Good prime
A good prime is a prime number whose square is greater than the product of any two primes at the same number of positions before and after it in the sequence of primes.
A good prime satisfies the inequality
for all 1 ≤ i ≤ n−1. pn is the nth prime.
Example: The first primes are 2, 3, 5, 7 and 11. As for 5 both possible conditions
are fulfilled, 5 is a good prime.
There are infinitely many good primes. The first few good primes are
