Sum of Cubes of 5 Consecutive Integers which is Square/Historical Note

Historical Note on Sum of Cubes of 5 Consecutive Integers which is Square
This result was originally published by in $1873$, where he wrote:


 * The sum of the cubes of $5$ consecutive numbers is never equal to a square, except for the solutions of which the middle numbers are $2$, $3$, $27$, $98$ or $120$.

Subsequently it was reported by, who made a mistake by omitting the $27$.

The erroneous sequence is still mistakenly published on occasion.