PROGRAMMING:Goldbach conjecture
"It's a game where I and the other players get faster than who"
For any even number n greater than or equal to 4, there is at least one pair of prime numbers P1 and P2 such that n = P1 + P2
No one is sure whether this conjecture really holds. However, for a given even number, such a pair of primes (if any) can be found. The problem here is to write a program to print out all the prime logarithms satisfying the conjecture condition of a given even number.
An even sequence is used as input. There can be a lot of numbers like that. For each number, the program should output the number of the above pairs. Please note that we only count different pairs, so (P1, P2) and (P2, P1) should not be counted as two different pairs.
###Input format:
Give an integer in each input line. You can assume that each integer is even and greater than or equal to 4 and less than the 15th power of 2. The end of the input is indicated by the number 0.
###Output format:
Each output line should contain an integer. No other characters should appear in the output.
###Input example:
Here is a set of inputs. For example:
```in
six
ten
twelve
0
```
###Output example:
The corresponding output is given here. For example:
```out
one
two
one
```
answer：If there is no answer, please comment
For any even number n greater than or equal to 4, there is at least one pair of prime numbers P1 and P2 such that n = P1 + P2
No one is sure whether this conjecture really holds. However, for a given even number, such a pair of primes (if any) can be found. The problem here is to write a program to print out all the prime logarithms satisfying the conjecture condition of a given even number.
An even sequence is used as input. There can be a lot of numbers like that. For each number, the program should output the number of the above pairs. Please note that we only count different pairs, so (P1, P2) and (P2, P1) should not be counted as two different pairs.
###Input format:
Give an integer in each input line. You can assume that each integer is even and greater than or equal to 4 and less than the 15th power of 2. The end of the input is indicated by the number 0.
###Output format:
Each output line should contain an integer. No other characters should appear in the output.
###Input example:
Here is a set of inputs. For example:
```in
six
ten
twelve
0
```
###Output example:
The corresponding output is given here. For example:
```out
one
two
one
```
answer：If there is no answer, please comment