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 12132013, 08:31 PM #1Member
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Prime Number Program in Java, simple program giving headache to me
hi friends,
First of all am new to programming,
while leaning some java program online i came across to this below Program.
Java Code:import java.util.*; class PrimeNumbers { public static void main(String args[]) { int n, status = 1, num = 3; Scanner in = new Scanner(System.in); System.out.println("Enter the number of prime numbers you want"); n = in.nextInt(); if (n == 1) { System.out.println("First prime number is :"); System.out.println(2); } else if (n > 1) { System.out.println("First "+n+" prime numbers are :"); System.out.println(2); } else { System.out.println("Enter the Valid Number"); } for ( int count = 2 ; count <=n ; ) { for ( int j = 2 ; j <= Math.sqrt(num) ; j++ ) { if ( num%j == 0 ) { status = 0; break; } } if ( status != 0 ) { System.out.println(num); count++; } status = 1; num++; } } }
Example Answer:
Enter the number of prime numbers you want
5
First 5 prime numbers are :
2
3
5
7
11
Java Code:for ( int count = 2 ; count <=n ; ) { for ( int j = 2 ; j <= Math.sqrt(num) ; j++ ) { if ( num%j == 0 ) { status = 0; break; } } if ( status != 0 ) { System.out.println(num); count++; } status = 1; num++; } }
how this loop code working even i tried by working the loop in paper but not getting the answer
 12132013, 09:19 PM #2Senior Member
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Re: Prime Number Program in Java, simple program giving headache to me
The outer loop simply iterates until the number of required primes has been met. The inner loop simply divides the test case by numbers from 2 to the square root of the test case. If all remainders are nonzero, then the test case is a prime and the count is updated.
Regards,
JimThe Java^{TM} Tutorials  SSCCE  Java Naming Conventions
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 12142013, 08:00 AM #3Member
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Re: Prime Number Program in Java, simple program giving headache to me
hi friend,
Thanks for your response
sorry to say its not clear yet (the inner loop)
Java Code:for ( int j = 2 ; j <= Math.sqrt(num) ; j++ ) { if ( num%j == 0 ) { status = 0; break; }
if you have time please explain me friend
 12142013, 08:15 PM #4Senior Member
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Re: Prime Number Program in Java, simple program giving headache to me
The % operator gives a remainder. So if num % j == 0 then j divides into num evenly so there is no remainder and thus num is not a prime. Once a zero remainder is detected, status is set to 0 and the loop breaks out. If, however, for the entire loop the status is never set to a 0, then the number must be a prime since no other numbers (j) divided it.
Regards,
JimThe Java^{TM} Tutorials  SSCCE  Java Naming Conventions
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 12142013, 08:39 PM #5
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Re: Prime Number Program in Java, simple program giving headache to me
... and please replace that loop condition by 'j*j <= num', it's cheaper ...
kind regards,
JosBuild a wall around Donald Trump; I'll pay for it.
 12142013, 11:20 PM #6Senior Member
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Re: Prime Number Program in Java, simple program giving headache to me
It seems that j*j is computed for each iteration of the inner loop so as num gets larger, the computation time of j*j might exceed the call of the sqrt function. Especially if the Math.sqrt(num) is hoisted out of the loop (either manually or by the compiler).
Regards,
JimLast edited by jim829; 12152013 at 12:26 AM.
The Java^{TM} Tutorials  SSCCE  Java Naming Conventions
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 12152013, 06:40 AM #7
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Re: Prime Number Program in Java, simple program giving headache to me
In the code above, Math.sqrt(num) is computed as many times as j*j would be computed; of course there are many more optimizations possbile here; b.t.w. a single multiplication can never be more expensive than a square root computation, especially when j*j <= n.
kind regards,
JosBuild a wall around Donald Trump; I'll pay for it.
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