Expand Messages
Message 1 of 37 , Jun 1, 2011
Walter Nissen wrote:
> Hi , Jens ,
>
>> the densest admissible 23-tuples have width 94 but
>> cannot be inside a century.
>
> I hope you won't mind if I point out that "century" has
> more than one common meaning .
> Comet Halley always returns within a century .
> During the century ended 1950 ...
>
> ( It's frustrating that some careless people think the
> 21st-Century began immediately after 1999 .
> )
>
> I wonder if you can point to a reliable source which
> claims that , as mathematical jargon , a century must
> end in a year divisible by 100 ?

I will therefore also reply to the list.

I guess you have not followed the list closely the last couple of weeks.
The context was clearly about a century ending in a year divisible by 100.
where woodhodgson wrote:
> Centuries refer to ranges [100X+1,100X+99]

It was woodhodgson who brought up centuries again in the current thread:
> The first 19-tuplet (I think), 630134041802574490482213901 + {0, 6, 10,
> 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76}, gives one
> a "century" with (at least) 19 primes. Still a long way off from the
> possible century maximum of 23 in computational terms, I imagine.

The other known 19-tuplets are not within such a century:

I agree that without context, a century might mean any interval of 100.

--
Jens Kruse Andersen
• ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen
Message 37 of 37 , Dec 31, 2012
Jaroslaw Wroblewski wrote:
> Here is 5th known large prime 19-tuplet:
>
> 2406179998282157386567481191 + d,
> d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
> (28 digits, Dec 2012, Raanan Chermoni & Jaroslaw Wroblewski)
>
> This sets new records for 18 and 19 Simultaneous Primes.

Congratulations!
http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated.

--
Jens Kruse Andersen
Your message has been successfully submitted and would be delivered to recipients shortly.