PREP数学一道题求解谢谢！！

viviansecret

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？

viviansecret

谢谢谢谢！！

Quadrifolia

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？~~~