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2262:Goldbach's Conjecture

题目描述
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.
输入解释
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.
输出解释
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."
输入样例
8
20
42
0
输出样例
8 = 3 + 5
20 = 3 + 17
42 = 5 + 37

该题目是Virtual Judge题目,来自 北京大学POJ

题目来源 Ulm Local 1998

源链接: POJ-2262

最后修改于 2020-10-29T06:27:53+00:00 由爬虫自动更新

共提交 0

通过率 --%
时间上限 内存上限
1000 65536