It seems to me that the statement "for non-negative integer the sum of -th powers equaling a -th power has no solution in distinct nonzero integers if the number of terms in the sum ...
Sum of even powers conjecture – math.stackexchange.com
Johannes
It seems to me that the statement "for non-negative integer k the sum of 2k-th powers equaling a 2k-th power has no solution in distinct nonzero integers if the number of terms in the sum ...