Print all prime numbers less than or equal to N

Given a number N, the task is to print all prime numbers less than or equal to N.
Examples:

Input: 7
Output: 2, 3, 5, 7

Input: 13
Output: 2, 3, 5, 7, 11, 13 

Naive Approach: Iterate from 2 to N, and check for prime. If it is a prime number, print the number. 
Below is the implementation of the above approach: 

C++

// C++ program to print all primes less than N
#include <bits/stdc++.h>
using namespace std;

// function check whether a number is prime or not
bool isPrime(int n)
{
    // Corner case
    if (n <= 1)
        return false;

    // Check from 2 to n-1
    for (int i = 2; i < n; i++)
        if (n % i == 0)
            return false;

    return true;
}

// Function to print primes
void printPrime(int n)
{
    for (int i = 2; i <= n; i++)
        if (isPrime(i))
            cout << i << " ";
}

// Driver Code
int main()
{
    int n = 7;
    printPrime(n);
}

C

// C program to print all primes less than N
#include <stdbool.h>
#include <stdio.h>

// function check whether a number is prime or not
bool isPrime(int n)
{
    // Corner case
    if (n <= 1)
        return false;

    // Check from 2 to n-1
    for (int i = 2; i < n; i++)
        if (n % i == 0)
            return false;

    return true;
}

// Function to print primes
void printPrime(int n)
{
    for (int i = 2; i <= n; i++)
        if (isPrime(i))
            printf("%d ", i);
}

// Driver Code
int main()
{
    int n = 7;
    printPrime(n);
}

// This code is contributed by Sania Kumari Gupta

Java

// Java program to print
// all primes less than N
class GFG {
    // function check whether
    // a number is prime or not
    static boolean isPrime(int n)
    {
        // Corner case
        if (n <= 1)
            return false;

        // Check from 2 to n-1
        for (int i = 2; i < n; i++)
            if (n % i == 0)
                return false;

        return true;
    }

    // Function to print primes
    static void printPrime(int n)
    {
        for (int i = 2; i <= n; i++) {
            if (isPrime(i))
                System.out.print(i + " ");
        }
    }

    // Driver Code
    public static void main(String[] args)
    {
        int n = 7;
        printPrime(n);
    }
}

// This code is contributed
// by ChitraNayal

Python3

# Python3 program to print
# all primes less than N

# Function to check whether
# a number is prime or not .
def isPrime(n):

    # Corner case
    if n <= 1 :
        return False

    # check from 2 to n-1
    for i in range(2, n):
        if n % i == 0:
            return False

    return True

# Function to print primes
def printPrime(n):
    for i in range(2, n + 1):
        if isPrime(i):
            print(i, end = " ")

# Driver code
if __name__ == "__main__" :
    n = 7
    # function calling
    printPrime(n)

# This code is contributed
# by Ankit Rai

C#

// C# program to print
// all primes less than N
using System;

class GFG
{
// function check whether
// a number is prime or not
static bool isPrime(int n)
{

    // Corner case
    if (n <= 1)
        return false;

    // Check from 2 to n-1
    for (int i = 2; i < n; i++)
        if (n % i == 0)
            return false;

    return true;
}

// Function to print primes
static void printPrime(int n)
{
for (int i = 2; i <= n; i++)
{
    if (isPrime(i))
        Console.Write(i + " ");
}
}

// Driver Code
public static void Main()
{
    int n = 7;
    printPrime(n);
}
}

// This code is contributed
// by ChitraNayal

PHP

<?php
// PHP program to print
// all primes less than N

// function check whether
// a number is prime or not
function isPrime($n)
{
    // Corner case
    if ($n <= 1)
        return false;

    // Check from 2 to n-1
    for ($i = 2; $i < $n; $i++)
        if ($n % $i == 0)
            return false;

    return true;
}

// Function to print primes
function printPrime($n)
{
    for ($i = 2; $i <= $n; $i++)
    {
        if (isPrime($i))
            echo $i . " ";
    }
}

// Driver Code
$n = 7;
printPrime($n);

// This code is contributed
// by ChitraNayal
?>

Javascript

<script>

// Javascript program to print all primes
// less than N


// function check whether a number
// is prime or not
function isPrime(n)
{
    // Corner case
    if (n <= 1)
        return false;

    // Check from 2 to n-1
    for (let i = 2; i < n; i++)
        if (n % i == 0)
            return false;

    return true;
}
// Function to print primes
function printPrime(n)
{
    for (let i = 2; i <= n; i++) {
        if (isPrime(i))
            document.write(i +" ");
    }
}
// Driver Code

    let n = 7;
    printPrime(n);

// This code is contributed by Mayank Tyagi

</script>

Output:

2 3 5 7

Time Complexity: O(N * N)
Auxiliary Space: O(1)

A better approach is based on the fact that one of the divisors must be smaller than or equal to ?n. So we check for divisibility only till ?n. 

