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Yes and no (Posted on 2012-01-21) Difficulty: 3 of 5
The equation 1^x+2^x+3^x+4^x+5^x+ ... x^x=y^y has a trivial solution : x=y=1
Prove the uniqueness of this solution or provide additional solution(s) if x is a positive integer and y is:

a) integer as well
b) a fractional number
c) an irrational number
d) a complex (non-real) number

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
musingsJer2012-01-22 02:00:19
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