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Search: id:A050790
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| A050790 |
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Consider the Diophantine equation x^3+y^3=z^3-1 (x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence give values of x^3+y^3=z^3-1. |
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4
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| 728, 2985983, 5088447, 128787624, 192100032, 387420488, 738763263, 1030300999, 1771560999, 12230590463, 29704593672, 52861038776, 177978515624, 224866629440, 308367729215, 659184444926, 1586874322943
(list; graph; listen)
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OFFSET
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0,1
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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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Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers
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EXAMPLE
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E.g. 575^3 + 2292^3 = 2304^3 - 1 = 12230590463.
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CROSSREFS
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Cf. A050787, A050788, A050789.
Sequence in context: A050219 A051383 A085479 this_sequence A045791 A088035 A054259
Adjacent sequences: A050787 A050788 A050789 this_sequence A050791 A050792 A050793
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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 Jud McCranie (j.mccranie(AT)comcast.net), Dec 25 2000
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