C++

// C++ program to print all primes
// less than N
#include <bits/stdc++.h>
using namespace std;

// function check whether a number
// is prime or not
bool isPrime(int n)
{
    // Corner cases
    if (n <= 1)
        return false;
    if (n <= 3)
        return true;

    // This is checked so that we can skip
    // middle five numbers in below loop
    if (n % 2 == 0 || n % 3 == 0)
        return false;

    for (int i = 5; i * i <= n; i = i + 6)
        if (n % i == 0 || n % (i + 2) == 0)
            return false;

    return true;
}

// Function to print primes
void printPrime(int n)
{
    for (int i = 2; i <= n; i++) {
        if (isPrime(i))
            cout << i << " ";
    }
}
// Driver Code
int main()
{
    int n = 7;
    printPrime(n);
}

Java

// Java program to print
// all primes less than N
import java.io.*;

class GFG
{

// function check
// whether a number
// is prime or not
static boolean isPrime(int n)
{
    // Corner cases
    if (n <= 1)
        return false;
    if (n <= 3)
        return true;

    // This is checked so
    // that we can skip
    // middle five numbers
    // in below loop
    if (n % 2 == 0 ||
        n % 3 == 0)
        return false;

    for (int i = 5;
             i * i <= n; i = i + 6)
        if (n % i == 0 ||
            n % (i + 2) == 0)
            return false;

    return true;
}

// Function to print primes
static void printPrime(int n)
{
    for (int i = 2; i <= n; i++)
    {
        if (isPrime(i))
            System.out.print(i + " ");
    }
}

// Driver Code
public static void main (String[] args)
{
    int n = 7;
    printPrime(n);
}
}

// This code is contributed
// by anuj_67.

C#

// C# program to print
// all primes less than N
using System;

class GFG
{

// function check
// whether a number
// is prime or not
static bool isPrime(int n)
{
    // Corner cases
    if (n <= 1)
        return false;
    if (n <= 3)
        return true;

    // This is checked so
    // that we can skip
    // middle five numbers
    // in below loop
    if (n % 2 == 0 ||
        n % 3 == 0)
        return false;

    for (int i = 5;
             i * i <= n; i = i + 6)
        if (n % i == 0 ||
            n % (i + 2) == 0)
            return false;

    return true;
}

// Function to print primes
static void printPrime(int n)
{
    for (int i = 2; i <= n; i++)
    {
        if (isPrime(i))
            Console.Write(i + " ");
    }
}

// Driver Code
public static void Main ()
{
    int n = 7;
    printPrime(n);
}
}

// This code is contributed
// by ChitraNayal

Python3

# function to check if the number is
# prime or not
def isPrime(n) :
    # Corner cases
    if (n <= 1) :
        return False
    if (n <= 3) :
        return True

    # This is checked so that we can skip
    # middle five numbers in below loop
    if (n % 2 == 0 or n % 3 == 0) :
        return False

    i = 5
    while(i * i <= n) :
        if (n % i == 0 or n % (i + 2) == 0) :
            return False
        i = i + 6

    return True

# print all prime numbers
# less than equal to N
def printPrime(n):
    for i in range(2, n + 1):
        if isPrime(i):
            print (i, end =" ")

n = 7
printPrime(n)

Javascript

<script>
// Javascript program to print all primes
// less than N

// function check whether a number
// is prime or not
function isPrime(n)
{

    // Corner cases
    if (n <= 1)
        return false;
    if (n <= 3)
        return true;

    // This is checked so that we can skip
    // middle five numbers in below loop
    if (n % 2 == 0 || n % 3 == 0)
        return false;

    for (let i = 5; i * i <= n; i = i + 6)
        if (n % i == 0 || n % (i + 2) == 0)
            return false;

    return true;
}

// Function to print primes
function printPrime(n)
{
    for (let i = 2; i <= n; i++) {
        if (isPrime(i))
            document.write(i + " ");
    }
}

// Driver Code
let n = 7;
printPrime(n);

// This code is contributed by subhammahato348.
</script>

PHP

<?php
// PHP program to print
// all primes less than N

// function check whether
// a number is prime or not
function isPrime($n)
{
    // Corner cases
    if ($n <= 1)
        return false;
    if ($n <= 3)
        return true;

    // This is checked so that
    // we can skip middle five
    // numbers in below loop
    if ($n % 2 == 0 || $n % 3 == 0)
        return false;

    for ($i = 5;
         $i * $i <= $n; $i = $i + 6)
        if ($n % $i == 0 ||
            $n % ($i + 2) == 0)
            return false;

    return true;
}

// Function to print primes
function printPrime($n)
{
    for ($i = 2; $i <= $n; $i++)
    {
        if (isPrime($i))
            echo $i . " ";
    }
}

// Driver Code
$n = 7;
printPrime($n);

// This code is contributed
// by ChitraNayal
?>

Output:

2 3 5 7

Time Complexity: O(N^3/2)

Auxiliary Space: O(1)
The best solution is to use Sieve of Eratosthenes. The time complexity is O(N * loglog(N))