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If p and r are prime numbers, which of the following must also be prime?A、prB、p
If p and r are prime numbers, which of the following must also be prime?A、prB、p
游客
2025-02-24
29
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问题
If p and r are prime numbers, which of the following must also be prime?
选项
A、pr
B、p+r
C、pr+1
D、p2+r2
E、None of the above
答案
E
解析
若p和r是质数(prime number),则下面哪一个也一定是质数?
解:本题的正确答案为(E)。此题可用排除法。质数就是除了1和它本身之外,没有其他因子的数,因此(A)选项是显然不正确的;由5+7=12可以断定(B)也是错误的,实际上两个质数的和为偶数;5×7+1=36可认定(C)是错误的;(D)也肯定不是质数,所以也是错误的。
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