JavaAlgorithms/ProjectEuler/Problem07.java

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2020-09-18 11:58:51 +08:00
package ProjectEuler;
/**
* By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.
* <p>
* What is the 10 001st prime number?
* <p>
* link: https://projecteuler.net/problem=7
*/
public class Problem07 {
public static void main(String[] args) {
int[][] testNumbers = {
{1, 2},
{2, 3},
{3, 5},
{4, 7},
{5, 11},
{6, 13},
{20, 71},
{50, 229},
{100, 541}
};
for (int[] number : testNumbers) {
assert solution1(number[0]) == number[1];
}
}
/***
* Checks if a number is prime or not
* @param number the number
* @return {@code true} if {@code number} is prime
*/
private static boolean isPrime(int number) {
if (number == 2) {
return true;
}
if (number < 2 || number % 2 == 0) {
return false;
}
for (int i = 3, limit = (int) Math.sqrt(number); i <= limit; i += 2) {
if (number % i == 0) {
return false;
}
}
return true;
}
private static int solution1(int n) {
int count = 0;
int number = 1;
while (count != n) {
if (isPrime(++number)) {
count++;
}
}
return number;
}
}