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x3−44x2+556x−1805\Large x^3-44x^2+556x-1805x3−44x2+556x−1805
Let x1,x2,x3,…xnx_1,x_2,x_3,\dots x_nx1,x2,x3,…xn be the positive integers that make the above expression a (positive) prime number. Then, find the value of ∑i=1nxi \displaystyle \sum_{i=1}^n x_i i=1∑nxi.
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