Everybody in the Prime Land is using a prime base number system. In this system, each positive integer x is represented as follows: Let {pi}i=0,1,2,... denote the increasing sequence of all prime numbers. We know that x > 1 can be represented in only…

Description Everybody in the Prime Land is using a prime base number system. In this system, each positive integer x is represented as follows: Let {pi}i=0,1,2,... denote the increasing sequence of all prime numbers. We know that x > 1 can be represe…

A prime number is a counting number (1, 2, 3, ...) that is evenly divisible only by 1 and itself. In this problem you are to write a program that will cut some number of prime numbers from the list of prime numbers between (and including) 1 and N. Yo…

The sequence of n − 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, ‹24, 25, 26, 27, 28› between 23 and 2…

Everybody knows any number can be combined by the prime number. Now, your task is telling me what position of the largest prime factor. The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc. Specially, LPF(1) = 0.  InputEach line will con…

题目大意 给定一个数的质因子表达式,要求你计算机它的值,并减一,再对这个值进行质因数分解,输出表达式 题解 预处理一下,线性筛法筛下素数,然后求出值来之后再用筛选出的素数去分解....其实主要就是字符串处理... 代码: #include <stdio.h> #include <string.h> #include <math.h> #define MAXN 10000 ]; ],cnt=; ]; void get_prime() { ; memset(check,fa…

题目链接: http://poj.org/problem?id=1365 题目大意: 告诉你一个数的质因数x的全部底数pi和幂ei.输出x-1的质因数的全部底数和幂 解题思路: 这道题不难.可是题意特别不好理解.对于我这样的英文渣的人.愣是一个小时没看明确 关于题意举例说明吧 比如 509 1 59 1 x = 509^1 * 59^1 = 30031 x-1 = 30030 则答案 13 1 11 1 7 1 5 1 3 1 2 1 就是 x-1 = 13^1 * 11^1 * 7^1 * 5…

In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every even number greater than 4 can be written as the sum of two odd prime numbers. For example: 8 = 3 + 5. Both…

For any even number n greater than or equal to 4, there exists at least one pair of prime numbers p1 and p2 such that n = p1 + p2 This conjecture has not been proved nor refused yet. No one is sure whether this conjecture actually holds. However, one…

Two positive integers are said to be relatively prime to each other if the Great Common Divisor (GCD) is 1. For instance, 1, 3, 5, 7, 9...are all relatively prime to 2006. Now your job is easy: for the given integer m, find the K-th element which is…