# A number theory problem by Akshat Sharda

Number Theory Level 5

Let $$a=\dfrac{(n+3)^3}{n-1}$$ where $$a$$ and $$n$$ are integers.

Let the integral values of $$n$$ satisfying the above equation be $$n_{1},n_{2},n_{3}, \ldots, n_{m}$$.

Find $$\left(\displaystyle \sum^{m}_{p=1}n_{p}\right)+m$$.

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