Comment on Mathematicians Crack the Cursed CurveparentComments−sesqu8yThis article is about (mathematical) application. They applied Kim's algorithm to find all rational solutions to a particularly hairy equation.−colomon8yIf I read the article correctly, they already had all the solutions. They used the new approach to prove that there were no other solutions.−pcvpcvpcv8yThey didn't know they had all the solutions until they now proved there're no more solutions.
Comments
This article is about (mathematical) application. They applied Kim's algorithm to find all rational solutions to a particularly hairy equation.
If I read the article correctly, they already had all the solutions. They used the new approach to prove that there were no other solutions.
They didn't know they had all the solutions until they now proved there're no more solutions.