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A033216 Primes of form x^2+22*y^2. +0
5
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)
OFFSET

1,1

REFERENCES

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

FORMULA

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

MATHEMATICA

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 *)

CROSSREFS

Cf. A139643.

Sequence in context: A130796 A031924 A162587 this_sequence A139837 A145375 A086547

Adjacent sequences: A033213 A033214 A033215 this_sequence A033217 A033218 A033219

KEYWORD

nonn

AUTHOR

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

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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