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第一天1.求最小的正整数m,使得对于任意大于3的质数p,都有105|(9~p~2-29~p+m).(杨虎供题)2.证明:在正2n-1(n≥3)边形的顶点中,任意取出n个点,其中必有三个点,以它们为顶点的三角形为等腰三角形.
First Day 1. Find the smallest positive integer m such that for any prime p greater than 3, there are 105 | (9 ~ p ~ 2-29 ~ p + m) Among the vertices of the positive 2n-1 (n≥3) polygons, n points are randomly selected, of which there are three points. The triangle whose vertex is an isosceles triangle.