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Good prime : ウィキペディア英語版
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
:p_n^2>p_ \cdot p_
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
:5^2 >3 \cdot 7
:5^2 >2 \cdot 11
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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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