Problem 3: Sum of Primes

[Elusive]

What is the sum of a range of primes, specified by order (inclusive)?

Inputs: Start and end numbers, as integers
Outputs: Sum of primes

Example:

Code:


Start: 1st
End: 5th
Sum: 2 + 3 + 5 + 7 + 11 = 28


Code:


Start: 3rd
End: 6th
Sum: 5 + 7 + 11 + 13 = 36


Code:


Start: 125th
End: 3576th
Sum: 691 + 701 + ... + 33377 + 33391 = 56134516


Tips:

1. Make sure you did Problem 2 properly.

Extension:
Find the product of the primes. Watch for integer overflows!