Okay, I can help you with that. I will write a Python script to find the
first 50 prime numbers and then calculate their sum.
Here's the plan:
1. Create a function to check if a number is prime.
2. Create a function to generate the first `n` prime numbers.
3. Call the generation function for the first 50 primes.
4. Sum the resulting list of primes.
Here is the code to perform this calculation:
```PYTHON
def is_prime(num):
"""Checks if a number is prime."""
if num <= 1:
return False
if num <= 3:
return True
if num % 2 == 0 or num % 3 == 0:
return False
i = 5
while i * i <= num:
if num % i == 0 or num % (i + 2) == 0:
return False
i += 6
return True
def get_first_n_primes(n):
"""Generates a list of the first n prime numbers."""
primes = []
num = 2
while len(primes) < n:
if is_prime(num):
primes.append(num)
num += 1
return primes
# Get the first 50 prime numbers
first_50_primes = get_first_n_primes(50)
# Calculate the sum of these prime numbers
sum_of_primes = sum(first_50_primes)
print(f"The first 50 prime numbers are: {first_50_primes}")
print(f"The sum of the first 50 prime numbers is: {sum_of_primes}")
\```
The first 50 prime numbers are: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,
37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107,
109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191,
193, 197, 199, 211, 223, 227, 229]
The sum of the first 50 prime numbers is: 5117