【poj2262】Goldbach’s Conjecture

2014年2月28日1,6772

Description

In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture:

Every even number greater than 4 can be
written as the sum of two odd prime numbers.

For example:

8 = 3 + 5. Both 3 and 5 are odd prime numbers.
20 = 3 + 17 = 7 + 13.
42 = 5 + 37 = 11 + 31 = 13 + 29 = 19 + 23.

Today it is still unproven whether the conjecture is right. (Oh wait, I have the proof of course, but it is too long to write it on the margin of this page.)
Anyway, your task is now to verify Goldbach’s conjecture for all even numbers less than a million.

Input

The input will contain one or more test cases.
Each test case consists of one even integer n with 6 <= n < 1000000.
Input will be terminated by a value of 0 for n.

Output

For each test case, print one line of the form n = a + b, where a and b are odd primes. Numbers and operators should be separated by exactly one blank like in the sample output below. If there is more than one pair of odd primes adding up to n, choose the pair where the difference b – a is maximized. If there is no such pair, print a line saying “Goldbach’s conjecture is wrong.”

Sample Input

Sample Output

题解

写个素数筛法,然后暴力枚举判断

 

 

  • 雪狼2014年3月1日 下午6:47 回复

    没有Goldbach’s conjecture is wrong.可以过,这个数据不科学

    #1  
    • hzwer2014年3月1日 下午7:22 回复
      admin

      卧槽,哥德巴赫猜想也得能找出错的啊,你构造个数据啊。。

      #11