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## Arnold and Carlos: Part 1

Math brain teasers require computations to solve.

 Puzzle ID: #32391 Fun: (2.71) Difficulty: (2.06) Category: Math Submitted By: HiImDavid

Arnold and Carlos love math puzzles. They are constantly making them up for each other to solve. One day, Arnold presents his friend Carlos with a problem. This problem has four clues. Here is the problem Arnold gave:

"I am thinking of a mystery number.

1. The mystery number is a 2-digit prime number.
2. When the digits of the mystery number are reversed, another 2-digit prime number is formed.
3. When the original number is added to the next highest prime number, the sum forms a square number.
4. When the mystery number is added to the 2nd prime number after it, the sum is evenly divisible by 4.

What is the mystery number?"

Can you help Carlos solve Arnold's problem?

### Hint

Make a list and eliminate possibilities due to the clues provided. Eventually, it leads to 1 answer.
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