# ITT we prove the Riemann hypothesis one word at a time

RavySnake

I'll start:

Let

TurtleCat

$\epsilon <0$

RumChicken

$: \epsilon = - 1/12$

eGremlin

nigger

RumChicken

@TurtleCat
Why would you make it <0 though. It's always >0.

CouchChiller

Assuming

ZeroReborn

the circumference of

eGremlin

Lebesguian

BinaryMan

@ZeroReborn

PurpleCharger

in each Kafkaesque category

BunnyJinx

of second-order

Spazyfool

let $\eta$ be a non-trivial zero, $\mathbb{C}$ doesn't exist because $\mathbb{R}$ doesn't exist and there are no number above $10^{300}$ therefore $\eta < 10^{300}$ and thus...

Lunatick

nigger tongue my anus

Harmless_Venom

@Spazyfool
Op is a faggot.

King_Martha

@BunnyJinx
on the induced topology of the n+1 dimensional semi-spheroids with the Manhattan metric

takes2long

@Spazyfool
Wilderberger detected

Bidwell

@RumChicken
That's the joke user.

Inmate

@Bidwell
I actually thought there was something interesting to discover here. Thanks for ruining it for me.

Firespawn

Quantum-deterministic

girlDog

classical

Need_TLC

contravariant

Harmless_Venom

statically indeterminant

5mileys

frobenioid

cum2soon

constant

variable

idontknow

.

hairygrape

If

Gigastrength

Could someone sum up, how would this function tell us about the number of primes in some region?
And the main question does calculating the number of primes using this function in some region is less demanding than classical (standard) methods?
Also, what are some areas, where knowing how many primes are in some region can be useful?

$\blacksquare$

Methnerd

When

LuckyDusty

[eqn]e^x=0[/eqn]

Stupidasole

ζ(z)

because God said so

Bidwell

checkmate athiests

Carnalpleasure

such that

Flameblow

there exist

LuckyDusty

@Gigastrength
I up this. Any kindanon explain this like you'd do it for a retard please.

StonedTime

for all x in A

FastChef

@RavySnake
mfw an infinite number of anons hitting keys at random on their mechanical keyboards will never ever type a proof confirming or refuting the Riemann hypothesis

CodeBuns

@TechHater
Top kek

@TechHater
Where did you find the math textbook font?

New_Cliche

@TechHater
Veeky Forums needs to publish an academic paper

Stupidasole

an covariant inversion on the n-manifold

Spazyfool

@eGremlin
@Lunatick
/pol/
You have to go back.

Nude_Bikergirl

@TechHater
nigger, why would you make it $<0$ though

Methshot

pg144 odds-only

Methnerd

PackManBrainlure

Absolute kek.

Evilember

Really makes you think.

Flameblow

@RavySnake
Primality

BlogWobbles

@PurpleCharger
Haha dude that shit is totally kafkaesque

ZeroReborn

@Gigastrength
Any math dudes out here?

Garbage Can Lid

It looks valid.

Harmless_Venom

hyphen between fag-got
fucking perfect

takes2long

@TechHater
tanquam ex ungue leonem

Flameblow

QED

ZeroReborn

@Flameblow

Crazy_Nice

Can't argue with that.

King_Martha

@Gigastrength
@ZeroReborn
Prime number theorem (pi(x) ~ (approaches) x/lnx, where pi(x) is the prime counting function, e.g. pi(2)=1, pi(10)=pi(9)=4) is equivalent to the statement $\zeta(a+ib) \neq 0 : a=0$, or that it has no zeros with real part s = 0. There is no elementary proof of prime number theorem, as of yet, so I'm not going to waste my time explaining exactly how this connection works and why, but basically, let $\displaystyle R(x)=1+\sum_{n=1}^\infty \frac {(\ln{x})^n} {nn!\zeta(n+1)}$ (that +1 comes in because 1 isn't prime, but some equations act like it is), $R(x)-\pi(x)=\sum\limits_{\rho} R(x^\rho)$ where $\rho$ is a nontrivial zero of zeta.

Note that none of this really can be applied to anything, despite what popsci articles tell you. We already know primes larger than computers even bother to use, and lookup tables for factorizations have already been made. Besides, all that the Riemann hypothesis does to solve this is allow approximations of pi(x). For example, if it's true, $\pi(x)=Li(x)+O(sqrt(x)\ln(x))$ where $Li(x)=\int_2^x\frac {dt} {\ln{t}}$ (which doesn't have a closed form expression).

Spamalot

@King_Martha
Oops, I mean a=1, not a=0 for that top statement. I'm pretty sure the a=0 case is trivial, but I forget now.

Harmless_Venom

ayo hol up