$10001$st Prime

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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