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

  1. Project Euler:Problem 58 Spiral primes

    Starting with 1 and spiralling anticlockwise in the following way, a square spiral with side length ...

  2. 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 ...

  3. Project Euler:Problem 55 Lychrel numbers

    If we take 47, reverse and add, 47 + 74 = 121, which is palindromic. Not all numbers produce palindr ...

  4. 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 ...

  5. 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 ...

  6. 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 ...

  7. 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 ...

  8. 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 ...

  9. 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

  1. golang iris下面的websocket

    最近要做后台主动推送:(iris框架,封装的有wesocket,刚开始以为直接拿过来用,结果不是现在贴一下代码,写一下遇到的坑) func main() {    app := iris.New()  ...

  2. IEnumerable ICollection IList

  3. function at line ### more than 60 upvalues

    lua中函数的upvalues是有上限的,在luaconf.h中定义: /*@@ LUAI_MAXUPVALUES is the maximum number of upvalues per func ...

  4. ADODB.RecordSet常用方法查询

    rs = Server.CreateObject("ADODB.RecordSet") rs.Open(sqlStr,conn,1,A) 注:A=1表示读取数据:A=3表示新增.修 ...

  5. Outlook2010规则:尝试操作失败,找不到某个对象

    可以尝试通过清除规则的方法 启动 Outlook 并删除基于客户端的规则:outlook /cleanclientrules 如果失败,再执行这句 启动 Outlook 并删除基于服务器端的规则:ou ...

  6. Virtualbox guest in KDE Neon

    在最新版的KDE Neon里面装VirtualBox客户端工具,折腾了好久,时间紧的时候不得已用共享U盘的方法将就. 之前要么装完关机按钮点了没反应,要么重启进桌面后任务栏消失,再就是进去之后复制东西 ...

  7. salt-master迁移

    1.在迁移到的目标机器上先安装salt-master 2.把原master机器上的/etc/salt/pki目录打包发送到迁移的机器上的同等目录下面 3.在原master机器上批量修改minion的配 ...

  8. 分层、链式分析、url、联系的长度

    分层.链式分析.url.联系的长度. 分层结构符合软件处理的工具链性和步骤性: 分层的每一次都是一个节点或步骤: 链式结构普遍存在于自然界,比如食物链: 联系是普遍存在的,不只是两个事物间的联系,而且 ...

  9. CDR快速制作苹果手机照片小图标

    本篇教程用CorelDRAW快速制作苹果手机照片小图标,在实现的过程中主要使用了旋转复制的方法,加之一些常用工具的用法处理,最后加上透明效果下的合并模式就好了,现在跟小编一起来看看详细的操作吧! 1. ...

  10. B/S架构的网站测试

      一.功能测试 1.链接测试 链接是Web应用系统的一个主要特征,它是在页面之间切换和指导用户去一些不知道地址的页面的主要手段.链接测试可分为三个方面.首先,测试所有链接是否按指示的那样确实链接到了 ...