← Additions in 2022

December 2022

Prime 9-tuplet

Updates, found by Riecoin

Prime 8-tuplet

Updates, found by Riecoin

November 2022

Prime 9-tuplet

(Smallest with 105 digits to given pattern)
10¹⁰⁴ + 459025173250922377 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 (105 digits, 09 Nov 2022, Norman Luhn)
10¹⁰⁴ + 2377739461478508873 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 (105 digits, 09 Nov 2022, Norman Luhn)
10¹⁰⁴ + 10825433926838978859 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (105 digits, 07 Nov 2022, Norman Luhn)
10¹⁰⁴ + 7917858553309940671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (105 digits, 01 Nov 2022, Norman Luhn)

October 2022

Prime 12-tuplet

(Smallest with 55 digits to given pattern)
1000000000000000000000000000000002472745242956878304487 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (55 digits, 04 Oct 2022, Norman Luhn)

1000000000000000000000000000000002760339313453283246757 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (55 digits, 04 Oct 2022, Norman Luhn)

Prime 11-tuplet

(Smallest with 75 digits to given pattern)
100000000000000000000000000000000000000000000000000001376031966214004293173 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (75 digits, 26 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000320007787118176002631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (75 digits, 10 Oct 2022, Norman Luhn)

1000000000000000000000000000000002472745242956878304493 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 04 Oct 2022, Norman Luhn)
1000000000000000000000000000000002760339313453283246763 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 04 Oct 2022, Norman Luhn)
1000000000000000000000000000000002857889937994597387113 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 03 Oct 2022, Norman Luhn)
1000000000000000000000000000000002139878200797962910363 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 01 Oct 2022, Norman Luhn)

Prime 10-tuplet

100000000000000000000000000000000000000000000000000001366529964070354908577 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 28 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001269263784649174659097 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 27 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001376031966214004293177 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 26 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001655770562567074403587 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 26 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000671840867710169181007 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 25 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001018345250254542344887 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 21 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000989938846358084931907 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 20 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001137436733057530849927 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 19 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000001093159663125072553147 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 19 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000964584717149027074237 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 18 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000245660227728053172787 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 17 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000484219394352809173657 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 16 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000344311100322035991127 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (75 digits, 13 Oct 2022, Norman Luhn)

100000000000000000000000000000000000000000000000000000320007787118176002631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (75 digits, 10 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000420831842128095853471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (75 digits, 09 Oct 2022, Norman Luhn)
100000000000000000000000000000000000000000000000000000139193278323383188921 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (75 digits, 09 Oct 2022, Norman Luhn)

September 2022

Prime 12-tuplet

(Smallest with 55 digits to given pattern)
1000000000000000000000000000000002743862590724468830501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (55 digits, 23 Sep 2022, Norman Luhn)

1000000000000000000000000000000002955087732304487826931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (55 digits, 22 Sep 2022, Norman Luhn)

Prime 11-tuplet

1000000000000000000000000000000002144533253634436005573 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 30 Sep 2022, Norman Luhn)
1000000000000000000000000000000001365024773255451003543 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 28 Sep 2022, Norman Luhn)
1000000000000000000000000000000001639753807402851385323 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 28 Sep 2022, Norman Luhn)
1000000000000000000000000000000001356845324759944885713 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 28 Sep 2022, Norman Luhn)
1000000000000000000000000000000001148955807172809457053 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 27 Sep 2022, Norman Luhn)
1000000000000000000000000000000000040612622324887904523 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 25 Sep 2022, Norman Luhn)
1000000000000000000000000000000000956524248612464623323 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (55 digits, 23 Sep 2022, Norman Luhn)

