The sum of the prime numbers between 31 and 60 is :

The correct option is 280.

To find the sum of the prime numbers strictly between 31 and 60, we first identify all the prime numbers in this range (excluding 31 and 60).

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Let's evaluate the numbers between 31 and 60:

• 37 is prime.
• 41 is prime.
• 43 is prime.
• 47 is prime.
• 53 is prime.
• 59 is prime.

Now, we add these prime numbers together step-by-step:

$\text{Sum}=37+41+43+47+53+59$

Adding them sequentially:

• 37 + 41 = 78
• 78 + 43 = 121
• 121 + 47 = 168
• 168 + 53 = 221
• 221 + 59 = 280

Therefore, the sum of the prime numbers between 31 and 60 is 280.