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Java How To -Check if a Number Is Prime


Check if a Number Is Prime

A prime number is only divisible by 1 and itself.

To test if a number is prime, we try dividing it by every number from 2 up to its square root:

Example

int n = 29;  // Number used to checkboolean isPrime = n > 1;for (int i = 2; i * i <= n; i++) {  if (n % i == 0) {    isPrime = false;    break;  }}System.out.println(n + (isPrime ? " is prime" : " is not prime"));

Try it Yourself »

Explanation: We start with the number29. Since 29 is greater than 1, the loop checks if it can be divided evenly by any number from 2 up to the square root of 29 (about 5.38). The numbers 2, 3, 4, and 5 do not divide 29 without a remainder, so the program concludes that29 is prime.




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