jzbakos - 4 months ago 27

Java Question

I am attempting to solve a challenge, but I have hit a roadblock. I am a beginner programmer attempting to add tens of thousands of numbers. If I wait long enough, my program can easily yield the correct sum, however, I am looking for a more efficient method.

**What is an efficient method for adding thousands of numbers quickly?**

Side note: I have been reading about modular arithmetic, but I cannot quite wrap my head around it. Not sure if that could be useful for this situation.

I am attempting to get the sum of every prime number below 2 000 000. Here is my code so far:

`public class Problem10 {`

public static void main (String[] args) {

long sum = 0L;

for(long i = 1L; i < 2000000; i++) {

if(isPrimeNumber((int)i)) {

sum += i;

}

}

System.out.println(sum);

}

public static boolean isPrimeNumber(int i) {

int factors = 0;

int j = 1;

while (j <= i) {

if (i % j == 0) {

factors++;

}

j++;

}

return (factors == 2);

}

}

Answer

You can replace your `isPrimeNumber()`

method with this to speed it up substantially.

```
public static boolean isPrimeNumber(int i) {
if (i==2) return true;
if (i==3) return true;
if (i%2==0) return false;
if (i%3==0) return false;
int j = 5;
int k = 2;
while (j * j <= i) {
if (i % j == 0) return false;
j += k ;
k = 6 - k;
}
return true;
}
```