Find the 10001st prime.

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.

What is the 10 001st prime number?

### One Possible Solution: Java

public class Problem_07 { public static void main(String args[]) { Problem_07 prob_07Obj = new Problem_07(); int Switch = 1; int counter = 1; int primes = 0; while(Switch == 1){ if (prob_07Obj.isPrime(counter)){ primes += 1; counter += 2; } else { counter += 2; } if (primes == 10001){ System.out.println(counter - 2); Switch = 0; } } } public boolean isPrime(int n) { int k = (int) Math.sqrt(n); for (int i = 2; i <= k; i++) { if (n % i == 0) return false; } return true; } }

### One Possible Solution: Python

# Python version 2.7.2 # Platform = win32 def isprime(n): """Checks number (n) for primality, and returns True of False.""" n = abs(int(n)) if n < 2: return False if n == 2: return True if not n & 1: return False for x in range(3, int(n ** 0.5) + 1, 2): if n % x == 0: return False return True def main(): """this example takes the numbers 1, 3, 5, 7, 9, etc., and checks for primality.""" Switch = 1 number = 1 primes = 1 # start with 1 since we do not count 2, which is a prime while Switch == 1: if isprime(number): primes += 1 if primes == 10001: # Stop at 10001, and print that number print number Switch = 0 number += 2 if __name__ == '__main__': main()

def isPrime(num):

primecount = 1

count = 1

while count 2):

return False

break

count += 1

return True

>>> def foundPrime():

primecount = 0

count = 1

limit = 10001

while (primecount < limit):

if (isPrime(count)):

primecount += 1

count += 1

else:

count += 1

return count

Hello, what seems to be wrong in my code?