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  impossible equation
Posted:
Mar 28, 2013 2:32 PM


Consider the following equation for the given conditions.
a^(1/5).(2^m.T)^(1/5) = R^(1/2) (1)
Conditions: a, m,T,R are integers each >1 such that a, T odd and R is nonsquare; a, T coprime.
Conjecture: (1) has no solution.
Any comment upon the correctness of the conjecture will be appreciated.



