/sci/ - Science & Math

[eqn] \phi(n) = \int_0^{\infty}\frac{(\ln n)^x - \ln(n-1)^x}{x\zeta (x+1)\Gamma(x+1)} \mathbb{d}x[/eqn]
[eqn] \zeta(x) = \frac{1}{1^x}+\frac{1}{2^x} + \frac{1}{3^x} + \cdots [/eqn]
[eqn] \Gamma(x) = \int_0^\infty e^t t^{(x-1)} \mathbb{d}x[/eqn]
Iff [math] \phi(n) = 1 [/math] then [math] n [/math] is prime.

>>8831542
Someone just provided a proof on another website. Sorry, but the /thread/ is closed. They won it per the rules.

>>>/wsr/207655
Shamelessly advertising for homework help over in /wsr/.

>>8412890
I also have a good history, but I find little pleasure in seeking approval from other humans on an anonymous message board.

>because I think that whoever you are in the present is a separate entity from who you were in the past and who you are in the future, and while your present self whould take responsibility for your past's actions...

I'm a utilitarian. I agree with what you say here in that there is no "self" which is preserved over time, the brain and body still remains awfully similar over the course of time.
The goal is ultimately to maximize the utility or good. In this case, killing Hitler would be the most likely outcome to maximize utility for the rest of the world.