Sieve of eratosthenes
Here given code implementation process.
// C Program
// Print prime number by using
// Sieve of eratosthenes
#include <stdio.h>
//Find all prime numbers which have smaller and equal to given number n
void sieve_of_eratosthenes(int n)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
//this are used to detect prime numbers
int prime[n + 1];
// Loop controlling variables
int i;
int j;
// Initial two numbers are not prime (0 and 1)
prime[0] = 0;
prime[1] = 0;
// Set the initial (2 to n element is prime)
for (i = 2; i <= n; ++i)
{
prime[i] = 1;
}
// Initial 0 and 1 are not prime
// We start to 2
for (i = 2; i * i <= n; ++i)
{
if (prime[i] == 1)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for (j = i * i; j <= n; j += i)
{
prime[j] = 0;
}
}
}
printf("\n All prime of (2 - %d) is : \n [", n);
//Display prime element
for (i = 0; i <= n; ++i)
{
if (prime[i] == 1)
{
printf(" %d", i);
}
}
printf(" ]\n");
}
int main()
{
//Test Case
sieve_of_eratosthenes(25);
sieve_of_eratosthenes(100);
sieve_of_eratosthenes(200);
return 0;
}
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
// Java Program
// Print prime number by using
// Sieve of eratosthenes
public class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
public void sieve_of_eratosthenes(int n)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
//this are used to detect prime numbers
boolean[] prime = new boolean[n + 1];
// Loop controlling variables
int i;
int j;
// Initial two numbers are not prime (0 and 1)
prime[0] = false;
prime[1] = false;
// Set the initial (2 to n element is prime)
for (i = 2; i <= n; ++i)
{
prime[i] = true;
}
// Initial 0 and 1 are not prime
// We start to 2
for (i = 2; i * i <= n; ++i)
{
if (prime[i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for (j = i * i; j <= n; j += i)
{
prime[j] = false;
}
}
}
System.out.print("\n All prime of (2 - " + n + ") is : \n [");
//Display prime element
for (i = 0; i <= n; ++i)
{
if (prime[i] == true)
{
System.out.print(" " + i);
}
}
System.out.print(" ]\n");
}
public static void main(String[] args)
{
SieveOfEratosthenes obj = new SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
}
}
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
//Include header file
#include <iostream>
using namespace std;
// C++ Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
public:
//Find all prime numbers which have smaller and equal to given number n
void sieve_of_eratosthenes(int n)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
//this are used to detect prime numbers
bool prime[n + 1];
// Loop controlling variables
int i;
int j;
// Initial two numbers are not prime (0 and 1)
prime[0] = false;
prime[1] = false;
// Set the initial (2 to n element is prime)
for (i = 2; i <= n; ++i)
{
prime[i] = true;
}
// Initial 0 and 1 are not prime
// We start to 2
for (i = 2; i *i <= n; ++i)
{
if (prime[i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for (j = i *i; j <= n; j += i)
{
prime[j] = false;
}
}
}
cout << "\n All prime of (2 - " << n << ") is : \n [";
//Display prime element
for (i = 0; i <= n; ++i)
{
if (prime[i] == true)
{
cout << " " << i;
}
}
cout << " ]\n";
}
};
int main()
{
SieveOfEratosthenes obj = SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
return 0;
}
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
//Include namespace system
using System;
// C# Program
// Print prime number by using
// Sieve of eratosthenes
public class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
public void sieve_of_eratosthenes(int n)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
//this are used to detect prime numbers
Boolean[] prime = new Boolean[n + 1];
// Loop controlling variables
int i;
int j;
// Initial two numbers are not prime (0 and 1)
prime[0] = false;
prime[1] = false;
// Set the initial (2 to n element is prime)
for (i = 2; i <= n; ++i)
{
prime[i] = true;
}
// Initial 0 and 1 are not prime
// We start to 2
for (i = 2; i * i <= n; ++i)
{
if (prime[i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for (j = i * i; j <= n; j += i)
{
prime[j] = false;
}
}
}
Console.Write("\n All prime of (2 - " + n + ") is : \n [");
//Display prime element
for (i = 0; i <= n; ++i)
{
if (prime[i] == true)
{
Console.Write(" " + i);
}
}
Console.Write(" ]\n");
}
public static void Main(String[] args)
{
SieveOfEratosthenes obj = new SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
}
}
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
<?php
// Php Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
public function sieve_of_eratosthenes($n)
{
if ($n <= 1)
{
//When n are invalid to prime number
return;
}
// This are used to detect prime numbers
// Set the n all numbers is prime
$prime = array_fill(0, $n + 1, true);
// Loop controlling variables
$i = 0;
$j = 0;
// Initial two numbers are not prime (0 and 1)
$prime[0] = false;
$prime[1] = false;
// Initial 0 and 1 are not prime
// We start to 2
for ($i = 2; $i * $i <= $n; ++$i)
{
if ($prime[$i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for ($j = $i * $i; $j <= $n; $j += $i)
{
$prime[$j] = false;
}
}
}
echo "\n All prime of (2 - ". $n .") is : \n [";
//Display prime element
for ($i = 0; $i <= $n; ++$i)
{
if ($prime[$i] == true)
{
echo " ". $i;
}
}
echo " ]\n";
}
}
function main()
{
$obj = new SieveOfEratosthenes();
//Test Case
$obj->sieve_of_eratosthenes(25);
$obj->sieve_of_eratosthenes(100);
$obj->sieve_of_eratosthenes(200);
}
main();
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
// Node Js Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
sieve_of_eratosthenes(n)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
