5

This number is a prime.

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There are currently (August 2002) 5 known Mersenne primes with a prime number of digits. [Rupinski]

The smallest prime comparable to all minimal primes in base 2. [Rupinski]

The sum of all minimal primes in base 2 is prime. [Rupinski]

The largest minimal prime in base 4. [Rupinski]

The only prime p such that p divides the p^th Fibonacci number. All other primes divide either the (p-1)^st Fibonacci number if p = 1,4 mod 5 or (p+1)^st Fibonacci number if p = 2,3 mod 5. [Rupinski]