Question 314826
There are only two sets of consecutive integers with squares that add up to 245.
{{{(-10)^2+(-9)^2+(-8)^2=100+81+64=245}}} and {{{8^2+9^2+10^2=64+81+100=245}}}
The sum of the squares of a set of less than 3 or more than 3 consecutive integers is never 245.
The sum of the squares of 15 or more consecutive integers is always more than 245.