This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A050789 Consider the Diophantine equation x^3+y^3=z^3-1 (x

%I

%S 8,138,138,426,486,720,823,812,1207,2292,2820,3230,5610,5984,6702,

%T 8675,11646,11903,16806,17328,21588,24965,27630,36840,31212,37887,

%U 33857,34566,49409,46212,59022,66198,66167,56503,69479,64165,78244,89970

%N 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.

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

%D David Wells, "Curious and Interesting Numbers", Revised Ed. 1997, Penguin Books, On number "729", p. 147.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiophantineEquation3rdPowers.html">Diophantine Equation - 3rd Powers</a>

%e E.g. 575^3 + 2292^3 = 2304^3 - 1.

%Y Cf. A050787, A050788, A050790.

%K nonn

%O 1,1

%A _Patrick De Geest_, Sep 15 1999.

%E More terms from _Jud McCranie_, Dec 25 2000

%E More terms from Don Reble (djr(AT)nk.ca), Nov 29 2001

%E Edited by _N. J. A. Sloane_, Feb 22 2009

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .