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• ... Congratulations! It always amazes me to see primes at those densities at such large numbers. I wonder if future quantum computers (if such really are
Dec 16 6:49 AM 1 of 14
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--- In primenumbers@yahoogroups.com, "jarek372000" <jaroslaw.wroblewski@...> wrote:
>
> I have just found 3rd known (the largest known) prime 18-tuplet:
>
> Prime 18-tuplet
> 4530085223434265844952597 + d,
> d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
> (25 digits, Dec 14, 2008, Jaroslaw Wroblewski)
>

Congratulations! It always amazes me to see primes at those densities at such 'large'
numbers. I wonder if future quantum computers (if such really are possible) would be able to
find the yet unfound, probably monstrously sized 24 tuplets that Jens alluded to.

Mark
• I just got another 18-tuplet: Prime 18-tuplet 11298510058634407483251313 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26
Dec 17 9:06 PM 1 of 14
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I just got another 18-tuplet:

Prime 18-tuplet
11298510058634407483251313 + d,
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
(26 digits, Dec 18, 2008, Jaroslaw Wroblewski)

Jarek
• I just got another 18-tuplet: Prime 18-tuplet 23531820918273007548405133 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26
Jan 15, 2009 1 of 14
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I just got another 18-tuplet:

Prime 18-tuplet
23531820918273007548405133 + d,
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
(26 digits, Jan 2009, Jaroslaw Wroblewski)

Jarek
• I just got another prime 18-tuplet: 33755528632220819791319947 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (26 digits, Jan
Jan 25, 2009 1 of 14
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I just got another prime 18-tuplet:

33755528632220819791319947 + d,
d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
(26 digits, Jan 26, 2009, Jaroslaw Wroblewski)

This is the largest known 18-tuplet and the largest known case of 18
Simultaneous Primes.

Jarek
• ... Congratulations! My ISP was bought and the buyer closed the old webhost last week. My former site at http://hjem.get2net.dk/jka has moved to
Jan 26, 2009 1 of 14
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Jarek wrote:
> 33755528632220819791319947 + d,
> d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
> (26 digits, Jan 26, 2009, Jaroslaw Wroblewski)
>
> This is the largest known 18-tuplet and the largest known case of 18
> Simultaneous Primes.

and then:
> Here is the new AP19 with the smallest known start.
>
> 275525353 + 407133393*19#*n, n=0,..,18
> (Mariusz Szafranski, BOINC@Poland, Jaroslaw Wroblewski)

Congratulations!

My ISP was bought and the buyer closed the old webhost last week.
My former site at http://hjem.get2net.dk/jka has moved to
http://users.cybercity.dk/~dsl522332
File names are unchanged so all url's must just replace the start.
My email is unchanged.
The Largest Known Simultaneous Primes are now at
http://users.cybercity.dk/~dsl522332/math/simultprime.htm
Primes in Arithmetic Progression Records are at
http://users.cybercity.dk/~dsl522332/math/aprecords.htm
The pages are updated.

--
Jens Kruse Andersen
• I just got another prime 18-tuplet: 44453357465442632103684223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Feb 20,
Feb 19, 2009 1 of 14
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I just got another prime 18-tuplet:

44453357465442632103684223 + d,
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
(26 digits, Feb 20, 2009, Jaroslaw Wroblewski)

This is the largest known 18-tuplet and the largest known case of 18
Simultaneous Primes.

Jarek
• ... Congratulations! An 18-tuplet is very impressive and this is your fifth. http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens
Feb 20, 2009 1 of 14
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Jarek wrote:
> 44453357465442632103684223 + d,
> d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
> (26 digits, Feb 20, 2009, Jaroslaw Wroblewski)
>
> This is the largest known 18-tuplet and the largest known case of 18
> Simultaneous Primes.

Congratulations!
An 18-tuplet is very impressive and this is your fifth.
http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated.

--
Jens Kruse Andersen
• I just got another prime 18-tuplet: 51342365971531191697537333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Mar 11,
Mar 11, 2009 1 of 14
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I just got another prime 18-tuplet:

51342365971531191697537333 + d,
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
(26 digits, Mar 11, 2009, Jaroslaw Wroblewski)

This is the largest known 18-tuplet and the largest known case of 18
Simultaneous Primes.

Jarek
• I have just discovered the first known 27-digit prime 18-tuplet: 159272023128204753638724847 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60,
Jan 15, 2010 1 of 14
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I have just discovered the first known 27-digit prime 18-tuplet:

159272023128204753638724847 + d,
d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
(27 digits, Jan 15, 2010, Jaroslaw Wroblewski)

This is the largest known 18-tuplet and the largest known case of 18
Simultaneous Primes.

Jarek
• ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated with your 7th 18-tuplet record. -- Jens Kruse Andersen
Jan 15, 2010 1 of 14
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Jaroslaw Wroblewski wrote:
> 159272023128204753638724847 + d,
> d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
> (27 digits, Jan 15, 2010, Jaroslaw Wroblewski)
>
> This is the largest known 18-tuplet and the largest known case of 18
> Simultaneous Primes.

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

--
Jens Kruse Andersen
• I have just discovered another 27-digit prime 18-tuplet: Prime 18-tuplet 183837276562811649018077773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48,
Apr 25, 2010 1 of 14
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I have just discovered another 27-digit prime 18-tuplet:

Prime 18-tuplet
183837276562811649018077773 + d,
d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
(27 digits, Apr 26, 2010, Jaroslaw Wroblewski)

This is the largest known 18-tuplet and the largest known case of 18
Simultaneous Primes.

Jarek
• ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen
Apr 26, 2010 1 of 14
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Jarek wrote:
> 183837276562811649018077773 + d,
> d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
> (27 digits, Apr 26, 2010, Jaroslaw Wroblewski)

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

--
Jens Kruse Andersen
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