完数是指一个正整数的所有因子（包括1，不包括自身）的和等于这个数本身。下面是一个Python程序，用来找出一千以内的完数：
def find_perfect_numbers(limit):
perfect_numbers = []
for num in range(1, limit):
factors = []
for i in range(1, num):
if num % i == 0:
factors.append(i)
if sum(factors) == num:
perfect_numbers.append(num)
return perfect_numbers
limit = 1000
perfect_numbers = find_perfect_numbers(limit)
print("Perfect numbers within 1000:")
for num in perfect_numbers:
print(num)
运行这个程序，就可以找到一千以内的完数。
