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 A050789 Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y. 4
 8, 138, 138, 426, 486, 720, 823, 812, 1207, 2292, 2820, 3230, 5610, 5984, 6702, 8675, 11646, 11903, 16806, 17328, 21588, 24965, 27630, 36840, 31212, 37887, 33857, 34566, 49409, 46212, 59022, 66198, 66167, 56503, 69479, 64165, 78244, 89970 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 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. LINKS Jean-François Alcover, Table of n, a(n) for n = 1..60 Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers EXAMPLE 575^3 + 2292^3 = 2304^3 - 1. CROSSREFS Cf. A050787, A050788, A050790. Sequence in context: A145404 A101388 A281684 * A274669 A187236 A301835 Adjacent sequences: A050786 A050787 A050788 * A050790 A050791 A050792 KEYWORD nonn AUTHOR Patrick De Geest, Sep 15 1999 EXTENSIONS More terms from Jud McCranie, Dec 25 2000 More terms from Don Reble, Nov 29 2001 Edited by N. J. A. Sloane, Feb 22 2009 STATUS approved

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Last modified September 9 07:24 EDT 2024. Contains 375762 sequences. (Running on oeis4.)