问题啊，求各位大神解答啊

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For every positive even  integer n, the function h(n) is defined to be the product of all even integers from 2 to n ,inclusive. If p is the smallest prime factor of h(100)+1,then p is
答案是 greater than 40, 求各位高手解释啊，给个稍微详细点的过程哈，先行谢过了啊~~