Proof of Golbach's conjecture and the twin prime conjecture

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SUMMARY

The discussion centers around a paper on arXiv claiming to prove Golbach's conjecture and the twin prime conjecture. Participants express skepticism regarding the validity of the proofs, citing multiple mistakes and a lack of rigorous demonstration. The author of the paper is criticized for presenting formulas that appear arbitrary and lacking substantial mathematical grounding. Overall, the consensus leans towards viewing the claims as unsubstantiated and not taken seriously within the mathematical community.

PREREQUISITES
  • Understanding of Golbach's conjecture and twin prime conjecture
  • Familiarity with complex numbers and trigonometric functions
  • Knowledge of mathematical proof techniques and rigor
  • Experience with academic research platforms like arXiv
NEXT STEPS
  • Research the validity of Golbach's conjecture and its historical context
  • Explore the twin prime conjecture and current research efforts
  • Study complex analysis, particularly the use of trigonometric functions in proofs
  • Investigate the peer review process on platforms like arXiv
USEFUL FOR

Mathematicians, researchers in number theory, and anyone interested in the validity of mathematical conjectures and proofs.

keebs
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I found this on arxiv...is this guy a loon or do the proofs seem reasonable?

Proofs
 
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Interesting paper!
I believe that the author gave more explanation on his formula to his P(N). Right now to me it seems to have been just plucked out of thin air.

Anyways, intelligent nitpicks should be left for the more qualified.

-- AI
 
This is not a proof, there are multiple mistakes and they have neglected to prove some areas which I believe to be untrue anyway. I need to head off to the shop, I might sit down later and try and demonstrate why this isn't true unless someone else has either done this or in fact shown me to be wrong.
 
I go with loon.

As far as I can tell, the only thing he's done is to observe that there are three distinct numbers of the form:

\cos 2\pi(\frac{j}{3} + (N - 3)) + i \sin 2\pi(\frac{j}{3} + (N-3))

and two distinct numbers of the form

\cos 2\pi(\frac{j}{2} + (N+1 - 3)) + i \sin 2\pi(\frac{j}{2} + (N+1-3))

when j and N are integers.
 
Glad to know, i am not the only one not thinking that the guy is a loon. I thought people took that paper seriously or something, since no one answered it for quite some time!

-- AI
 
This guy is awesome. I have a number of his papers on my computer. He's also "proven" twin primes, Riemann hypothesis, and of course Fermat's Last Theorem.

This is at least a year old, does arxiv ever take out the trash?
 
I know a very pretty girl who goes to a college near that university, I'll ask if she knows whether people take him seriously around there.
 
The "very pretty girl" contact...very good :smile:

If they do take him seriously, they must think he's a mathematical god. On arxiv, he's also "proven" the Euler-Masceroni constant is irrational.
 
The only point of that paper is to impress the math-illiterate with fancy-looking equations.
 
  • #10
it seems clear that if any of those things had been proven the news would have circumnavigated the globe by now. hence the arguments are pretty likely to be bogus. admitedly i have not read the paper, but i am not likely to either.

but if someone gets a date out of it, hey all is not lost. :-p
 

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