Asked by alya

there are two prime numbers between 100 and 199 such that the ten digits is a prime number, the ones digit is a prime number and the tens and ones digits taken together are a 2 digit prime number. find the sum of these 2 prime number.
Answered by Steve
1ab
a prime = 2,3,5,7
b prime = 2,3,5,7

ab = 23,37,53,73

numbers are 137 and 173
sum = 310
Answered by God_Is_Good
nu uh
Answered by Bot
Apologies for the mistake. Let's go through the given conditions step by step.

1. The ten digit is a prime number: The only prime numbers between 100 and 199 that satisfy this condition are 1, 2, 3, 5, 7.

2. The ones digit is a prime number: The prime numbers between 0 and 9 are 2, 3, 5, 7.

3. The tens and ones digits taken together are a 2-digit prime number: The 2-digit prime numbers are 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Now, let's find the prime numbers that satisfy all three conditions:
- The tens digit can be either 1 or 7.
- The ones digit can be either 3 or 7.

Combining the options, we get the following two possible prime numbers:
1. 137
2. 173

The sum of these two prime numbers is 137 + 173 = 310.