A050790 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.

728, 2985983, 5088447, 128787624, 192100032, 387420488, 738763263, 1030300999, 1771560999, 12230590463, 29704593672, 52861038776, 177978515624, 224866629440, 308367729215, 659184444926, 1586874322943

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

Table of n, a(n) for n=1..17.

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

Example

575^3 + 2292^3 = 2304^3 - 1 = 12230590463.

Crossrefs

Cf. A050787, A050788, A050789.

Sequence in context: A085479 A203664 A265103 * A278609 A278894 A214106

Adjacent sequences: A050787 A050788 A050789 * A050791 A050792 A050793

Keyword

nonn

Author

Patrick De Geest, Sep 15 1999

Extensions

More terms from Jud McCranie, Dec 25 2000

Status

approved