### Problem Statement

Write a program to print the sum of the first `n` prime numbers, where `n` is provided as input from the user.

### Handling Input

``````x = int(input("Enter a positive integer: "))
while x <= 0:
print("Invalid input!")
x = int(input("Enter a positive integer: "))
n = x
``````

### Prime Numbers

``````for i in range(2, x):
``````

### Prime Numbers

``````for i in range(2, x):
if x % i == 0:
# i equally divides x
``````

### Prime Numbers

``````is_prime = True
for i in range(2, x):
if x % i == 0:
is_prime = False
# what if we get here?
``````

### Prime Numbers

``````is_prime = True
for i in range(2, x):
if x % i == 0:
is_prime = False
<break
# what if we get here?
``````

### Prime Numbers

``````is_prime = True
for i in range(2, x):
if x % i == 0:
is_prime = False
# is_prime stores whether nx is prime or not
``````

### Full Program

``````x = int(input("Enter a positive integer: "))
while x <= 0:
print("Invalid input!")
x = int(input("Enter a positive integer: "))
n = x
count = 0
x = 2
total = 0
while count < n:
is_prime = True
for i in range(2, x):
if x % i == 0:
is_prime = False
if is_prime:
total = total + x
count = count + 1
x = x + 1
print(f"The sum of the first {n} prime numbers is {total}")
``````

### Testing

• Input Code
• Outer While Loop
• Inner For Loop

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100