19869Re: primes in arithmetic sequences
- Feb 26, 2009Twin prime conjecture is precisely what I am trying to prove with this conjecture. We can prove by Dirichlet Theorem that exist the same t?We know by Dirichlet Theorem that exists infinity many t1 y t2 that p+t1(p-q) and q+t2(p-q) are both primes. But there are no two be equal?
--- El vie, 27/2/09, michael_b_porter <michael.porter@...> escribió:
De: michael_b_porter <michael.porter@...>
Asunto: Re: primes in arithmetic sequences
Para: "Sebastian Martin Ruiz" <s_m_ruiz@...>
Fecha: viernes, 27 febrero, 2009 6:02
--- In firstname.lastname@example.org, Sebastian Martin Ruiz
> It is to say exists a positive integer t that p+t(p-q) and q+t(p-q)are both primes?
Suppose that this conjecture is true. Let (s,s+2) be a pair of twin
primes. Then by the conjecture (with p=s+2, q=s), there is a positive
integer t such that s+2+2t and s+2t are both prime. So for each pair
of twin primes, there is a greater pair of twin primes.
So the twin prime conjecture follows from your conjecture.
- Michael Porter
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