Sum of all the prime numbers between 70 and 100 is:

Options

A. 492
B. 385
C. 421
D. 419

Answer

To find the sum of all the prime numbers between 70 and 100, we will first identify the prime numbers in that range and then calculate their sum.

### Step-by-Step Solution:

1. **Identify the Prime Numbers between 70 and 100**:
- A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
- The prime numbers between 70 and 100 are:
- 71
- 73
- 79
- 83
- 89
- 97

2. **List the Prime Numbers**:
- We have identified the prime numbers: 71, 73, 79, 83, 89, and 97.

3. **Calculate the Sum of the Prime Numbers**:
- Now, we will add these prime numbers together:
- \( 71 + 73 = 144 \)
- \( 144 + 79 = 223 \)
- \( 223 + 83 = 306 \)
- \( 306 + 89 = 395 \)
- \( 395 + 97 = 492 \)

4. **Final Result**:
- The sum of all the prime numbers between 70 and 100 is **492**.