Given that n⁵ = 133⁵ + 110⁵ + 84⁵ + 27⁵.
Find that value of n using only pen and paper.

(In reply to An interesting reference by broll)

Euler conjectured that at least n n-th powers are required for <IMG class=inlineformula border=0 alt="n>2" src="http://mathworld.wolfram.com/images/equations/EulersSumofPowersConjecture/Inline3.gif" width=29 height=14> to provide a sum that is itself an n-th power. 

 

Please edit your 3rd-from-the-bottom line: fifth into k-th.

Posted by Ady TZIDON on 2013-01-07 05:31:43