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

What is the $10\,001$st prime number?

### To find the 10,001st prime number, you can use a simple prime number generation algorithm. Here’s a Python code snippet to accomplish this:

def is_prime(n):

if n <= 1:

return False

if n <= 3:

return True

if n % 2 == 0 or n % 3 == 0:

return False

i = 5

while i * i <= n:

if n % i == 0 or n % (i + 2) == 0:

return False

i += 6

return True

def find_nth_prime(n):

count = 0

num = 2

while count < n:

if is_prime(num):

count += 1

num += 1

return num – 1

nth_prime = find_nth_prime(10001)

print(“The 10,001st prime number:”, nth_prime)

Running this code will give you the 10,001st prime number!

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