OnlineJudge 3 现已推出。点此体验新版：Goldbach\'s Conjecture | SDUT OnlineJudge

### Goldbach\'s Conjecture

Time Limit: 1000 ms
Memory Limit: 65536 KiB

#### Problem 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 beFor example:

written as the sum of two odd prime numbers.

- 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.

Anyway, your task is now to verify Goldbach\'s conjecture for all even numbers less than a million.

#### Input

The input file will contain one or more test cases.

Each test case consists of one even integer

Input will be terminated by a value of 0 for

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

8 20 42 0

#### Sample Output

8 = 3 + 5 20 = 3 + 17 42 = 5 + 37

#### Hint

#### Source

1998/99 University of Ulm Local Contest