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A000922
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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 between -sqrt(p) and +sqrt(p).
(Formerly M4890 N2096)
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2
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13, 19, 37, 61, 109, 157, 193, 241, 283, 367, 373, 379, 397, 487, 571, 613, 619, 733, 739, 859, 883, 907, 1009, 1033, 1051, 1129, 1153, 1201, 1291, 1297, 1303, 1399, 1429, 1453, 1459, 1489, 1549, 1669, 1699, 1753, 1783, 1831, 1861, 1933, 1951
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| 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
| D. R. Heath-Brown, Kummer's Conjecture for Cubic Gauss Sums
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EXAMPLE
| 13 is here because the sum of cos(2*pi*x^3/13) = 1.8217, between -sqrt(13) and +sqrt(13).
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CROSSREFS
| Cf. A000921, A000923, A002476.
Sequence in context: A057749 A040070 A048523 * A107188 A029478 A096455
Adjacent sequences: A000919 A000920 A000921 * A000923 A000924 A000925
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Edited by Don Reble (djr(AT)nk.ca), May 26 2007
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