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Omni-MATH / Find an n such that n!−(n−1)!+(n−2)!−(n−3)!+⋯±1 ! is prime. Be prepared to justify your answer for left{begin{array}{c}n, {left[frac{n+225}{10}right],}end{array} n leq 25right. po…

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problem

Find an nn such that n!−(n−1)!+(n−2)!−(n−3)!+⋯±1n!-(n-1)!+(n-2)!-(n-3)!+\cdots \pm 1 ! is prime. Be prepared to justify your answer for $\left\{\begin{array}{c}n, \\ {\left[\frac{n+225}{10}\right],}\end{array} n \leq 25\right.$ points, where [N][N] is the greatest integer less than NN.
Plain-text mathematical notation (without MathML)
Find an n such that n!−(n−1)!+(n−2)!−(n−3)!+⋯±1 ! is prime. Be prepared to justify your answer for $\left\{\begin{array}{c}n, \\ {\left[\frac{n+225}{10}\right],}\end{array} n \leq 25\right.$ points, where [N] is the greatest integer less than N.
Original LaTeX notation
Find an $n$ such that $n!-(n-1)!+(n-2)!-(n-3)!+\cdots \pm 1$ ! is prime. Be prepared to justify your answer for $\left\{\begin{array}{c}n, \\ {\left[\frac{n+225}{10}\right],}\end{array} n \leq 25\right.$ points, where $[N]$ is the greatest integer less than $N$.

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