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A033217
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Primes of form x^2+23*y^2.
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4
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23, 59, 101, 167, 173, 211, 223, 271, 307, 317, 347, 449, 463, 593, 599, 607, 691, 719, 809, 821, 829, 853, 877, 883, 991, 997, 1097, 1117, 1151, 1163, 1181, 1231, 1319, 1451, 1453, 1481, 1553, 1613, 1669
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| If x>0, then tau(p) = 2 mod 23 - comment from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu).
Also primes of the form x^2-xy+6y^2 with x and y nonnegative. - T. D. Noe (noe(AT)sspectra.com), May 07 2005
Primes p such that X^3-X+1 is split modulo p. E.g. X^3-X+1=(X-33)(X-40)(X-94) modulo 167. - Julien Freslon (julien.freslon(AT)wanadoo.fr), Feb 24 2007
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REFERENCES
| Lure of the Integers, Joe Roberts, "Integer 23 - the Tau function".
D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
| QuadPrimes[1, 0, 23, 10000] (* see A106856 *)
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CROSSREFS
| Cf. A000594.
Sequence in context: A179629 A044125 A044506 * A142107 A107208 A055821
Adjacent sequences: A033214 A033215 A033216 * A033218 A033219 A033220
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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