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A050793
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Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y.
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6
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10, 94, 144, 235, 438, 729, 1537, 1738, 1897, 2304, 3518, 4528, 5625, 8343, 9036, 9735, 11664, 11468, 19386, 21609, 31180, 35442, 36864, 33412, 38782, 35385, 41167, 44521, 51762, 59049, 50920, 72629, 76903, 83692, 67402, 80020, 90000
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OFFSET
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1,1
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COMMENTS
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Values of y associated with A050794.
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REFERENCES
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Ian Stewart, "Game, Set and Math", Chapter 8, 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
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LINKS
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Lewis Mammel, Table of n, a(n) for n = 1..368
Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers
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EXAMPLE
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For the 10th term where y is 2304, 577^3 + 2304^3 = 2316^3 + 1.
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CROSSREFS
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Cf. A050791, A050792, A050794.
Sequence in context: A192901 A192902 A192903 * A281203 A126633 A125422
Adjacent sequences: A050790 A050791 A050792 * A050794 A050795 A050796
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest, Sep 15 1999
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EXTENSIONS
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More terms from Michel ten Voorde; no more with z<8192.
Extended through 44521 by Jud McCranie, Dec 25 2000
More terms from Don Reble, Nov 29 2001
Edited by N. J. A. Sloane, May 08 2007
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STATUS
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approved
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