What is the largest two digit prime number whose digits are both
prime numbers?
I will be happy to critique your thinking.
To find the largest two-digit prime number whose digits are both prime numbers, you can list down all the two-digit prime numbers and check if both digits are prime. Here are the steps:
1. Start with the highest two-digit number, which is 99.
2. Check if both digits are prime. In this case, 9 is not a prime number.
3. Move to the next two-digit number, 98.
4. Check if both digits are prime. In this case, 9 is not a prime number.
5. Continue this process until you find a number where both digits are prime.
Let's start listing down the two-digit prime numbers and check if the digits are prime:
- 97: Both digits (9 and 7) are prime numbers.
- 89: Both digits (8 and 9) are prime numbers.
- 83: Both digits (8 and 3) are prime numbers.
- 79: Both digits (7 and 9) are prime numbers.
- 73: Both digits (7 and 3) are prime numbers.
We have found five two-digit prime numbers whose digits are both prime numbers. Now, we need to determine the largest one among them.
Comparing all these numbers, we find that the largest two-digit prime number whose digits are both prime numbers is 97.