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Search: id:A033216
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| A033216 |
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Primes of form x^2+22*y^2. |
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+0
5
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| 23, 31, 47, 71, 89, 97, 103, 113, 137, 191, 199, 223, 257, 311, 313, 353, 367, 383, 401, 433, 449, 463, 487, 521, 577, 599, 617, 631, 641, 647, 719, 727, 751, 823, 839, 863, 881, 911, 929, 977, 983, 991, 1039
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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FORMULA
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The primes are congruent to {1, 9, 15, 23, 25, 31, 47, 49, 71, 81} (mod 88). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
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MATHEMATICA
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Clear[f, lst, p, x, y]; f[x_, y_]:=x^2+22*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<8168, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 250] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[1, 0, 22, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139643.
Sequence in context: A130796 A031924 A162587 this_sequence A139837 A145375 A086547
Adjacent sequences: A033213 A033214 A033215 this_sequence A033217 A033218 A033219
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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