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Topic: Crap. I just discovered something important. (Read 441 times)

hero member
Activity: 588
Merit: 501
April 25, 2014, 09:13:24 PM
#9
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!!!   Shocked

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)
hero member
Activity: 798
Merit: 500
Time is on our side, yes it is!
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.
legendary
Activity: 2212
Merit: 1199
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!!!   Shocked

Omg my friend I see you have a problem with those prime numbers Smiley 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 Smiley

It can make you crazy Smiley 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.

Smiley

full member
Activity: 211
Merit: 100
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!!!   Shocked

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
hero member
Activity: 756
Merit: 500
Since when is anything in this subforum important?

When the title says it is!

Haha, but I think this thread would obviously suggest otherwise.
Vod
legendary
Activity: 3668
Merit: 3010
Licking my boob since 1970
Since when is anything in this subforum important?

When the title says it is!
newbie
Activity: 42
Merit: 0
Since when is anything in this subforum important?
Vod
legendary
Activity: 3668
Merit: 3010
Licking my boob since 1970
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!!!   Shocked

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?)   Wink
sr. member
Activity: 252
Merit: 250
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!!!   Shocked
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