5
$\begingroup$

Is there rational (or better integer) $a$ such that for all $n>4$,$x^n+a=y^2$ has no rational points?

Improve this question
$\endgroup$
2
  • $\begingroup$ Confusion warning: The question is about rational solutions. $\endgroup$
    – joro
    Commented Aug 23, 2018 at 14:42
  • 2
    $\begingroup$ According to M. Stoll's ratpoints program, a=6 seems to work, but I don't know if it is easy to prove. $\endgroup$
    – Henri Cohen
    Commented Aug 23, 2018 at 21:35

0

Reset to default

You must log in to answer this question.