Question

Write $1041$ as the difference of the square of two consecutive natural numbers.

Answer 1

Let $x$ and $x+1$ are two consecutive numbers.

According to given question,

${(x+1)}^2-x^2=1041$

$x^2-x^2+1+2x=1041$

$2x=1041-1$

$2x=1040$

$x=520$

And $x+1=520+1=521$

Hence, this is the answer.