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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.

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  • $\begingroup$ This is Mordell's equation. For elementary solutions, see here. See also the references here. $\endgroup$
    – Dietrich Burde
    Jun 5, 2015 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, 2015 at 0:53
  • $\begingroup$ I see - you can ask him perhaps (with a comment below his answer). $\endgroup$
    – Dietrich Burde
    Jun 6, 2015 at 8:51
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    $\begingroup$ 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
    Jun 6, 2015 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, 2015 at 14:19

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