📜  位数≤D的所有素数之和

📅  最后修改于: 2022-05-13 01:57:52.841000             🧑  作者: Mango

位数≤D的所有素数之和

给定一个整数D ,任务是找到位数小于或等于D的所有素数的总和。

例子:

方法:使用埃拉托色尼筛法生成所有素数,直到最大 D 位数,然后找到同一范围内所有素数的总和。

下面是上述方法的实现:

C++14
// C++ implementation of the approach
#include 
using namespace std;
 
// Function for Sieve of Eratosthenes
void sieve(bool prime[], int n)
{
    prime[0] = false;
    prime[1] = false;
    for (int p = 2; p * p <= n; p++) {
        if (prime[p] == true) {
            for (int i = p * p; i <= n; i += p)
                prime[i] = false;
        }
    }
}
 
// Function to return the sum of
// the required prime numbers
int sumPrime(int d)
{
 
    // Maximum number of d-digits
    int maxVal = pow(10, d) - 1;
 
    // Sieve of Eratosthenes
    bool prime[maxVal + 1];
    memset(prime, true, sizeof(prime));
    sieve(prime, maxVal);
 
    // To store the required sum
    int sum = 0;
 
    for (int i = 2; i <= maxVal; i++) {
 
        // If current element is prime
        if (prime[i]) {
            sum += i;
        }
    }
 
    return sum;
}
 
// Driver code
int main()
{
    int d = 3;
 
    cout << sumPrime(d);
 
    return 0;
}


Java
// Java implementation of the approach
class GFG
{
     
    // Function for Sieve of Eratosthenes
    static void sieve(boolean []prime, int n)
    {
        prime[0] = false;
        prime[1] = false;
        for (int p = 2; p * p <= n; p++)
        {
            if (prime[p] == true)
            {
                for (int i = p * p; i <= n; i += p)
                    prime[i] = false;
            }
        }
    }
     
    // Function to return the sum of
    // the required prime numbers
    static int sumPrime(int d)
    {
        int i;
        // Maximum number of d-digits
        int maxVal = (int)Math.pow(10, d) - 1;
     
        // Sieve of Eratosthenes
        boolean prime[] = new boolean[maxVal + 1];
         
        for(i = 0; i < maxVal + 1; i++)
            prime[i] = true;
             
        sieve(prime, maxVal);
     
        // To store the required sum
        int sum = 0;
     
        for (i = 2; i <= maxVal; i++)
        {
     
            // If current element is prime
            if (prime[i])
            {
                sum += i;
            }
        }
        return sum;
    }
     
    // Driver code
    public static void main (String[] args)
    {
        int d = 3;
     
        System.out.println(sumPrime(d));
    }
}
 
// This code is contributed by AnkitRai01


Python3
# Python3 implementation of the approach
from math import sqrt
 
# Function for Sieve of Eratosthenes
def sieve(prime, n) :
 
    prime[0] = False;
    prime[1] = False;
    for p in range(2, int(sqrt(n)) + 1) :
        if (prime[p] == True) :
            for i in range( p * p, n + 1, p) :
                prime[i] = False;
 
# Function to return the sum of
# the required prime numbers
def sumPrime(d) :
 
    # Maximum number of d-digits
    maxVal = (10 ** d) - 1;
 
    # Sieve of Eratosthenes
    prime = [True] * (maxVal + 1);
    sieve(prime, maxVal);
 
    # To store the required sum
    sum = 0;
 
    for i in range(2, maxVal + 1) :
 
        # If current element is prime
        if (prime[i]) :
            sum += i;
 
    return sum;
 
# Driver code
if __name__ == "__main__" :
 
    d = 3;
 
    print(sumPrime(d));
 
# This code is contributed by kanugargng


C#
// C# implementation of the above approach
using System;
     
class GFG
{
     
    // Function for Sieve of Eratosthenes
    static void sieve(Boolean []prime, int n)
    {
        prime[0] = false;
        prime[1] = false;
        for (int p = 2; p * p <= n; p++)
        {
            if (prime[p] == true)
            {
                for (int i = p * p;
                         i <= n; i += p)
                    prime[i] = false;
            }
        }
    }
     
    // Function to return the sum of
    // the required prime numbers
    static int sumPrime(int d)
    {
        int i;
        // Maximum number of d-digits
        int maxVal = (int)Math.Pow(10, d) - 1;
     
        // Sieve of Eratosthenes
        Boolean []prime = new Boolean[maxVal + 1];
         
        for(i = 0; i < maxVal + 1; i++)
            prime[i] = true;
             
        sieve(prime, maxVal);
     
        // To store the required sum
        int sum = 0;
     
        for (i = 2; i <= maxVal; i++)
        {
     
            // If current element is prime
            if (prime[i])
            {
                sum += i;
            }
        }
        return sum;
    }
     
    // Driver code
    public static void Main (String[] args)
    {
        int d = 3;
     
        Console.WriteLine(sumPrime(d));
    }
}
 
// This code is contributed by PrinciRaj1992


Javascript


输出:
76127