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.

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

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