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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 gives values of x^3+y^3=z^3-1.
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3
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728, 2985983, 5088447, 128787624, 192100032, 387420488, 738763263, 1030300999, 1771560999, 12230590463, 29704593672, 52861038776, 177978515624, 224866629440, 308367729215, 659184444926, 1586874322943
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| 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
| Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers
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EXAMPLE
| E.g. 575^3 + 2292^3 = 2304^3 - 1 = 12230590463.
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CROSSREFS
| Cf. A050787, A050788, A050789.
Sequence in context: A203909 A085479 A203664 * A045791 A088035 A054259
Adjacent sequences: A050787 A050788 A050789 * A050791 A050792 A050793
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KEYWORD
| nonn
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
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EXTENSIONS
| More terms from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Dec 25 2000
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