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标题: PREP数学一道题求解谢谢!! [打印本页]

作者: viviansecret    时间: 2012-11-29 07:17     标题: PREP数学一道题求解谢谢!!

If p is a positive odd integer, what is the remainder when p is divided by 4? (1) When p is divided by 8, the remainder is 5.
(2) p is the sum of the squares of two positive integers.


答案选d,先问下第二个怎么单独得出啊?
作者: Quadrifolia    时间: 2012-11-29 19:50

P奇数,且是两个数的平方和,则这两个数一定是一奇一偶,设P=(2K)^2+(2K+1)^2,则化简后P=8K^2+4K+1,所以reminder也是1~~
对不?~~~
作者: viviansecret    时间: 2012-11-30 06:36

谢谢谢谢!!




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