2024. Contains 375517 sequences. (Running on oeis4.)