Twin 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

primenumbers@yahoogroups.com, Sebastian Martin Ruiz

<s_m_ruiz@...> wrote:

> 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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