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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 ''n''th 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 good primes are :5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149 . ==References== 〔 fr:Liste de nombres premiers#Bon nombre premier
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