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_numberslimit = 1000perfect_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。