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Search: id:A000922
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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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+0
3
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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; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. Hasse, Vorlesungen \"uber Zahlentheorie. Springer-Verlag, NY, 1964, p. 482.
G. B. Mathews, Theory of Numbers, 2nd edition. Chelsea, NY, p. 228.
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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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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
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Cf. A000921, A000923, A002476.
Sequence in context: A057749 A040070 A048523 this_sequence A107188 A029478 A102907
Adjacent sequences: A000919 A000920 A000921 this_sequence A000923 A000924 A000925
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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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