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A033222 Primes of form x^2+33*y^2. +0
5
37, 97, 157, 181, 229, 313, 397, 421, 433, 577, 661, 709, 757, 829, 1021, 1093, 1153, 1213, 1237, 1321, 1453, 1489, 1549, 1609, 1621, 1741, 1753, 1873, 2017, 2029, 2113, 2137, 2161, 2269, 2281, 2293 (list; graph; listen)
OFFSET

1,1

REFERENCES

D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.

FORMULA

The primes are congruent to {1, 25, 37, 49, 97} (mod 132). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008

MATHEMATICA

Clear[f, lst, p, x, y]; f[x_, y_]:=x^2+33*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<8234, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 05 2009]

QuadPrimes[1, 0, 33, 10000] (* see A106856 *)

CROSSREFS

Cf. A139643.

Sequence in context: A132360 A117854 A145480 this_sequence A098025 A142793 A139939

Adjacent sequences: A033219 A033220 A033221 this_sequence A033223 A033224 A033225

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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