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Search: id:A033217
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| A033217 |
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Primes of form x^2+23*y^2. |
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+0
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; listen)
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OFFSET
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1,1
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COMMENT
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If x>0, then tau(p) = 2 mod 23 - comment from Jud McCranie (j.mccranie(AT)comcast.net).
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
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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
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T. D. Noe, Table of n, a(n) for n=1..1000
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CROSSREFS
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Cf. A000594.
Sequence in context: A005111 A044125 A044506 this_sequence A142107 A107208 A055821
Adjacent sequences: A033214 A033215 A033216 this_sequence A033218 A033219 A033220
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KEYWORD
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nonn,nice
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AUTHOR
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njas
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