【摘要】 F.Smarandache教授曾提出求最大的正整数r,将集合{1 ,2 ,…,r}分为n类,使得在每一类中方程xy =z(x >1 ,y >1 )无解.确立并证明了r的下界,即r n9.更多还原

【Abstract】 Professor F.Smarandache asks us to find the maximum r such that: the set {1, 2, …, r} can be partitioned into n classes such that no class contains intgers x, y, z, with xy=z. The main purpose of this paper is to give a low bound estimate for r, and prove that rn 9.更多还原