Hi dear mathematicians. I want to know your opinion about my short disproof of the "Twin Primes Conjecture". Do you have any remarks about the approach of the article?
it can never be a perfect square because A×(2q+x) can never be a square of (p-Y) where p is any strictly positive natural number and Y is any real number.
Peter Breuer You said : [The property defining a discriminant is that the polynomial has a double root iff the discriminant is zero.]
This means that the "FOO thing" can only be a product of the form (p-J)×(p-K) where J and K are definitely different real numbers. And thus, this product can never be equal to a perfect square since (p-J) and (p-K) are always different.
I hope you got my point. Do you want me to add more explanations in the article ?
I recently was contacted by a researcher and he says that in any way the proof of old mathematical obscures isn't so simple, so in any ways, this is a good step forward, Akram Louiz.
I personally do accept, since its simplical statement of the conjecture, it's still worth to be noted and published in some of mathematical journals like Journal of Progressive Mathematics - they don't do the politics around the scientific corner, any result is worth and specially "up to date".
No, the disproof is absolutely correct, there's some nuance in the infinite limit: since there infinite number of primes, thus according to sieve and gap there will be no gap in infinity as the sieve expands faster than any twin prime pair.
Thus, I accept, that Akram Louiz's disproof is correct, it's just not elaborated for the infinite sums and this is only missing fact in the presented work.
Peter Breuer You do know that the content is more important than the form. You know also that my work is still a preprint. Tell me honestly, how do you find my disproof ?