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Search: id:A050793
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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). Sequence gives values of y. |
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+0
5
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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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
David Wells, "Curious and Interesting Numbers", Revised Ed. 1997, Penguin Books, On number "729", p. 147.
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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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E.g. 577^3 + (2304)^3 = 2316^3 + 1.
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CROSSREFS
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Cf. A050791, A050792, A050794.
Sequence in context: A103944 A099295 A167589 this_sequence A126633 A125422 A163738
Adjacent sequences: A050790 A050791 A050792 this_sequence 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 (pdg(AT)worldofnumbers.com), Sep 15 1999.
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EXTENSIONS
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More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) No more with z<8192.
Extended through 44521 by Jud McCranie (j.mccranie(AT)comcast.net), Dec 25 2000
More terms from Don Reble (djr(AT)nk.ca), Nov 29 2001
Edited by N. J. A. Sloane (njas(AT)research.att.com), May 08 2007
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