1000000000000000000000000000000002743862590724468830501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 23 Sep 2022, Norman Luhn)
1000000000000000000000000000000002955087732304487826931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 22 Sep 2022, Norman Luhn)
1000000000000000000000000000000002857185639650999537611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 21 Sep 2022, Norman Luhn)
1000000000000000000000000000000002338462104116582650321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 20 Sep 2022, Norman Luhn)
1000000000000000000000000000000001820882663570427764191 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 18 Sep 2022, Norman Luhn)
1000000000000000000000000000000001264322069568793171051 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 16 Sep 2022, Norman Luhn)
1000000000000000000000000000000001296244148918920251781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 16 Sep 2022, Norman Luhn)
1000000000000000000000000000000001453620250323497772631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 16 Sep 2022, Norman Luhn)
1000000000000000000000000000000000548159813161533193351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 12 Sep 2022, Norman Luhn)
1000000000000000000000000000000000137181230017922210851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 11 Sep 2022, Norman Luhn)
1000000000000000000000000000000000219515467179667815271 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 11 Sep 2022, Norman Luhn)
1000000000000000000000000000000000076708489758930235321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (55 digits, 10 Sep 2022, Norman Luhn)

Prime 8-tuplet

(NEW RECORD!)
531258360785860208657753 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (333 digits, 30 Sep 2022, Peter Kaiser, Primo)

530956818040688210255681 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (333 digits, 30 Sep 2022, Peter Kaiser, Primo)
4869586684665128135306 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (331 digits, 30 Sep 2022, Peter Kaiser, Primo)
5586218959960365309179 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (331 digits, 12 Sep 2022, Peter Kaiser, Primo)

Prime 7-tuplet

531258360785860208657753 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 (333 digits, 30 Sep 2022, Peter Kaiser, Primo)
530956818040688210255681 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 (333 digits, 30 Sep 2022, Peter Kaiser, Primo)
4869586684665128135306 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 30 Sep 2022, Peter Kaiser, Primo)
5586218959960365309179 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 12 Sep 2022, Peter Kaiser, Primo)

Prime Triplet

(Smallest with 7000 digits to given pattern. Certificates was uploaded to factordb.com)
10⁶⁹⁹⁹ + 1868862621087 + d, d = 0, 4, 6 (7000 digits, 14 Sep 2022, Norman Luhn, NewPGen, OpenPFGW; Oliver Kruse, FastECPP)

August 2022

Prime 10-tuplet

14257429881902877844339877915045298096140599288873476083093543949692946630381247693511330479634493
• 367# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (246 digits, 18 Aug 2022, Riecoin #1775788)

Prime Triplet

(Smallest with 7000 digits to given pattern. Certificates was uploaded to factordb.com)
10⁶⁹⁹⁹ + 1141791245437 + d, d = 0, 2, 6 (7000 digits, 16 Aug 2022, Norman Luhn, NewPGen, OpenPFGW; Oliver Kruse, FastECPP)

July 2022

Prime Quintuplet

(Smallest with 1100 digits to given pattern)
10¹⁰⁹⁹ + 15720821612555937 + d, d = 0, 4, 6, 10, 12 (1100 digits, 25 Jul 2022, Norman Luhn, OpenPFGW, Primo)

June 2022

Prime Quintuplet

(Smallest with 1100 digits to given pattern)
10¹⁰⁹⁹ + 26317044823878361 + d, d = 0, 2, 6, 8, 12 (1100 digits, 27 Jun 2022, Norman Luhn, OpenPFGW, Primo)

Prime Twins

(Smallest with 20000 digits. Certificates was uploaded to factordb.com)
10¹⁹⁹⁹⁹ + 1514722610 ± 1 (20000 digits, 05 Jun 2021, Norman Luhn, OpenPFGW, NewPGen; 25 Jun 2022, Paul Underwood, FastECPP)

May 2022

Prime Quadruplet

(Smallest with 3000 digits. Certificate was uploaded to factordb.com)
10²⁹⁹⁹ + 339930644528851 + d, d = 0, 2, 6, 8 (3000 digits, 04 May 2022, Norman Luhn, NewPgen, OpenPFGW, Primo)

April 2022

Prime 8-tuplet

(NEW RECORD!)
697723422149271424870176724491962624555 • 701# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (332 digits, 28 Apr 2022, Michalis Christou, Rieminer 0.91)

Prime 7-tuplet

697723422149271424870176724491962624555 • 701# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, Rieminer 0.91)

