The difference between the greatest and least prime numbers which are less than 100 is

Options

A. a) 96
B. b) 97
C. c) 94
D. d) 95

Answer

To solve the question, "The difference between the greatest and least prime numbers which are less than 100," we can follow these steps:

### Step-by-Step Solution:

1. **Identify the smallest prime number less than 100:**
- The smallest prime number is 2.
- Therefore, the least prime number less than 100 is **2**.

2. **Identify the greatest prime number less than 100:**
- The greatest prime number less than 100 is 97.
- Therefore, the greatest prime number less than 100 is **97**.

3. **Calculate the difference between the greatest and least prime numbers:**
- We need to find the difference:
\[ \text{Difference} = \text{Greatest Prime} - \text{Least Prime} = 97 - 2 \]

4. **Perform the subtraction:**
- Calculate \( 97 - 2 \):
\[ 97 - 2 = 95 \]

5. **State the final answer:**
- The difference between the greatest and least prime numbers which are less than 100 is **95**.