- #1
anemone
Gold Member
MHB
POTW Director
- 3,883
- 115
Suppose $X$ is a number of the form $\displaystyle X=\sum_{k=1}^{60} \epsilon_k \cdot k^{k^k}$, where each $\epsilon_k$ is either 1 or -1.
Prove that $X$ is not the fifth power of any integer.
Prove that $X$ is not the fifth power of any integer.