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A107167 Primes of the form 5x^2 + 12y^2. 2
5, 17, 53, 113, 137, 173, 197, 233, 257, 293, 317, 353, 557, 593, 617, 653, 677, 773, 797, 857, 953, 977, 1013, 1097, 1193, 1217, 1277, 1373, 1433, 1493, 1553, 1613, 1637, 1697, 1733, 1877, 1913, 1973, 1997, 2153, 2213, 2237, 2273, 2297, 2333 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Discriminant = -240. See A107132 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 5, the primes are congruent to {17, 53} (mod 60). - T. D. Noe, May 02 2008
MATHEMATICA
QuadPrimes2[5, 0, 12, 10000] (* see A106856 *)
PROG
(Magma) [5] cat [p: p in PrimesUpTo(3000) | p mod 60 in [17, 53]]; // Vincenzo Librandi, Jul 25 2012
(PARI) list(lim)=my(v=List([5]), t); forprime(p=17, lim, t=p%60; if(t==17||t==53, listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017
CROSSREFS
Cf. A139827.
Sequence in context: A037544 A090575 A191139 * A201478 A176470 A240693
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 13 2005
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)