利用Python计算质数与完全数的方法实例

# -*- coding: UTF-8 -*-
# 用户输入数字
num = int(input("请输入一个数字: "))
# 质数大于 1
if num > 1:
  # 查看因子
  for i in range(2,num):
    if (num % i) == 0:
      print(num,"不是质数")
      print(i,"乘",num//i,"是",num)
      break
  else:
    print(num,"是质数")
# 如果输入的数字小于或等于 1，不是质数
else:
  print(num,"不是质数")

# -*- coding: UTF-8 -*-
def prime(num):
  for i in range(2,num):
   if (num % i) == 0:
     break
  else:
   print(num,"是质数")
for i in range(2,100002):
  prime(i)
input()

# -*- coding: UTF-8 -*-
def prime(num):
  a = open('prime.txt','a')
  for i in range(2,num):
   if (num % i) == 0:
     break
  else:
   print(num,"是质数")
   a.write(str(num)+"是质数"+'\n')
for i in range(2,100002):
  prime(i)
input()

import time
c = 0
lst = [2,3,5,7,13,17,19,31,61,89,107,127,521,607,1279,2203,2281,3217,4253,4423,9689,9941,11213,19937,21701,23209,44497,86243,110503,132049,216091,756839,859433,1257787,1398269,2976221,3021377,6972593,13466917,20996011,24036583,25964951,30402457,32582657,37156667,42643801,43112609,57885161,74207281,77232917,82589933]
xx = open('perfect.docx','w')
time_start=time.time()
for i in lst:
  c += 1
  a = (2**(i-1))*(2**i-1)
  xx.write(str(c)+':'+str(a)+'\n')
  time_end=time.time()
  
  print(str(c)+' complete numbers have been calculated, it takes %s seconds.'%str(time_end-time_start)+'This m is '+str(i)+',it has '+str(len(str(a)))+' digits.')
input()