Good Primes ( Trivia # 21 )

Erdös and Strauss defined a good prime as 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.

p (n)^2 > p (n − i) * p (n + i)

for all values of i from 1 to n − 1.

The infinite sequence of good primes starts :
5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149 ........