What is the sum of the prime numbers between 30 and 40?

To find the sum of the prime numbers between 30 and 40, we first need to identify which numbers in that range are prime. The prime numbers are those greater than 1 that have no positive divisors other than 1 and themselves.

The prime numbers between 30 and 40 are 31, 37, and we can check for primality as follows:

• 31 is only divisible by 1 and 31, so it is prime.

• 32 is divisible by 1, 2, 4, 8, 16, and 32, so it is not prime.

• 33 is divisible by 1, 3, 11, and 33, making it not prime.

• 34 is divisible by 1, 2, 17, and 34, so it is not prime.

• 35 is divisible by 1, 5, 7, and 35, thus not prime.

• 36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, and 36, making it not prime.

• 37 is only divisible by