In how many ways can 10001 be written as the sum of two primes?

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Inhowmanywayscan10001bewrittenasthesumoftwoprimes?Inhowmanywayscan10001bewrittenasthesumoftwoprimes?

In how many ways can 10001 be written as the sum of two primes?
In how many ways can 10001 be written as the sum of two primes?

In how many ways can 10001 be written as the sum of two primes?
10001写成两个质数之和形式:
这题很简单,两个质数,首先我们知道质数除了2以外全部都是奇数,两个奇数相加必等于一个偶数,而这里10001是奇数,所以有一个质数必定为2.
所以只有可能为 2 + 9999 = 10001,但是 9999明显不是质数.连唯一的可能都不成立.故答案为:没有可能(none)