Additions in 2007

December 2007

Prime 14-tuplet

(NEW RECORD!)
381955327397348 * 80# + 18393209 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, 28 Dec 2007, Norman Luhn)

Prime 13-tuplet

(NEW RECORD!)
381955327397348 * 80# + 18393209 + d, d = 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, 28 Dec 2007, Norman Luhn)

381955327397348 * 80# + 18393209 + d, d = 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (46 digits, 28 Dec 2007, Norman Luhn)

Prime 12-tuplet

381955327397348 * 80# + 18393209 + d, d = 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, 28 Dec 2007, Norman Luhn)

October 2007

Prime Quadruplet

(This is now the largest known prime quadruplet to contain both a Riesel and a Proth prime.)
2722420456827 * 23800 + d, d = -1, 1, 5, 7 (1157 digits, 30 Oct 2007, Gary Barnes)

(This is now the largest known prime quadruplet to contain both a Riesel and a Proth prime.)
477707955423 * 23802 + d, d = -1, 1, 5, 7 (1157 digits, 19 Oct 2007, Gary Barnes)

Twin Prime

(NEW RECORD!)
1046619117 * 2100000 ± 1 (30113 digits, 11 Oct 2007, Gary Barnes)

September 2007

New URL: http://anthony.d.forbes.googlepages.com/ktuplets.htm

Prime 9-tuplet

(NEW RECORD!)
3336884 * 331# + 80877403191701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)

Prime 8-tuplet

15040372 * 331# + 24632288535971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
14167183 * 331# + 35015517882461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
13603476 * 331# + 55083998744891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
12881645 * 331# + 18936030208211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
11016377 * 331# + 38766080888651 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
10658130 * 331# + 54668878048901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
10451363 * 331# + 19613368149491 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
9378352 * 331# + 2995583656181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
8889326 * 331# + 73892184681431 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
8028092 * 331# + 37461886457111 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
3704397 * 331# + 35072372810591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
3098613 * 331# + 46977904628771 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
2288764 * 331# + 32246355636611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)
2231415 * 331# + 61189154651741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, 17 Sep Sep 2007, Dirk Augustin & Jens Kruse Andersen)

Prime Triplet

Late arrivals: New record prime triplets added (Thanks to Jens Kruse Andersen for drawing my attention to this omission)
(NEW RECORD!)
(99241437759 * 205881 * 4001# * (205881 * 4001# + 1) + 210) * (205881 * 4001# - 1) / 35 + d, d = 1, 5, 7 (5132 digits, 19 Sep 2007, from Mar 2006, Ken Davis)
(91456744909 * 205881 * 4001# * (205881 * 4001# + 1) + 210) * (205881 * 4001# - 1) / 35 + d, d = 5, 7, 11 (5132 digits, 19 Sep 2007, from May 2006, Ken Davis)

June 2007

Twin Prime

194772106074315 * 2171960 ± 1 (51780 digits, 30 Jun 2007, Antal Járai, Gabor Farkas, Timea Csajbok & János Kasza)

January 2007

Twin Prime

(NEW RECORD!)
2003663613 * 2195000 ± 1 (58711 digits, 15 Jan 2007, Eric Vautier, Dmitri Gribenko, Patrick W. McKibbon, Michaek Kwok, Andrea Pacini, Rytis Slatkevicius)