I was trying to solve $x^2+1=y^3$ and found this answer: Does an elementary solution exist to $x^2+1=y^3$?

but I'm having trouble understanding it.

In the second last paragraph, why is there a contradiction ($\textrm{mod}\ 49$) ?

Any help would be much appreciated.

  • $\begingroup$ This is Mordell's equation. For elementary solutions, see here. See also the references here. $\endgroup$ – Dietrich Burde Jun 5 '15 at 17:46
  • $\begingroup$ @Dietrich Burde I know what mordell equation is but I'm specifically interested in Slade's solution. $\endgroup$ – sacch Jun 6 '15 at 0:53
  • $\begingroup$ I see - you can ask him perhaps (with a comment below his answer). $\endgroup$ – Dietrich Burde Jun 6 '15 at 8:51
  • 1
    $\begingroup$ I read this question and spent some time reading Slade's answer, and I couldn't get it either. I've dropped him a comment. $\endgroup$ – shardulc says Reinstate Monica Jun 6 '15 at 20:52
  • $\begingroup$ @shardulc Thanks a lot! I hope he could fix his answer because I really like his solution. $\endgroup$ – sacch Jun 9 '15 at 14:19

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