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Search: id:A000923
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| A000923 |
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Primes p of the form 3k+1 such that the sum(x=1 to p) of cos(2*pi*x^3/p) is less than -sqrt(p).
(Formerly M5365 N2331)
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+0
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
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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H. Hasse, Vorlesungen \"uber 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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D. R. Heath-Brown, Kummer's Conjecture for Cubic Gauss Sums
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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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Cf. A000921, A000922, A002476.
Sequence in context: A161367 A073076 A157213 this_sequence A142528 A139500 A142094
Adjacent sequences: A000920 A000921 A000922 this_sequence A000924 A000925 A000926
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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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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), May 26 2007
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