mathfan 回覆於: 2004/9/30 下午 03:45:15
4.if a-c=nk then a=c+nk hence a and c leave the same remainder
if a and c leave the same remainder, say a≧c, then a-c is divided by n ,hence a-c=nk for some integer n
阿風 寫到:Let n be a positive integer. Prove that a and c leave the same remainder
when divided by n if and only if a-c=nk for some integer k.