[seqfan] Re: On infinitude of A090918-A090919

[Vladimir Shevelev]

Thank you, Max. Since I used the word "every", then in general conjection it should be added that a,b are not both odd.

Regards,
Vladimir


----- Original Message -----
From: Max Alekseyev <maxale at gmail.com>
Date: Friday, November 23, 2012 13:30
Subject: [seqfan] Re: On infinitude of A090918-A090919
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Cc: seqfan at seqfan.eu

> On Fri, Nov 23, 2012 at 1:51 PM, Vladimir Shevelev 
> <shevelev at bgu.ac.il> wrote:
> 
> > The question of the infinitude of these sequences is reduced 
> to unsolved
> > question, whether there are infinitly many primes in every 
> "progression"> of the form a*prime(n)+b, gcd(a,b)=1.
> 
> This question includes in particular (for a=2 and b=1) 
> infiniteness of
> Sophie Germain primes, which is an open question for a couple hundred
> years.
> 
> Regards,
> Max
> 
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 Shevelev Vladimir‎