gwd 10-31

WTO

a possitive integer n is said to be prime-saturated if the product of all the different positive prime factors of n is less thatn the square root of n. what is the greatest two-digit prime-saturated integer?

ans 96

什么思路阿

topway7

PS:真的请大家帮帮忙，汇总贴的若没有或不清楚的，请尽量提出，若有的请先看汇总贴，提出时最好说明思路为何，那儿不懂，不但有助于大家帮助厘清思路，自己的受益才是最多的。

himba

先帮你把题目贴全：

A positive integer n is said to be "prime-saturated" if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two-digit prime-saturated integer?

A. 99 B. 98 C. 97 D. 96 E. 95

答案D

一个正整数n被称作prime-saturated的定义：如果n的所有不同的质数乘积<n的平方根

问：最大的2位数的prime-saturated

99: 3*11>3*根号11 98: 2*7>2*根号7 97: 1*97>根号97 96: 2*3<4*根号6 95: 5*19>根号95

只有96满足条件！故选D