// This are used to detect prime numbers
// Set the n all numbers is prime
var prime = Array(n + 1).fill(true);
// Loop controlling variables
var i = 0;
var j = 0;
// Initial two numbers are not prime (0 and 1)
prime[0] = false;
prime[1] = false;
// Initial 0 and 1 are not prime
// We start to 2
for (i = 2; i * i <= n; ++i)
{
if (prime[i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
for (j = i * i; j <= n; j += i)
{
prime[j] = false;
}
}
}
process.stdout.write("\n All prime of (2 - " + n + ") is : \n [");
//Display prime element
for (i = 0; i <= n; ++i)
{
if (prime[i] == true)
{
process.stdout.write(" " + i);
}
}
process.stdout.write(" ]\n");
}
}
function main()
{
var obj = new SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
}
main();
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
# Python 3 Program
# Print prime number by using
# Sieve of eratosthenes
class SieveOfEratosthenes :
# Find all prime numbers which have smaller and equal to given number n
def sieve_of_eratosthenes(self, n) :
if (n <= 1) :
# When n are invalid to prime number
return
# This are used to detect prime numbers
# Set the n all numbers is prime
prime = [True] * (n + 1)
# Loop controlling variables
i = 0
j = 0
# Initial two numbers are not prime (0 and 1)
prime[0] = False
prime[1] = False
# We start to 2
i = 2
while (i * i <= n) :
if (prime[i] == True) :
# When i is prime number
# Modify the prime status of all next multiplier of location i
j = i * i
while (j <= n) :
prime[j] = False
j += i
i += 1
print("\n All prime of (2 - ", n ,") is : \n [", end = "")
# Display prime element
i = 0
while (i <= n) :
if (prime[i] == True) :
print(" ", i, end = "")
i += 1
print(" ]\n", end = "")
def main() :
obj = SieveOfEratosthenes()
# Test Case
obj.sieve_of_eratosthenes(25)
obj.sieve_of_eratosthenes(100)
obj.sieve_of_eratosthenes(200)
if __name__ == "__main__": main()
Output
All prime of (2 - 25 ) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100 ) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200 ) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
# Ruby Program
# Print prime number by using
# Sieve of eratosthenes
class SieveOfEratosthenes
# Find all prime numbers which have smaller and equal to given number n
def sieve_of_eratosthenes(n)
if (n <= 1)
# When n are invalid to prime number
return
end
# This are used to detect prime numbers
# Set the n all numbers is prime
prime = Array.new(n + 1) {true}
# Loop controlling variables
i = 0
j = 0
# Initial two numbers are not prime (0 and 1)
prime[0] = false
prime[1] = false
# We start to 2
i = 2
while (i * i <= n)
if (prime[i] == true)
# When i is prime number
# Modify the prime status of all next multiplier of location i
j = i * i
while (j <= n)
prime[j] = false
j += i
end
end
i += 1
end
print("\n All prime of (2 - ", n ,") is : \n [")
# Display prime element
i = 0
while (i <= n)
if (prime[i] == true)
print(" ", i)
end
i += 1
end
print(" ]\n")
end
end
def main()
obj = SieveOfEratosthenes.new()
# Test Case
obj.sieve_of_eratosthenes(25)
obj.sieve_of_eratosthenes(100)
obj.sieve_of_eratosthenes(200)
end
main()
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
// Scala Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
def sieve_of_eratosthenes(n: Int): Unit = {
if (n <= 1)
{
//When n are invalid to prime number
return;
}
// This are used to detect prime numbers
// Set the n all numbers is prime
var prime: Array[Boolean] = Array.fill[Boolean](n + 1)(true);
// Loop controlling variables
var i: Int = 0;
var j: Int = 0;
// Initial two numbers are not prime (0 and 1)
prime(0) = false;
prime(1) = false;
// We start to 2
i = 2;
while (i * i <= n)
{
if (prime(i) == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
j = i * i;
while (j <= n)
{
prime(j) = false;
j += i;
}
}
i += 1;
}
print("\n All prime of (2 - " + n + ") is : \n [");
//Display prime element
i = 0;
while (i <= n)
{
if (prime(i) == true)
{
print(" " + i);
}
i += 1;
}
print(" ]\n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var obj: SieveOfEratosthenes = new SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
}
}
Output
All prime of (2 - 25) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
// Swift Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
//Find all prime numbers which have smaller and equal to given number n
func sieve_of_eratosthenes(_ n: Int)
{
if (n <= 1)
{
//When n are invalid to prime number
return;
}
// This are used to detect prime numbers
// Set the n all numbers is prime
var prime: [Bool] = Array(repeating: true, count: n + 1);
// Loop controlling variables
var i: Int = 0;
var j: Int = 0;
// Initial two numbers are not prime (0 and 1)
prime[0] = false;
prime[1] = false;
// We start to 2
i = 2;
while (i * i <= n)
{
if (prime[i] == true)
{
//When i is prime number
//Modify the prime status of all next multiplier of location i
j = i * i;
while (j <= n)
{
prime[j] = false;
j += i;
}
}
i += 1;
}
print("\n All prime of (2 - ", n ,") is : \n [", terminator: "");
//Display prime element
i = 0;
while (i <= n)
{
if (prime[i] == true)
{
print(" ", i, terminator: "");
}
i += 1;
}
print(" ]\n", terminator: "");
}
}
func main()
{
let obj: SieveOfEratosthenes = SieveOfEratosthenes();
//Test Case
obj.sieve_of_eratosthenes(25);
obj.sieve_of_eratosthenes(100);
obj.sieve_of_eratosthenes(200);
}
main();
Output
All prime of (2 - 25 ) is :
[ 2 3 5 7 11 13 17 19 23 ]
All prime of (2 - 100 ) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 ]
All prime of (2 - 200 ) is :
[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 ]
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