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[Problem Solving]

试题详情

题目:

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

选项:

A、between 2 and 10
B、between 10 and 20
C、between 20 and 30
D、between 30 and 40
E、greater than 40

答案:

E

提问:

请问May老师,这一题我通过等比数列求和,算到 h(100)+1=2^51 -1,但是后面如何判断它的最小prime factor呢?麻烦老师解答,谢谢!

解答:

点赞2
阅读1521
解答: 徐小梅

提问:

请问May老师,这一题我通过等比数列求和,算到 h(100)+1=2^51 -1,但是后面如何判断它的最小prime factor呢?麻烦老师解答,谢谢!

解答:

点赞2
阅读1522
解答: 徐小梅老师

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