(Problem 35)Circular primes
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime.
There are thirteen such primes below 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, and 97.
How many circular primes are there below one million?
题目大意:
我们称197为一个循环质数,因为它的所有轮转形式: 197, 971和719都是质数。
100以下有13个这样的质数: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 和97.
100万以下有多少个循环质数?
//(Problem 35)Circular primes
// Completed on Fri, 26 Jul 2013, 06:17
// Language: C
//
// 版权所有(C)acutus (mail: acutus@126.com)
// 博客地址:http://www.cnblogs.com/acutus/#include<stdio.h>
#include<math.h>
#include<string.h>
#include<ctype.h>
#include<stdlib.h>
#include<stdbool.h> bool isprim(int n)
{
int i=;
for(; i*i<n; i++)
{
if(n%i==) return false;
}
return true;
} bool circular_prime(int n)
{
int i,j,flag=;
char s[];
int sum=;
sprintf(s,"%d",n);
int len=strlen(s);
for(i=; i<len; i++)
{
if(s[i]!='' && s[i]!='' && s[i]!='' && s[i]!='')
return false;
}
for(i=; i<len; i++)
{
for(j=i; j<i+len-; j++)
{
sum+=s[j%len]-'';
sum*=;
}
sum+=s[j%len]-'';
if(!isprim(sum)) return false;
sum=;
}
return true;
} int main()
{
int sum=; //已包含2,3,5,7
for(int i=; i<; i++)
{
if(circular_prime(i))
sum++;
}
printf("%d\n",sum);
return ;
}
|
Answer:
|
55 |
(Problem 35)Circular primes的更多相关文章
- (Problem 47)Distinct primes factors
The first two consecutive numbers to have two distinct prime factors are: 14 = 2 7 15 = 3 5 The fi ...
- (Problem 37)Truncatable primes
The number 3797 has an interesting property. Being prime itself, it is possible to continuously remo ...
- (Problem 49)Prime permutations
The arithmetic sequence, 1487, 4817, 8147, in which each of the terms increases by 3330, is unusual ...
- (Problem 29)Distinct powers
Consider all integer combinations ofabfor 2a5 and 2b5: 22=4, 23=8, 24=16, 25=32 32=9, 33=27, 34=81, ...
- (Problem 73)Counting fractions in a range
Consider the fraction, n/d, where n and d are positive integers. If nd and HCF(n,d)=1, it is called ...
- (Problem 42)Coded triangle numbers
The nth term of the sequence of triangle numbers is given by, tn = ½n(n+1); so the first ten triangl ...
- (Problem 41)Pandigital prime
We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly o ...
- (Problem 70)Totient permutation
Euler's Totient function, φ(n) [sometimes called the phi function], is used to determine the number ...
- (Problem 74)Digit factorial chains
The number 145 is well known for the property that the sum of the factorial of its digits is equal t ...
随机推荐
- rsyslog 不打印日志到/var/log/messages
*.info;mail.none;authpriv.none;cron.none;local3.none /var/log/messages 表示 所有来源的info级别都记录到/var/log/me ...
- CCNA实验(7) -- NAT
1.静态NAT2.动态NAT3.复用内部全局地址的NAT(PAT) enableconf tno ip do loenable pass ciscoline con 0logg syncexec-t ...
- ios中的银联支付
场景 随着移动互联网的迅猛发展,移动互联已经深深地融入我们的生活.其中,支付方式也是我们生活中经常遇到的情况.所以,在我们的应用中加入支付功能是多么的重要.现在主流的支付接口,一是支付宝类的,一是银联 ...
- hdu-Common Subsequence
http://acm.hdu.edu.cn/showproblem.php?pid=1159 Problem Description A subsequence of a given sequence ...
- Android中各种Adapter的使用方法
1.概念 Adapter是连接后端数据和前端显示的适配器接口.是数据和UI(View)之间一个重要的纽带.在常见的View(ListView,GridView)等地方都须要用到Adapter.例如以下 ...
- android UI进阶之用【转】
android UI进阶之用ViewPager实现欢迎引导页面 摘要: ViewPager需要android-support-v4.jar这个包的支持,来自google提供的一个附加包.大家搜下即可. ...
- 新手不得不注意HTML CSS 规范
作为一名新进的程序菜鸟,根本不知道从哪里开始学起好,前辈都说HTML CSS 规范是一个十分需要注意的点,要我记下,特地转来保存一下,大家相互学习 //总论 本规范既然一个开发规范,也是一个脚本语言参 ...
- BootStrap 智能表单系列 十一 级联下拉的支持
像省市县选择的这种,但凡是个人肯定都见过,实现方式有很多种 1.有在第一级选择的时候去加载或者从本地对象中拿第一级对应的数据源显示到列表中,第二级以此类推 2.也有将所有的项都加载到select中,然 ...
- WebApi个人理解概要
WebApi概要 Global文件的作用: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 public class MvcApplication : System.We ...
- BZOJ 3444: 最后的晚餐( )
把暗恋关系看成无向边, 那某个点度数超过2就无解.存在环也是无解.有解的话对连通分量进行排列就行了. ------------------------------------------------- ...