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34 changes: 34 additions & 0 deletions sieve_for_prime.cpp
Original file line number Diff line number Diff line change
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//sieve method is used in many questions to generate prime numbers.
//its beauty is its low complexity i.e O(n*log(log(n)))


#include <bits/stdc++.h>
using namespace std;

void SieveOfEratosthenes(int n)
{
bool prime[n+1];
memset(prime, true, sizeof(prime));

for (int p=2; p*p<=n; p++)
{
if (prime[p] == true)
{
for (int i=p*p; i<=n; i += p)
prime[i] = false;
}
}

for (int p=2; p<=n; p++)
if (prime[p])
cout << p << " ";
}

int main()
{
int n;
cout<<"Enter the value upto which you want prime numbers";
cin>>n;
SieveOfEratosthenes(n);
return 0;
}