login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 6

%I #39 Nov 30 2019 09:05:01

%S 10,94,144,235,438,729,1537,1738,1897,2304,3518,4528,5625,8343,9036,

%T 9735,11664,11468,19386,21609,31180,35442,36864,33412,38782,35385,

%U 41167,44521,51762,59049,50920,72629,76903,83692,67402,80020,90000

%N 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.

%C Values of y associated with A050794.

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

%H Lewis Mammel, <a href="/A050793/b050793.txt">Table of n, a(n) for n = 1..368</a>

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

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

%Y Cf. A050791, A050792, A050794.

%K nonn

%O 1,1

%A _Patrick De Geest_, Sep 15 1999

%E More terms from _Michel ten Voorde_; no more with z<8192.

%E Extended through 44521 by _Jud McCranie_, Dec 25 2000

%E More terms from _Don Reble_, Nov 29 2001

%E Edited by _N. J. A. Sloane_, May 08 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 29 18:55 EDT 2024. Contains 375518 sequences. (Running on oeis4.)