编写函数,将一个大于2的偶数表示成两个素数之和。 运行结果: even number=16 3+13=16 5+11=16
时间: 2024-11-25 13:14:09 浏览: 14
编写一个函数来解决这个问题,通常涉及遍历所有小于给定偶数的素数,并尝试找到两个素数相加等于这个偶数。这里是一个简单的Python示例:
```python
def is_prime(n):
if n <= 1:
return False
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return False
return True
def prime_sum(even_number):
def find_sum(num):
for i in range(2, num//2 + 1): # 遍历到num的一半
if is_prime(i) and is_prime(even_number - i):
return (i, even_number - i)
primes = []
for candidate in range(3, even_number): # 只考虑奇数,因为偶数不是素数
if is_prime(candidate):
primes.append(candidate)
result = None
for p in primes:
complement = even_number - p
pair = find_sum(complement)
if pair is not None:
result = (p, pair[0])
break
return result or ("No solution found for", even_number)
# 测试函数
even_number = 16
solution = prime_sum(even_number)
print(f"Even number={even_number}, Sum of two primes={solution[0]}+{solution[1]}")
#
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