## BiTwin

Expand Messages
• Yesterday I started a search aimed at 18 Simultaneous Primes (BiTwin). So far I failed to improve SP18 record, but I have determined that the number
Message 1 of 4 , Dec 3, 2008
• 0 Attachment
Yesterday I started a search aimed at 18 Simultaneous Primes (BiTwin).
So far I failed to improve SP18 record, but I have determined that the
number
112511682470782472978100 = 1.12512*10^23
is the only number N below 1.23056*10^23 which produces 18 primes by
the formula
N * 2^n +/- 1, n=0,...,8

Jarek
• ... Congratulations on another great result! The first BiTwin with 8 links as defined at http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm It also beats
Message 2 of 4 , Dec 3, 2008
• 0 Attachment
Jarek wrote:
> 112511682470782472978100 = 1.12512*10^23
> is the only number N below 1.23056*10^23 which produces 18 primes by
> the formula
> N * 2^n +/- 1, n=0,...,8

Congratulations on another great result!
The first BiTwin with 8 links as defined at
It also beats the largest known with 7 links by Hans Rosenthal and I.

--
Jens Kruse Andersen
• ... Thanks. Another LUCKY result, I would say :-) At the moment I have the following solution count: 5 links or longer: 1022 6 links or longer: 42 7 links or
Message 3 of 4 , Dec 3, 2008
• 0 Attachment
2008/12/4 Jens Kruse Andersen <jens.k.a@...>:
> Jarek wrote:
>> 112511682470782472978100 = 1.12512*10^23
>> is the only number N below 1.23056*10^23 which produces 18 primes by
>> the formula
>> N * 2^n +/- 1, n=0,...,8
>
> Congratulations on another great result!

Thanks.

Another LUCKY result, I would say :-) At the moment I have the
following solution count:

expected nuber of 7-linked solutions is 2 and the expected number of
8-linked solutions is around (or even slightly below) 0.1.

Jarek
• ... Fantastic find, so jealous. And which, in its elemental form k=N/4=28127920617695618244525 has 2^4+k and 2^6+k prime. Robert
Message 4 of 4 , Dec 3, 2008
• 0 Attachment
<jaroslaw.wroblewski@...> wrote:
>
> Yesterday I started a search aimed at 18 Simultaneous Primes (BiTwin).
> So far I failed to improve SP18 record, but I have determined that the
> number
> 112511682470782472978100 = 1.12512*10^23
> is the only number N below 1.23056*10^23 which produces 18 primes by
> the formula
> N * 2^n +/- 1, n=0,...,8
>
> Jarek
>

Fantastic find, so jealous.

And which, in its elemental form k=N/4=28127920617695618244525
has 2^4+k and 2^6+k prime.

Robert
Your message has been successfully submitted and would be delivered to recipients shortly.