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Java

Posted by Nirbhay Agarwal
Nirbhay Agarwal
2,852 Points

Prime numbers I understand are not divisible by 2 further I dnt understand the logic but

Can someone explain the logic of this program and how is it working

Nirbhay Agarwal
Nirbhay Agarwal
2,852 Points

public boolean isPrimeNumber(int number){

    for(int i=2; i<=number/2; i++){
        if(number % i == 0){
            return false;
        }
    }
    return true;

How the loop will know when to stop

Jason Anello
Jason Anello
Courses Plus Student 94,610 Points

Hi Nirbhay,

In case you're trying to prepare for interview questions, this solution can be further optimized.

You don't have to check past the floor of the square root of the number. This further reduces the number of modulus operations you have to perform.

Take 97 as an example. If you go halfway then you'll do 47 mod operations to find out that 97 is prime. i goes from 2 to 48

If you only go up to the floor of the square root of the number, which is 9, then you only have to do 8 mod operations. i goes from 2 to 9

That's a significant reduction.

1 Answer

Steven Parker
Steven Parker
231,072 Points
Steven Parker
Steven Parker
231,072 Points

:point_right: This is basic logic for testing if a number is prime.

If you try dividing a number by all the numbers between 2 and half of itself, then if any of those divisions have no remainder (the "%" operator), then the number is not prime. You only need to test up to half of itself since no number can be evenly divided by a number larger than half of itself.

Finally, after trying all the potential numbers to divide, if you have not already returned false, then you know you have a prime number and you return true.

Does that clear it up?

Nirbhay Agarwal
Nirbhay Agarwal
2,852 Points

Yes surely it does