8. The numbers $1059, 1417, 2312$ leave the same remainder when divided by $d$, $d>1$, then the integer $d=$

保留了源文本的换行和格式。
8. 179 Hint: From the problem, we have:
$$
\begin{array}{l}
d \mid 1417-1059 \\
d \mid 2312-1417
\end{array}
$$

So $d \mid 2 \times 179, d \mid 5 \times 179$.
So $d \mid (2 \times 179, 5 \times 179)$.
So $d \mid 179$, and since $d > 1$, and 179 is a prime number.
So $d = 179$.