67

This number is a prime.

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John Pilkins ©2003

The sum of all idoneal primes. (A positive integer m is idoneal if and only if it cannot be written as ab + bc + ac for integer a, b, and c with 0 < a < b < c.) [Loungrides]

The only double-digit prime ab such that p^b+[R(p)]^a is prime, where R(p) is the reversal of p, i.e., 67^7+76^6 = 6253411533899. [Loungrides]

The first prime midway between a square and a cube, (3^2 and 5^3). [Loungrides]

The smallest polite prime that is a concatenation of two successive polite numbers, i.e., (6=1+2+3, 7=3+4). [Loungrides]

The smaller of only two non-titanic primes of form n^(n-1)+(n-1) for n a composite number, (case n=4), i.e., 4^3+3. The other prime is for n=10. [Loungrides]