為甚麼質數愈大愈疏?

I consider the question in your statement may not be correct.
Actually, it have be proved that the probability of finding a prime over the set of all natural numbers is a {constant} and is greater than zero!!!
This means that the gap between two consecutive primes will not always go larger than previous one, otherwise we will expect that the probability must be zero.
However, it is observed that the length of the largest gap is increasing as the number of primes increase.

2006-11-29 00:46:15 補充：
ychjae is right.
I have made an serious mistake.
I should be more careful before I posted my answer.

sumkinlok1答得不錯。質數愈大愈疏應該是對的。

由質數定理可知質數在自然數集的密度是0

照我想來由質數定理可知質數愈大愈疏

不過sigma 1/p 都是divergence﹐所以都不會太疏才是

2008-04-02 16:45:36 補充：
bjoechan君﹐你可以寄信要求yahoo服務部delete你的答案。理由是不實的知識

錯了！由質數定理可知質數在自然數集的密度是0
http://mathworld.wolfram.com/PrimeNumberTheorem.html

因為數愈大,有可能成為其他數的倍數的機會率愈大