A050793 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), and increasing values of y in case of ties. Sequence gives values of y.

10, 94, 144, 235, 438, 729, 1537, 1738, 1897, 2304, 3518, 4528, 5625, 8343, 9036, 9735, 11664, 11468, 19386, 21609, 31180, 35442, 36864, 33412, 38782, 35385, 41167, 44521, 51762, 59049, 50920, 72629, 76903, 83692, 67402, 80020, 90000

Offset

1,1

Comments

Values of y associated with A050794.

References

Ian Stewart, "Game, Set and Math", Chapter 8, 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.

Links

Lewis Mammel, Table of n, a(n) for n = 1..368

Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers

Example

For the 10th term where y is 2304, 577^3 + 2304^3 = 2316^3 + 1.

Crossrefs

Cf. A050791, A050792, A050794.

Sequence in context: A192901 A192902 A192903 * A281203 A369335 A126633

Adjacent sequences: A050790 A050791 A050792 * A050794 A050795 A050796

Keyword

nonn

Author

Patrick De Geest, Sep 15 1999

Extensions

More terms from Michel ten Voorde; no more with z<8192.

Extended through 44521 by Jud McCranie, Dec 25 2000

More terms from Don Reble, Nov 29 2001

Edited by N. J. A. Sloane, May 08 2007

Status

approved