Crap. I just discovered something important.

[Bitcoin Magazine]

There is an infinite amount of prime numbers.  There is an infinite amount of integers

are there more prime numbers than integers

but how can infinity be greater than infinity
oh i know

cause it's INFINITY!!!   

[Vod]

There is an infinite amount of prime numbers.  There is an infinite amount of integers

are there more prime numbers than integers

but how can infinity be greater than infinity
oh i know

cause it's INFINITY!!!  

The flaw in your logic is that there are more prime numbers than integers.

There are exactly the same amount of each - infinite.

(And how is this important?)   

[Reuben]

Since when is anything in this subforum important?

[Vod]

Since when is anything in this subforum important?

When the title says it is!

[Dogtanian]

Since when is anything in this subforum important?

When the title says it is!

Haha, but I think this thread would obviously suggest otherwise.

[phpTaskForce]

There is an infinite amount of prime numbers.  There is an infinite amount of integers

are there more prime numbers than integers

but how can infinity be greater than infinity
oh i know

cause it's INFINITY!!!  

You can always approximately determine number of primes less than N.



So, according to this formula, if we choose number 1000000, only 7% numbers that are less then 1 million are primes.
If we choose 1 billion, only 5% are primes.
As you increase N, the proportion of primes is decreasing.

reference: http://mathworld.wolfram.com/PrimeNumberTheorem.html

[roslinpl]

There is an infinite amount of prime numbers.  There is an infinite amount of integers

are there more prime numbers than integers

but how can infinity be greater than infinity
oh i know

cause it's INFINITY!!!   

Omg my friend I see you have a problem with those prime numbers This is not a first thread of yours where you talk about it.
I already told you - it is better to stay away from prime numbers

It can make you crazy And there is indeed a lack in your theory. Infinite is not a number. Infinite is infinite - before you mess with prime numbers better start from a definition of infinite.

[counter]

well they say you learn something new everday but I'm not sure that this qualifies because I have more questions after reading this threa then before I read it,  I thank your for sharing your findings however.

[kuroman]

There is an infinite amount of prime numbers.  There is an infinite amount of integers

are there more prime numbers than integers

but how can infinity be greater than infinity
oh i know

cause it's INFINITY!!!   

Infinity can be bigger than another infinity aka undefined limits. Simple example lim(x->+inf) ln(x) / x  = 0    (you have lim x = +inf and lim ln(x)= +inf but x inf is stronger than lnx inf and x tends to inf much faster than lnx)