eratosthenes algorithm code example
Example 1: prime of sieve
#include<iostream>
#include<math.h>
using namespace std;
void primeofsieve(long long int n)
{
long long int arr[n]={};
for(int i=2;i<=sqrt(n);i++)
{
for(long long int j=i*i;j<=n;j+=i)
arr[j]=1;
}
for(long long int i=2;i<=n;i++)
{
if(arr[i]==0)
cout<<i<<" ";
}
}
int main()
{
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
long long int n;
cin>>n;
cout<<"PRIME NUMBERs ARE : ";
primeofsieve(n);
return 0;
}
Example 2: sieve of eratosthenes pseudocode
find primes up to N
For all numbers a : from 2 to sqrt(n)
IF a is unmarked THEN
a is prime
For all multiples of a (a < n)
mark multiples of as composite
All unmarked nummbers are prime!