Project Euler:Problem 37 Truncatable primes
The number 3797 has an interesting property. Being prime itself, it is possible to continuously remove digits from left to right, and remain prime at each stage: 3797, 797, 97, and
7. Similarly we can work from right to left: 3797, 379, 37, and 3.
Find the sum of the only eleven primes that are both truncatable from left to right and right to left.
NOTE: 2, 3, 5, and 7 are not considered to be truncatable primes.
#include <iostream>
#include <string>
using namespace std; bool prim(int a)
{
if (a == 1)
return false;
for (int i = 2; i*i <= a; i++)
{
if (a%i == 0)
return false;
}
return true;
} bool tr_prim(int a)
{
int num = a;
int count = 0;
int tmp[10] = { 0 };
while (a)
{
if (!prim(a))
return false;
count++;
tmp[count] = a % 10;
a /= 10;
}
for (int i = count; i > 1; i--)
{
num = num - tmp[i] * pow(10, i - 1);
if (!prim(num))
return false;
}
return true;
} int main()
{ int sum = 0;
for (int i = 10; i <= 1000000; i++)
{
if (tr_prim(i))
{
//cout << i << endl;
sum += i;
}
}
cout << sum << endl;
system("pause");
return 0;
Project Euler:Problem 37 Truncatable primes的更多相关文章
- Project Euler:Problem 58 Spiral primes
Starting with 1 and spiralling anticlockwise in the following way, a square spiral with side length ...
- Project Euler:Problem 47 Distinct primes factors
The first two consecutive numbers to have two distinct prime factors are: 14 = 2 × 7 15 = 3 × 5 The ...
- Project Euler:Problem 55 Lychrel numbers
If we take 47, reverse and add, 47 + 74 = 121, which is palindromic. Not all numbers produce palindr ...
- Project Euler:Problem 63 Powerful digit counts
The 5-digit number, 16807=75, is also a fifth power. Similarly, the 9-digit number, 134217728=89, is ...
- Project Euler:Problem 86 Cuboid route
A spider, S, sits in one corner of a cuboid room, measuring 6 by 5 by 3, and a fly, F, sits in the o ...
- Project Euler:Problem 76 Counting summations
It is possible to write five as a sum in exactly six different ways: 4 + 1 3 + 2 3 + 1 + 1 2 + 2 + 1 ...
- Project Euler:Problem 87 Prime power triples
The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is ...
- Project Euler:Problem 89 Roman numerals
For a number written in Roman numerals to be considered valid there are basic rules which must be fo ...
- Project Euler:Problem 77 Prime summations
It is possible to write ten as the sum of primes in exactly five different ways: 7 + 3 5 + 5 5 + 3 + ...
随机推荐
- [JavaEE] 20141228_Java类文章搜集
http://www.blogjava.net/jiangshachina 博客园java频道 Maven入门--概念与实例(原) Maven入门--较复杂的实例(原) Maven插件使用收集(原) ...
- Vue常用插件总结
Vue-router ----- 路由插件 Vue-loader-----webpack的加载器,允许您以称为单文件组件(SFC)的格式创作Vue组件 Vue-resource-----提供了使用 ...
- IP与以太网的包收发操作
你好,这是<网络是怎样连接的>的第3篇读书笔记,第二章<用电信号传输TCP/IP>后半部分:IP与以太网的包收发操作. 先看下经典的TCP/IP四层模型: 通常,下层模块支撑上 ...
- BPM使用ligerUI实现主从表显示
先看一下效果图: 界面有待美化,嘿嘿,下面说一下实现过程,当然,我的代码可能不对,就比如后台给前端返回JSON对象,应该包括状态和消息和数据,我这里直接给返回了JSON对象,所以,如果有大神,您知道怎 ...
- flash as3.0学习笔记
F9开动作模板 trace输出 trace(a); 影片剪辑 var mc:MovieClip = new MovieClip();//属性(x,y轴)方法 play,stop mc.x = 10 / ...
- eclipse中文汉字看不清或过小的问题解决方法!!
把字体修改为 中欧字体就可以看清汉字
- webpack入门 --初级压缩
1.新建一个文件夹,再初始化npm: npm init 2.安装webpack,首先要全局安装,再本地安装: npm install webpack -g // 全局安装 npm install we ...
- Vue组件的三种调用方式
最近在写fj-service-system的时候,遇到了一些问题.那就是我有些组件,比如Dialog.Message这样的组件,是引入三方组件库,比如element-ui这样的,还是自己实现一个?虽然 ...
- 前端-Angular思维导图笔记
看不清的朋友右键保存或者新窗口打开哦!喜欢我可以关注我,还有更多前端思维导图笔记
- 推荐10个超棒的jQuery工具 提示插件
脚本之家 http://www.jb51.net/article/28525.htm