search
HomeBackend DevelopmentPython TutorialHow to determine prime numbers in python
How to determine prime numbers in pythonMar 09, 2021 pm 05:35 PM
pythonprime numbers

How to judge prime numbers in python: first use python’s mathematical functions; then scan the prime numbers in a single line program, the code is [[ p for p in range(2, N) if 0 not in [ p% d for d in range(2,int(sqrt(p)].

How to determine prime numbers in python

The operating environment of this tutorial: windows7 system, python3.9 version, DELL G3 computer.

Python prime number judgment method:

1. Use python’s mathematical functions

import math 
 
def isPrime(n): 
  if n <= 1: 
  return False
  for i in range(2, int(math.sqrt(n)) + 1): 
  if n % i == 0: 
    return False
  return True

2. Single-line program to scan prime numbers

from math import sqrt 
N = 100
[ p for p in  range(2, N) if 0 not in [ p% d for d in range(2, int(sqrt(p))+1)] ]

Using python’s itertools module

from itertools import count 
def isPrime(n): www.jb51.net
  if n <= 1: 
    return False
  for i in count(2): 
    if i * i > n: 
      return True
    if n % i == 0: 
      return False

3. Two methods without using modules

Method 1:

def isPrime(n): 
  if n <= 1: 
    return False
  i = 2
  while i*i <= n: 
    if n % i == 0: 
      return False
    i += 1
  return True

Method 2:

def isPrime(n): 
  if n <= 1: 
    return False
  if n == 2: 
    return True
  if n % 2 == 0: 
    return False
  i = 3
  while i * i <= n: 
    if n % i == 0: 
      return False
    i += 2
  return True

eg: Find the prime number (prime number) between 20001 and 40001

Since it can only be digitized by 1 or by yourself, then It shows that only when the remainder is 0 twice, the code is as follows:

#!/usr/bin/python
 
L1=[]
for x in xrange(20001,40001):
 n = 0
 for y in xrange(1,x+1):
 if x % y == 0:
  n = n + 1
 if n == 2 :
 print x
 L1.append(x)
print L1

The result is as follows:

20011
20021
20023
20029
20047
20051
20063
20071
20089
20101
20107
20113
20117
20123
20129
20143
20147
20149
20161
20173
….

Related free learning recommendations: python video tutorial

The above is the detailed content of How to determine prime numbers in python. For more information, please follow other related articles on the PHP Chinese website!

Statement
The content of this article is voluntarily contributed by netizens, and the copyright belongs to the original author. This site does not assume corresponding legal responsibility. If you find any content suspected of plagiarism or infringement, please contact admin@php.cn
详细讲解Python之Seaborn(数据可视化)详细讲解Python之Seaborn(数据可视化)Apr 21, 2022 pm 06:08 PM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于Seaborn的相关问题,包括了数据可视化处理的散点图、折线图、条形图等等内容,下面一起来看一下,希望对大家有帮助。

详细了解Python进程池与进程锁详细了解Python进程池与进程锁May 10, 2022 pm 06:11 PM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于进程池与进程锁的相关问题,包括进程池的创建模块,进程池函数等等内容,下面一起来看一下,希望对大家有帮助。

Python自动化实践之筛选简历Python自动化实践之筛选简历Jun 07, 2022 pm 06:59 PM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于简历筛选的相关问题,包括了定义 ReadDoc 类用以读取 word 文件以及定义 search_word 函数用以筛选的相关内容,下面一起来看一下,希望对大家有帮助。

归纳总结Python标准库归纳总结Python标准库May 03, 2022 am 09:00 AM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于标准库总结的相关问题,下面一起来看一下,希望对大家有帮助。

分享10款高效的VSCode插件,总有一款能够惊艳到你!!分享10款高效的VSCode插件,总有一款能够惊艳到你!!Mar 09, 2021 am 10:15 AM

VS Code的确是一款非常热门、有强大用户基础的一款开发工具。本文给大家介绍一下10款高效、好用的插件,能够让原本单薄的VS Code如虎添翼,开发效率顿时提升到一个新的阶段。

python中文是什么意思python中文是什么意思Jun 24, 2019 pm 02:22 PM

pythn的中文意思是巨蟒、蟒蛇。1989年圣诞节期间,Guido van Rossum在家闲的没事干,为了跟朋友庆祝圣诞节,决定发明一种全新的脚本语言。他很喜欢一个肥皂剧叫Monty Python,所以便把这门语言叫做python。

Python数据类型详解之字符串、数字Python数据类型详解之字符串、数字Apr 27, 2022 pm 07:27 PM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于数据类型之字符串、数字的相关问题,下面一起来看一下,希望对大家有帮助。

详细介绍python的numpy模块详细介绍python的numpy模块May 19, 2022 am 11:43 AM

本篇文章给大家带来了关于Python的相关知识,其中主要介绍了关于numpy模块的相关问题,Numpy是Numerical Python extensions的缩写,字面意思是Python数值计算扩展,下面一起来看一下,希望对大家有帮助。

See all articles

Hot AI Tools

Undresser.AI Undress

Undresser.AI Undress

AI-powered app for creating realistic nude photos

AI Clothes Remover

AI Clothes Remover

Online AI tool for removing clothes from photos.

Undress AI Tool

Undress AI Tool

Undress images for free

Clothoff.io

Clothoff.io

AI clothes remover

AI Hentai Generator

AI Hentai Generator

Generate AI Hentai for free.

Hot Article

R.E.P.O. Energy Crystals Explained and What They Do (Yellow Crystal)
2 weeks agoBy尊渡假赌尊渡假赌尊渡假赌
Repo: How To Revive Teammates
4 weeks agoBy尊渡假赌尊渡假赌尊渡假赌
Hello Kitty Island Adventure: How To Get Giant Seeds
3 weeks agoBy尊渡假赌尊渡假赌尊渡假赌

Hot Tools

SublimeText3 Mac version

SublimeText3 Mac version

God-level code editing software (SublimeText3)

SublimeText3 Linux new version

SublimeText3 Linux new version

SublimeText3 Linux latest version

SecLists

SecLists

SecLists is the ultimate security tester's companion. It is a collection of various types of lists that are frequently used during security assessments, all in one place. SecLists helps make security testing more efficient and productive by conveniently providing all the lists a security tester might need. List types include usernames, passwords, URLs, fuzzing payloads, sensitive data patterns, web shells, and more. The tester can simply pull this repository onto a new test machine and he will have access to every type of list he needs.

WebStorm Mac version

WebStorm Mac version

Useful JavaScript development tools

SublimeText3 English version

SublimeText3 English version

Recommended: Win version, supports code prompts!