Pierpont prime
In number theory, a Pierpont prime is a prime number of the form
for some nonnegative integers u and v. That is, they are the prime numbers p for which p − 1 is 3-smooth. Wikipedia
First terms: 2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889
Largest known term: 81 × 220,498,148 + 1