11.
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.
由条件2也能推出?
怎么考虑的?
谢谢
如果2对的话,而p是奇数 ,那么p可以写成如下形式:
p= (2a+1)^2+ (2b)^2
a,b地位等同,可以互换
所以p=4*a^2+4*a+1+4*b^2
所以余数是1
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