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A033209
Primes of form x^2 + 11*y^2.
5
11, 47, 53, 103, 163, 199, 257, 269, 311, 397, 401, 419, 421, 499, 587, 599, 617, 683, 757, 773, 863, 883, 907, 911, 929, 991, 1021, 1087, 1109, 1123, 1181, 1237, 1291, 1307, 1367, 1433, 1439, 1543, 1567, 1571, 1609, 1621, 1697, 1699, 1753, 1873, 1907, 2003
OFFSET
1,1
COMMENTS
Primes p such that the polynomial x^3-x^2-x-1 mod p has 3 zeros. Compare A106279. - T. D. Noe, May 02 2005
REFERENCES
David A. Cox, "Primes of the Form x^2 + n y^2", Wiley, 1989.
LINKS
Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from Vincenzo Librandi)
Tim Evink, Paul Alexander Helminck, Tribonacci numbers and primes of the form p=x^2+11y^2, arXiv:1801.04605 [math.NT], 2018.
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)
MATHEMATICA
QuadPrimes2[1, 0, 11, 10000] (* see A106856 *)
CROSSREFS
Primes in A243651.
Sequence in context: A361888 A179786 A238584 * A107216 A158809 A279768
KEYWORD
nonn,easy
EXTENSIONS
Extended by T. D. Noe, Apr 17 2012
STATUS
approved