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[求助]help!!!

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楼主
发表于 2009-4-20 22:06:00 | 只看该作者

[求助]help!!!

prep里的一道题,大意如下:

n为任意正偶数,h(n)表示从2到n的正偶数乘积。若p是h(100)+1的最小质因子,p的范围是:

2~10   ; 10~20  ; 20~30  ; 30~40 ;  >40.

答案是10~20.

哪位NN帮帮忙啊~~

沙发
 楼主| 发表于 2009-4-20 22:06:00 | 只看该作者
自己顶顶~~~
板凳
发表于 2009-4-21 00:04:00 | 只看该作者

243. For every positive even integer n, the function H(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of H(100)+1, the p is?

Greater than 40 ( i am not sure at all

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h (100) + 1, then p is
A. between 2 and 10
B. between 10 and 20
C. between 20 and 30
D. between 30 and 40

E. greater than 40

            

h(100)= 2*4*6............100
h(100)+1=2*4*6............100 +1
2(1*2*3.......50)+1
so when h(100)+1 is divided by any of the nos between 2 and 50 will leave a remainder 1.
2*50!+1 will not be divisible by any no <50
ANS E

地板
发表于 2009-4-21 00:05:00 | 只看该作者
prep的题 一般testmagic 都可以搜索到的
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