Learned something AMAZING today

[Syringer]

Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say? I must agree with that wholeheartedly.

 

[Nocturnal]

My cat's breath smells like cat food.

 

[screw3d]

Who the hell cares when it has nothing to do with spiders?

 

[MacBaine]

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say, and I must agree with that wholeheartedly.

And how does that work? You have to restrict the set you are choosing from somehow, as we have no idea how many primes there are... and the number of primes decreases dramatically as we keep counting.

I have doubts about this formula... could you tell us how you came about it? (That is, what was shown to you)

 

[Maleficus]

Originally posted by: screw3d
Who the hell cares when it has nothing to do with spiders?

The spider has been tutoring him in math.

 

[Description]

<--- not amazed

 

[Syringer]

Originally posted by: MacBaine

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say, and I must agree with that wholeheartedly.

And how does that work? You have to restrict the set you are choosing from somehow, as we have no idea how many primes there are... and the number of primes decreases dramatically as we keep counting.

I have doubts about this formula... could you tell us how you came about it? (That is, what was shown to you)

No idea how it works out, but you can search around for this..
http://mathworld.wolfram.com/RelativelyPrime.html

 

[MAME]

actually that's not true, Cantor proves that it's false in his book.

 

[bacillus]

that doesn't add up! :laugh:

 

[MAME]

Originally posted by: MacBaine

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say, and I must agree with that wholeheartedly.

And how does that work? You have to restrict the set you are choosing from somehow, as we have no idea how many primes there are... and the number of primes decreases dramatically as we keep counting.

I have doubts about this formula... could you tell us how you came about it? (That is, what was shown to you)

given the set of all natural numbers, there's infinite primes. Euclid proves this. It's considered the oldest proof ever recorded

 

[MAME]

Originally posted by: Syringer

Originally posted by: MacBaine

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say, and I must agree with that wholeheartedly.

And how does that work? You have to restrict the set you are choosing from somehow, as we have no idea how many primes there are... and the number of primes decreases dramatically as we keep counting.

I have doubts about this formula... could you tell us how you came about it? (That is, what was shown to you)

No idea how it works out, but you can search around for this..
http://mathworld.wolfram.com/RelativelyPrime.html

your link says:

6
_______

pi^2 * H

 

[xSauronx]

i suck at math in most any form...so im not sure what youre trying to say, but i am sure i dont give a fvck

 

[SagaLore]

mmmmmm I luv pie

 

[Description]

your link says:

6
_______

pi^2 * H

Owned.

 

[jman19]

Originally posted by: MAME

Originally posted by: Syringer

Originally posted by: MacBaine

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say, and I must agree with that wholeheartedly.

And how does that work? You have to restrict the set you are choosing from somehow, as we have no idea how many primes there are... and the number of primes decreases dramatically as we keep counting.

I have doubts about this formula... could you tell us how you came about it? (That is, what was shown to you)

No idea how it works out, but you can search around for this..
http://mathworld.wolfram.com/RelativelyPrime.html

your link says:

6
_______

pi^2 * H

I believe he was talking about integers, meaning his forumla is correct.

EDIT: or at least that he wrote down the write formula (regardless of whether it's correct or not. I tend to trust mathworld though).

 

[Aharami]

Originally posted by: Description
<--- not amazed

i need pics

 

[halik]

Originally posted by: Syringer
Some background: two integers are considered coprime if there exists no common factors between them except for 1 and -1.

With that out of the way then, say you have two integers picked completely at random. At RANDOM, as in, not the opposite of random.

Now, the probability then, that these two numbers are a coprime of one another is...of ALL things...

6/PI^2

Wow you say? I must agree with that wholeheartedly.

i wanna see you write out the proof for that...

 

[Syringer]

http://mathworld.wolfram.com/rimg1893.gif

 

[JeffreyLebowski]

The opposite of Optimus Prime is Megatron.

 

[imported_Strang]

Originally posted by: JeffreyLebowski
The opposite of Optimus Prime is Megatron.

But what's the opposite of Bumblebee?

 

[DannyBoy]

You never answered my PM Syringer :frown: :|

 

[DrPizza]

I'm not surprised by that though... it seems that e, ln, and pi come up often in unexpected places. My mind has been dulled to surprising results in math. It's incredible to see how inter-related seemingly unrelated concepts are.

Heck, who'd have even believed something as simple as Cos(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
if they hadn't learned how to prove that result in calculus. Or the lovely e^(pi*i) - 1 = 0, relating 5 of the most common numbers in mathematics.

However, I'm curious where that formula came from.

 

[Feldenak]

Originally posted by: xSauronx
i suck at math in most any form...so im not sure what youre trying to say, but i am sure i dont give a fvck

 

[Corporate Thug]

Originally posted by: Nocturnal
My cat's breath smells like cat food.

exactly

 

[StageLeft]

Some background: two integers are considered coprime

You lost me