两个质数的和差积商一定都还是质数吗?
- 时间:2020-04-19 17:13:52
- 分类:数学世界
- 阅读:124 次
两个质数的和差积商一定都还是质数吗?
解答如下:
两个质数的和、差不一定还是质数。如:11-2=9【合数】,7-5=2【质数】,13+2=15【合数】,15+2=17【质数】
两个质数的积一定不是质数!如:2×3=6【合数】,3×5=15【合数】,因为得到的数的因数除了1和本身,还有这两个质数,所以得到的数一定是合数,一定不是质数。
两个质数的商一定不是质数!如:5÷2=2.5,5÷3=5/3,得到的商不是整数,所以不可能是质数。
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