Additions in 2008

December 2008

Prime 18-tuplet

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

(NEW RECORD!)
4530085223434265844952597 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)

Prime 17-tuplet

(NEW RECORD!)
13272688259204223913800677 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)

12619228903670164829370257 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)
10534990118815493999731057 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)

(NEW RECORD!)
5797342442373866594673457 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)

5767762827981847923136843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)

(NEW RECORD!)
4413937932023165100037481 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)

Prime 16-tuplet

(NEW RECORD!)
20338708738516444189126217 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, 31 Dec 2008, Jaroslaw Wroblewski)

(NEW RECORD!)
16762005170128542220583623 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)

15484349702608183190586797 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)
14572067509290472479435073 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)
13869497324977990741392283 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)
13541936591904559717085143 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (26 digits, 30 Dec 2008, Jaroslaw Wroblewski)
8123287824666722554529687 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, 18 Dec 2008, Jaroslaw Wroblewski)
9810028287321148107308023 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
9035534891670879193999333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
5864040093548465525463703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
5767762827981847923136843 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
4832244481144873961495263 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
4460854210129372667384777 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, 14 Dec 2008, Jaroslaw Wroblewski)
9650336819926778895196213 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)
9276275190948013462871593 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)
6097058661054854619479357 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)
5123424425629589842009183 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)
3327635699594161227885617 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, 9 Dec 2008, Jaroslaw Wroblewski)
5829755258165124648238813 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 6 Dec 2008, Jaroslaw Wroblewski)
9569595773264659850905123 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 6 Dec 2008, Jaroslaw Wroblewski)
5315687855627482486019803 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 05 Dec 2008, Jaroslaw Wroblewski)

Prime 15-tuplet

15842138448831437822167281181 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (29 digits, 30 Dec 2008, Audrey (Tony Forbes))
7183156739598876255584337961 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, 14 Dec 2008, from Oct 2008, Audrey (Tony Forbes))

November 2008

Prime Triplet

( FIRST KNOWN GIGANTIC PRIME TRIPLET !!! )
The certificate is available here: http://www.lix.polytechnique.fr/Labo/Francois.Morain/Primes/Certif/luhn.certif.gz.
FASTECPP: Total time: phase 1 = 86 days, phase 2 = 32 days on a cluster of AMD Athlon 64 3400+ processors.

(NEW RECORD!)
2072644824759 * 233333 + d, d = -1, 1, 5 (10047 digits, Nov 2008, Norman Luhn, Francois Morain, FastECPP)

October 2008

Prime 15-tuplet

7957624162163313093770931553 + d, d = 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 76 (28 digits, 21 Oct 2008, Felicity (Tony Forbes))
2131727624873404289606908021 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, 19 Oct 2008, Felicity (Tony Forbes))
23748164812313411457787806943 + d, d = 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (29 digits, 14 Oct 2008, Audrey (Tony Forbes))
8272730024233366918494210931 + d, d = 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72 (28 digits, 11 Oct 2008, Audrey (Tony Forbes))
16914974218143487485332450057 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (29 digits, 9 Oct 2008, Audrey (Tony Forbes))

Prime Triplet

( GIGANTIC PROBABLE-PRIME TRIPLET ! )
The third number is currently in the process of getting a primality certificate,
a procedure that is likely to take several months. When the certificate arrives
the triplet take its righTony Forbesul place at the top of the Prime Triplets table.

2072644824759 * 233333 + d, d = -1, 1, 5 (10047 digits, 13 Oct 2008, Norman Luhn)

June 2008

Twin Prime

(Thanks to Norman Luhn for communicating this to me)
108615 * 2110342 ± 1 (33222 digits, 13 Jun 2008, Chris ChaTony Forbesield)

April 2008

Prime 15-tuplet

(NEW RECORD!)
107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (33 digits, 14 Apr 2008, Jens Kruse Andersen)

Prime 14-tuplet

108804167016152508211944400342691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
101885197790002105359911556070661 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
101803109763079694387921584406441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
101047123513223569167212934432341 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
100859765410802682029505696121301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)
100496797396678760339871075201851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, 14 Apr 2008, Jens Kruse Andersen)

March 2008

Prime 8-tuplet

(NEW RECORD!)
330846961 * 503# + 349129635971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (218 digits, 1 Mar 2008, Jens Kruse Andersen)

Prime 7-tuplet

581889703 * 503# + 138264351341 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
456986419 * 503# + 161951504831 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
428040647 * 503# + 29941937141 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
330846961 * 503# + 349129635971 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
315131450 * 503# + 108685942481 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
230249877 * 503# + 302416919921 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)
221801776 * 503# + 33874245521 + d, d = 0, 2, 6, 8, 12, 18, 20 (218 digits, 1 Mar 2008, Jens Kruse Andersen)

January 2008

Prime Triplet

(NEW RECORD!)
5612052289 * 14500# / 5 + d, d = -1, 1, 5 (6223 digits, 3 Jan 2008, Norman Luhn, Primo)