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

Author

Patrick De Geest, Sep 15 1999

Keywords

• nonn

Examples

			575^3 + 2292^3 = 2304^3 - 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

Crossrefs

Cf. A050787, A050788, A050790.

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