Wikipedia:Reference desk/Archives/Mathematics/2021 June 4
Mathematics desk | ||
---|---|---|
< June 3 | << May | June | Jul >> | June 5 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
June 4
editAn elementary proof is there
editHow to show that "For the equation , it's impossible to have integral values for "x" & "y" when "n" is any positive integer>1".? — Preceding unsigned comment added by Rajesh Bhowmick (talk • contribs)
- I have cleaned up the formatting of your question for you. Apparently the result you mention (a special case of Catalan's conjecture) was proved by Victor-Amédée Lebesgue in 1850. Our article on Catalan's conjecture gives the reference Victor-Amédée Lebesgue (1850), "Sur l'impossibilité, en nombres entiers, de l'équation ", Nouvelles annales de mathématiques, 1re série, 9: 178–181. The paper is available from Numdam, here. --JBL (talk) 18:25, 4 June 2021 (UTC)
- You need to require that Otherwise solves the equation for all --Lambiam 21:57, 4 June 2021 (UTC)
- For even 'n' it is quite obvious that the problem has only a trivial solution. Ruslik_Zero 15:50, 5 June 2021 (UTC)