# 5

This number is a prime.

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The only prime whose the square is composed of only prime digits. [Loungrides]

The only non-titanic prime of form (n^n+1)/(n-1), where n is an integer, (case n=2). [Loungrides]

The first term in the only sexy prime quintuplet, (5, 11, 17, 23, 29). Note that 112317529 is the smallest prime formed by concatenating the terms of this quintuplet. [Loungrides]

The only known prime of form 2^p+1, where p is prime, (case p=2). [Loungrides]

(5, 7, 11, 13) is the first tetrad of successive primes p < q < r < s such that (p+q) divides r*s+1, i.e., (5+7) divides 11*13+1. The next such tetrad is (47, 53, 59, 61). Is there other such tetrad? [Loungrides]