Question:
The difference between the largest and the smallest prime numbers below 100 is a multiple of two prime numbers. What is the sum of these prime numbers?
The difference between the largest and the smallest prime numbers below 100 is a multiple of two prime numbers. What is the sum of these prime numbers?
Updated On: Dec 16, 2025
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The Correct Option is C
Solution and Explanation
To determine the sum of the prime numbers for which the difference between the largest and smallest prime numbers below 100 is a multiple, we will solve this question step-by-step.
- Identify the largest and smallest prime numbers below 100:
- The largest prime number below 100 is 97.
- The smallest prime number is 2.
- Calculate the difference between these two prime numbers:
97 - 2 = 95
- Determine the prime factors of 95:
- 95 can be factored into 5 \times 19.
- Both 5 and 19 are prime numbers.
- Find the sum of these prime numbers:
5 + 19 = 24
- Thus, the sum of the prime numbers 5 and 19 is 24.
The correct answer is 24.
This matches the given correct answer option.
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