# Sieve of Eratosthenes in Java

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Hello All, I am working on a java project and I am confused sieve of eratosthenes coding problem. The problem statement is Given a number n, print all primes smaller than or equal to n. It is also given that n is a small number. I am trying to solve this problem by Efficient Approach

A prime number is a number that is divisible by only two numbers – themselves and 1

Example:
Input: n = 10
Output: 2 3 5 7
I have checked sieve of eratosthenes coding problem on google and I have found this problem post https://www.interviewbit.com/blog/sieve-of-eratosthenes/ I am sharing one code example. Can anyone explain to me, how sieve or eratosthenes program works? or explain with another example?

```class SieveOfEratosthenes
void sieveOfEratosthenes(int n)

boolean prime[] = new boolean[n + 1];
for (int i = 0; i <= n; i++)
prime[i] = true;

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 i = 2; i <= n; i++)

if (prime[i] == true)
System.out.print(i + " ");

```

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