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Search: id:A000921
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| A000921 |
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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 greater than sqrt(p).
(Formerly M4398 N1854)
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+0
3
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| 7, 31, 43, 67, 73, 79, 103, 127, 163, 181, 223, 229, 271, 277, 307, 313, 337, 349, 409, 421, 439, 457, 463, 499, 523, 577, 643, 661, 673, 691, 709, 727, 757, 769, 811, 823, 829, 853, 877, 919, 967, 991, 997, 1021, 1069, 1087, 1093, 1117, 1123, 1171, 1213
(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.
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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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7 is here because the sum of cos(2*pi*x^3/7) = 4.7409 > sqrt(7).
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CROSSREFS
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Cf. A000922, A000923, A002476.
Sequence in context: A040064 A000696 A128028 this_sequence A135659 A031388 A105428
Adjacent sequences: A000918 A000919 A000920 this_sequence A000922 A000923 A000924
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), May 26 2007
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