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
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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
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