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A000923
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Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).
(Formerly M5365 N2331)
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3
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97, 139, 151, 199, 211, 331, 433, 541, 547, 601, 607, 631, 751, 787, 937, 1039, 1063, 1249, 1321, 1327, 1381, 1471, 1483, 1663, 1693, 1741, 1747, 1879, 1999, 2113, 2143, 2377, 2437, 2503, 2521, 2557, 2593, 2677, 2797, 2857, 2887, 3019, 3121, 3313, 3331, 3361
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OFFSET
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1,1
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REFERENCES
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H. Hasse, Vorlesungen über Zahlentheorie. Springer-Verlag, NY, 1964, p. 482.
G. B. Mathews, Theory of Numbers, 2nd edition. Chelsea, NY, p. 228.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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EXAMPLE
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97 is here because the sum of cos(2*Pi*x^3/97) = -11.3259 < -sqrt(97).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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