/sci/ - Science & Math

seems intuitive that they do... im not a mathfag though.

>>4318895

http://en.wikipedia.org/wiki/Prime-counting_function

Seems that way.

>>4318901
>seems intuitive that they do

>>4318908
>Seems that way.

...
YOU ABSOLUTE FUCKING MORONS! OF COURSE THEY ARE LESS COMMON IN HIGHER NUMBERS! IF YOU EVEN KNOW THE FUCKING DEFINITION OF A PRIME NUMBER THIS WOULD BE OBVIOUS TO YOU!
...RETARDS!

>>4318920
reported enjoy your ban

>>4318920
are you EK? if not, congrats. that's a perfect imitation.

>>4318929
<<<

>>4318939
erm, yeh i am.

>>4318942
reported. enjoy your ban

>>4318920
Intuition is immensely helpful in math, but it proves nothing. That was the entire point of the thread.

>>4318908
>link
>pi(x)
>not the number pi

Wat?

>>4318965
>Intuition is immensely helpful in math, but it proves nothing.
except this time it is fucking obvious,
as you are consecutively counting up the integers, for the next number to be prime it has to NOT be a multiple of any of the primes that have come before. As you keep going, you pass more primes, so there are more primes that you have passed than there were earlier.
Because there are more options of the next integer to be a multiple of an earlier prime, this makes it more unlikely, hence why primes becomes rarer as you go.
simply see the difference between primes counting upwards to see that this is the case.
1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2&#4
4;6
...notice how the differences get bigger as you go along.

>>4318987
nice proof retard. your mathematical knowledge is greatly appreciated
reported

>>4318992
shut the fuck up, cunt!
i already fucking said how obvious this is, the fact that some brain-dead asshole even had to make a thread asking this should be fucking embarassing!

>>4319009
prove it formally cunt or don't say shit

>Because there are more options of the next integer to be a multiple of an earlier prime, this makes it more unlikely, hence why primes becomes rarer as you go

he doesn't know 'bout infinite numbers

>>4318987
I think there's some sort of proof in there.

The reason we do proofs, is that though certain of being right, there exists still the potentiality of being in error, and though this probability is miniscule our inquiry is a thousandfold justified by the wisdom gained in that instance.

>>4319016
i dont have to 'prove it formally', its common sense! something you clearly lack!
GET THE FUCK OFF MY BOARD!

>>4319019
>he doesn't know 'bout infinite numbers
*she
and infinity is not a number, but even if it was, then there have been infinite primes before it, therefore no more primes exist after this point. (you have counted so high that they are infinitely rare)

>>4319021
prove it formally. this isn't zoology. only hard math and science on this board. reported.

>>4319033
and yet zoology is demonstrably more difficult than the concept of primes becoming rarer the higher you go, which this fucking /b/tard OP still seems to struggle with.
Morons like you shouldnt even be on my board.

Not a proof, but it gets the point across:
<div class="math">\pi(x) \approx li(x)
\frac{d}{dx}(li(x)) = \frac{1}{ln(x)}
\lim_{x \to +\infty} \frac{1}{ln(x)} = 0</div>
Thus, large primes are less frequent.

>>4319021
Wow, look it's EK! Long time, no see, bitch!

Not a proof, but it gets the point across:
<div class="math">\pi(x) \approx li(x)</div>
<div class="math">\frac{d}{dx}(li(x)) = \frac{1}{ln(x)}</div>
<div class="math">\lim_{x \to +\infty} \frac{1}{ln(x)} = 0</div>
Thus, large primes are rarer.

TAKE YOUR PILLS, EK!

>>4319105
shut the fuck up you stupid mongoloid fucking nigger, im not even using a trip, so you dont get to even say that.

>>4319021

Langtons ant is a function that begins looking like it's irrational then after a certain value, it repeats in a very ordered pattern. Just because it seems to obey a certain pattern near a point does not mean that the entire function obeys that same pattern as x->infinity.

>>4319108

why do you react you faggot. your name is gone.

it is like changing your name from jack to bob and getting mad when someone yells FUCK YOU JACK

take your pills indeed

>people give answer based on intuition
>Rose gets pissed at them for using intuition
>She uses intuition

TAEK YA PEELS!

>>4319118
yes, but gave answers such as 'maybe' 'probably' 'im not sure' 'its a difficult question'
when if fucking isnt!

>>4319126
>mfw you didn't deny being Rose
>mfw we've finally confirmed EK IS ROSE!

>>4319127
>mfw im not rose, and you're a fucking delusional 7/7/11-fag.
>mfw any anon can post pretending to be EK, it isnt hard
>mfw nobody gives a fuck anyway, even if i were, which im not

grow up

>2012
>still being obsessed over EK
For shit's sake. Grow up, kiddies.

>>4319130
>mfw you super defensive and buttmad
>mfw you're clearly Rose

there there dear

>>4319021

Oh lawdy, good thing you're not involved in university mathematics. You and that lousy thing you call your "common sense" would be crushed even by the most idiotic drooling undergrad.
Keep trolling 4chan, this is the right place for you. Our math departments should stay clean.

>>4319131
>Tells others to stop being obsessed over EK
>Has images saved specifically about EK

probably op.

but sage because that fat bastard guy ek

>>4319150
Just like a nanny has to have something for little kids, as a /sci/entist, I have to have something for you little kids.

Because that's the level of sophistication of people still obsessing over EK.

It's nappy time for little children. Go to sleep.

>>4319179
Get a load of this faggot.

A bit late and too lazy to read the thread, but the number of primes between 0 and n is equivalent to n/(ln n) (in the sense of equivalent sequences).