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Search: id:A050794
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| A050794 |
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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 x^3+y^3=z^3+1. For corresponding values of x, y, z see A050792, A050793, A050791 respectively. |
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+0
5
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| 1729, 1092728, 3375001, 15438250, 121287376, 401947273, 3680797185, 6352182209, 7856862273, 12422690497, 73244501505, 145697644729, 179406144001, 648787169394, 938601300672, 985966166178, 1594232306569
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Note that a(1)=1729 is the Hardy-Ramanujan number. [From Omar E. Pol (info(AT)polprimos.com), Jan 28 2009]
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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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Uwe Hollerbach, Table of n, a(n) for n = 1..74
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 = 12422690497.
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CROSSREFS
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Cf. A050791, A050792, A050793.
Sequence in context: A154716 A154728 A033502 this_sequence A138130 A048949 A130876
Adjacent sequences: A050791 A050792 A050793 this_sequence A050795 A050796 A050797
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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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Extended through 1594232306569 by Jud McCranie (j.mccranie(AT)comcast.net), Dec 25 2000
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