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Template:Sequence of the Day for October 21

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Intended for: October 21, 2011

Timetable

  • First draft entered by Alonso del Arte on July 24, 2011
  • Draft to be reviewed by August 21, 2011
  • Draft to be approved by September 21, 2011
Yesterday's SOTD * Tomorrow's SOTD

The line below marks the end of the <noinclude> ... </noinclude> section.



Some Mordell curves in Grapher for Mac OS X.
A081119: Number of integral solutions to Mordell’s equation
y 2 = x 3 + n
.
{ 5, 2, 2, 2, 2, 0, 0, 7, 10, 2, ... }
Mordell’s equation has a finite number of integral solutions for all nonzero
n
. For example, for
n = 1
, there are five solutions: (2, –3), (0, –1), (–1, 0), (0, 1) and (2, 3). For
n = 2
to 5, there are just two solutions each and none for
n = 6
or 7.