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Fifth powers (Posted on 2013-01-06) Difficulty: 3 of 5
Given that n5 = 1335 + 1105 + 845 + 275.
Find that value of n using only pen and paper.

No Solution Yet Submitted by Danish Ahmed Khan    
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Hints/Tips re: An interesting reference | Comment 3 of 8 |
(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
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