楼主题目有错
题目：If n and p are integers greater than 1 and if p is a factor of both n +3 and n +10,what is the value of p
if p is a factor of n+3 and n+10 then;
p*x=n+3 and p*y=n+10 where x and y are natural numbers;
then; p*y-p*x=n+10 -(n+3) => p*(y-x)=7;
Since 7 has only two factors 1 and 7; p can either be 1 or 7.
Since p>1 p=7. 楼主题目有错
题目：If n and p are integers greater than 1 and if p is a factor of both n +3 and n +10,what is the value of p
if p is a factor of n+3 and n+10 then;
p*x=n+3 and p*y=n+10 where x and y are natural numbers;
then; p*y-p*x=n+10 -(n+3) => p*(y-x)=7;
Since 7 has only two factors 1 and 7; p can either be 1 or 7.
Since p>1 p=7.