A comment from Gergely Harcos

July 12th, 2013 | Posted by admin in Opinion - (0 Comments)

On July the 10 th I have posted on Terry Tao 's webpage page my result on the three primes theorem. A few hours later Gergely Harcos from the Alfred Renyi institute pointed out that my result already existed. It was proved by Paul Erdos and Paul Turan in 1948. Here is the link of this remarkable paper, particularly inequalities (7).

http://www.ams.org/journals/bull/1948-54-04/S0002-9904-1948-09010-3/S0002-9904-1948-09010-3.pdf

When I published this theorem as mine in my website I was not aware that these great mathematicians had preceded me. But you may judge my good faith based on the fact that my proof is far simpler and is based on an entirely different construction.

 

As always I 'm not trying to compare myself with these great mathematicians by saying that my proof is simpler and based on an entirely different construction.

 

Thanks once again to Gergely Harcos.

 

My first post

July 11th, 2013 | Posted by admin in Opinion - (0 Comments)

My first post will be to explain why I have taken the work and time necessaries for this job.

I think that I can give my visitors a pure and sincere opinion of what I think and do about mathematics and I think I can help the very valuable students to gain faith and experience in their own researches and studies.

First of all I would like to say that the Three Primes Theorem that I have proved in the autumn of 2013 (South Hemisphere) is by no means a great theorem of Mathematics. It is not the Green Tao Theorem, nor the Twin Primes Conjecture and much less the Riemann Hypothesis.

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To the class and level of these great mathematicians I have not the slightest pretension to belong to.

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Nevertheless the theorem shares with them the fact that it is a result of the elusive prime numbers. Then it is a small grain of sand added to the Theory of Primes and thus to the science of Math.

And the second thing that I would like to say is that I am aware of each of the steps that my mind had taken in the construction and proof of this theorem. And it is on these steps that I shall write my next post.

This is (I think) the best I can give to my students : to explain them in detail these steps so they can try themselves to construct their own work.

Having this said I propose to take some time to write how I was able to prove this theorem.