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Euler was wrong (Posted on 2022-07-06) Difficulty: 4 of 5
The great Euler conjected, inter alia, that at least n powers of positive integers are needed to get a sum which is a n-th power as well.
It is up to you to find a set of integers {a,b,c,d,e} such that a^5+b^5+c^5+d^5=e^5.

REM: If unable to provide a proof, present the current state of known solutions for 4th and 5th powers. AFAIK no solution for the 6th power exists so far.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectAlisha Dean2022-10-25 10:02:42
SolutionCurrent State of Known Solutions for 4th and 5th PowersK Sengupta2022-07-06 21:32:58
Solutioncomputer solutionCharlie2022-07-06 12:04:20
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