Talk:Henry Ernest Dudeney/Puzzles and Curious Problems/127 - Find the Squares/Solution

It should be clarified that Dudeney want us to find the positive number $125$. Otherwise, by observing:

$64 = 13 + 15 + 17 + 19 = 1 + 3 + \dots + 15$

and using the odd number theorem, we can find that the negative numbers $-64$ and $-100$ satisfy the conditions as well.

Fortunately no more integers satisfy this since squares are nonnegative.

--RandomUndergrad (talk) 16:11, 21 January 2022 (UTC)

Fair comment. I have added such to the solution. --prime mover (talk) 18:12, 21 January 2022 (UTC)