Prime Triplet

(Number for d = 6 is proven prime. Certificate was uploaded to factordb.com)
56667641271 • 2⁴⁴⁴⁴¹ - 1 + d, d = 0, 2, 6 (13389 digits, 05 Mar 2022, Stephan Schöler, NewPGen, OpenPFGW; 01 Apr 2022 Oliver Kruse, Primo)

March 2022

Prime 13-tuplet

(Smallest with 45 digits to given pattern)
100000000000000000000001385313747234235067869 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (45 digits, 08 Mar 2022, Norman Luhn)
100000000000000000000002004740564798426955633 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 (45 digits, 06 Mar 2022, Norman Luhn)
100000000000000000000006149198224095343810309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (45 digits, 02 Mar 2022, Norman Luhn)

Prime Quintuplet

(NEW RECORD!)
(FIRST KNOWN WITH MORE THAN 3000 DIGITS !!!)
585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8, 12 (3344 digits, 06 Mar 2022, Peter Kaiser, OpenPFGW, Primo)

Prime Quadruplet

585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8 (3344 digits, 06 Mar 2022, Peter Kaiser, OpenPFGW, Primo)

Prime Triplet

(Smallest with 6000 digits and each pattern. Certificates was uploaded to factordb.com)
10⁵⁹⁹⁹ + 634115091747 + d, d = 0, 4, 6 (6000 digits, 31 Mar 2022, Norman Luhn, NewPGen, OpenPFGW; Oliver Kruse, Primo)
10⁵⁹⁹⁹ + 835812013681 + d, d = 0, 2, 6 (6000 digits, 25 Mar 2022, Norman Luhn, NewPGen, OpenPFGW; Oliver Kruse, Primo)

February 2022

Prime 13-tuplet

(Smallest with 45 digits to given pattern)
100000000000000000000000123638035929118697823 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (45 digits, 14 Feb 2022, Norman Luhn)
100000000000000000000000370753267420360939851 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 (45 digits, 09 Feb 2022, Norman Luhn)
100000000000000000000004356680452416578030761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (45 digits, 05 Feb 2022, Norman Luhn)

Prime 12-tuplet

100000000000000000000000370753267420360939857 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (45 digits, 09 Feb 2022, Norman Luhn)
100000000000000000000001017982164646956123357 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (45 digits, 08 Feb 2022, Norman Luhn)
100000000000000000000004356680452416578030761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 05 Feb 2022, Norman Luhn)
100000000000000000000002577990871732528327861 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 04 Feb 2022, Norman Luhn)
100000000000000000000001299845829236132793631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 02 Feb 2022, Norman Luhn)
100000000000000000000002167813969616899059241 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 01 Feb 2022, Norman Luhn)
100000000000000000000000172106518341892028911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 01 Feb 2022, Norman Luhn)

Prime 9-tuplet

(NEW RECORD!)
7620229574837377603687519001462575679324290703538353038451014140653366016375223441137843726785037341
• 503# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (309 digits, 16 Feb 2022, Bielawski Mathematicians)

Prime Twins

12599682117 • 2²¹¹⁰⁸⁸ ± 1 (63554 digits, 22 Feb 2022, Michael Kwok, PSieve, LLR)
12566577633 • 2²¹¹⁰⁸⁸ ± 1 (63554 digits, 22 Feb 2022, Michael Kwok, PSieve, LLR)

January 2022

Prime 11-tuplet

(Smallest with 70 digits and each pattern)
1000000000000000000000000000000000000000000000000164454587866429279653 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (70 digits, 28 Jan 2022, Norman Luhn)
1000000000000000000000000000000000000000000000000464743158493554630961 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (70 digits, 15 Jan 2022, Norman Luhn)

(Smallest with 65 digits and each pattern)
10000000000000000000000000000000000000000000113889255840810464103 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (65 digits, 05 Jan 2022, Norman Luhn)
10000000000000000000000000000000000000000000470283001366815441931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (65 digits, 03 Jan 2022, Norman Luhn)