\[\large\sum_{n=1}^{10007}\left(\frac{n(n+1)}{10009}\right) = \, ?\]

**Note:** In above summation expression , \(\large \left( \frac{a}{b} \right) \) denotes the Legendre symbol and it is **not** an ordinary fraction.

**Bonus:** Generalize this for arbitary odd primes.

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