**Twin primes**are any two prime numbers that have a difference of two, such as 3 and 5 or 29 and 31.

**Mersenne primes**are prime numbers that are one less than a power of 2. In other words, they can be represented by the expression (2^p)-1, where p is a prime number. Examples include 3, 7, 31, etc.

You may have noticed that 3 is in both examples listed above. This brings the question:

*Can you find another Mersenne prime that is the smaller of two Twin Primes?*

** -- OR -- **

*Can you explain why no other examples exist?*

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