## Re: Prime 19-tuplet

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• ... That s why I quoted 23, ignoring the special first century. There is no reason to rule out the existence of some 23-tuple inside a century somewhere.
Message 1 of 37 , Jun 1, 2011
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>
> On Tue, May 31, 2011 at 3:48 PM, Maximilian Hasler
> <maximilian.hasler@...> wrote:
> >
> >
> >
> > On Tue, May 31, 2011 at 2:57 PM, woodhodgson@...
> > <rupert.weather@...> wrote:
> > >
> > > 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.
> > >
> >
> > In the 1st century, you have 25 primes :
> >
> > 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61,
> > 67, 71, 73, 79, 83, 89, 97.
> >
> > For further information, see http://oeis.org/A186311
> >
> > Maximilian
> >
>
> The first 25 primes do not make an admissible constellation. It is
> impossible to find that pattern repeated anywhere else.
>
> Tom
>

That's why I quoted 23, ignoring the "special" first century. There is no reason to rule out the existence of some 23-tuple "inside" a century somewhere.
• ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen
Message 37 of 37 , Dec 31, 2012
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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
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