Consecutive Powerful Numbers/Mistake

Source Work

 * The Dictionary
 * $288$
 * $288$

Mistake

 * With $289$, the second pair of consecutive powerful numbers: $288 = 2^5 3^2$ and $289 = 17^2$. The smallest such pair is $8, 9$ and the next two pairs are $9800, 9801$ and $332, 928, \ 332, 929$.

The $3$rd pair is $675, 676$ which are reported in the entry against $675$. It may have been omitted because it is the odd pair out, being the only one known where the smaller element is odd.