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# What is the sum of all of the two-digit primes that are greater than 12 but less than 99 and are still prime when their two digits are interchanged?

Updated: 4/28/2022

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Q: What is the sum of all of the two-digit primes that are greater than 12 but less than 99 and are still prime when their two digits are interchanged?
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### What is the sum of all the two digit primes that are greater than 12 but less than 99 and are still prime when their two digits are interchanged?

The answer is 418. You are copying a MathCounts problem.

### How many prime numbers from 11 to 100 are there whose digits when interchanged give a prime number?

There are four pair of mirror primes.

### Are there any palindromic primes with an even number of digits greater than 11?

No, 11 is the only palindromic prime with an even number of digits.

### What is the longest number string that only consists of prime numbers?

The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.

### What are the largest three digit prime number whose digits are all primes?

The largest three digit prime number whose digits are all primes is 773.

### Which the largest 3 digit prime number whose digits all primes?

The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.

Three of them.

373

Composite

### What is a symmetric prime?

18713, 18719, 18731, 18743, 18749 18731 is the center of the 5 primes. Notice that the distance from it to each on the the left and right is the same. Now do you see what a symmetrical primes is?

### How many primes are there?

A boatloadThere are in infinite number or primes, and they are still being discovered. The people who discover the prime that has more than 10 million digits will win \$100,000. I'm pretty sure they're getting close, something like 9.8 million digits.