# Search results

• Users: keebs
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1. ### Puzzle: Name that Theorem

Andrew Wiles and Fermat...
2. ### Properties of Asymptotic functions

Ah, ok. Because if either one of those is true then it implies that pi(x+1)~x/lnx.
3. ### Properties of Asymptotic functions

What about with the prime counting function? Is pi(x+1)~x/lnx?
4. ### Properties of Asymptotic functions

Ahhh, ok. Thank you.
5. ### Pi(x) function in number theory solved

t may be small, but e1/t is large. What do you do in physics then? Where do you work?
6. ### Properties of Asymptotic functions

I have a few questions about asymptotic functions, and was wondering if anyone could help... If h(x)~g(x), is h(x+1)~g(x)? And, if h(x)~g(x), is h(x)h(x+1)~g(x)g(x+1)? Thanks in advance for any help...
7. ### Proof of Golbach's conjecture and the twin prime conjecture

I found this on arxiv...is this guy a loon or do the proofs seem reasonable? Proofs
8. ### Pi(x) function in number theory solved

And to calculate an integral of Pi(n) you will need many more terms than sum(1,n) if you're going to use integrals, because calculating integrals numerically requires splitting up the curve into little tiny rectangles, finding the area of all of the rectangles, and then summing up all of the...
9. ### Pi(x) function in number theory solved

But as t increases the volume increases, thus a computer will require more time to compute the integral.
10. ### Simple solution of FLT?

A simple solution for FLT would arise if you could prove the abc conjecture...
11. ### Deutsch's algorithm and p(n)

...that's the impression I've always gotten. The factorization part of Shor's algorithm can be done on a classic computer, but it's when you get to the order-finding problem that Shor's algorithm takes advantage of the quantum technology (I don't remember where I read this, but once I do I'll...
12. ### Pi(x) function in number theory solved

It doesn't always require the same number of operations because you are integrating up to variable t, which can vary (hence the term "variable"). In fact, because you will need to integrate numerically it may take even more operations to get a good approximation than a summation would.
13. ### Riemann Hypothesis and Primes

Basically Riemann gave a formula for the prime counting function that includes a sum over all zeros of the zeta function (well, not exactly, it's actually a sum of x to the power of all zeros of the zeta function), and if all of the zeros lie on the critical line than we can get a good estimate...
14. ### Asymptotic formula for Mertens function

Hmmm...interesting. I didn't know that, thanks. It makes sense because if it doesn't converge to 0 then "towards the end" (I guess you could say that) of the summation you'd just be adding values very close to a certain constant (or adding diverging terms) over and over and over again, but...
15. ### Asymptotic formula for Mertens function

Yeah, but when n approaches infinity Pn approaches the set of all natural numbers because Pn is the set of all numbers generated by all primes up to n, so when we include all of the primes it should generate all of the natural numbers. Why does the terms have to go to zero in order for the...
16. ### Asymptotic formula for Mertens function

I've been thinking about this for a while and I just wanted somebody to show me where my proof becomes faulty. This was my attempt to find an asymptotic formula for Mertens' function (the sum of the Mobius function). Oh, and if you aren't clear of my reasoning behind something, just ask...and in...
17. ### Perhaps quantum physics is elegant, but we lack an understanding?

You obviously don't understand path integrals: http://www.princeton.edu/~jhunt/qft_path.pdf [Broken]
18. ### A theory of everything that really works:

A theory of everything should have GR as an approximation for gravity...yours only makes use of Newton. And you also make statements that something can't be true because it goes against QM...but your theory should be consistent without QM because you should be able to derive the laws of QM from...