Prime Dodecuplets

 Last updated: 07 May 2023

First known with more than 100 digits
13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 27407861785763183 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, OpenPFGW, Primo)

613176722801194 • 151# + 177321217 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (75 digits, Sep 2014, Michael Stocker, Primo)

467756 • 151# + 193828829641176461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, May 2014, Roger Thompson)

9985637467 • 139# + 3629868888791261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, 01 Oct 2021, Roger Thompson)

9985397181 • 139# + 249386599747880711 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, 01 Oct 2021, Roger Thompson)

59125383480754 • 113# + 12455557957 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (61 digits, Sep 2013, Michael Stocker)

78989413043158 • 109# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (59 digits, Jan 2010, Norman Luhn)

450725899 • 113# + 1748520218561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (56 digits, Martin Raab, Nov 2014)

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

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

14815550 • 107# + 4385574275277311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, Feb 2013, Roger Thompson)

8486221 • 107# + 4549290807806861 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen)

10000000000000000000000000019294427203099948114321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 07 May 2023, Norman Luhn)

10000000000000000000000000015444433066649158677211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 30 Apr 2023, Norman Luhn)

10000000000000000000000000009389802763054136959411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 15 Apr 2023, Norman Luhn)

10000000000000000000000000006876397591080310208791 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 26 Mar 2023, Norman Luhn)

10000000000000000000000000006242835943691140298611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 25 Mar 2023, Norman Luhn)

10000000000000000000000000001946918538514862267461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 20 Mar 2023, Norman Luhn)

Smallest with 50 digits to given pattern
10000000000000000000000000000929532973818094710897 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (50 digits, 24 Feb 2021, Norman Luhn)
10000000000000000000000000000896396147387349765031 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 24 Feb 2021, Norman Luhn)

839858 • 107# + 2566964683459061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (49 digits, Aug 2009, Jens Kruse Andersen)

337712 • 107# + 3440354553191441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen)

122428 • 107# + 4540852852571921 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen)

88820 • 107# + 722837433023591 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (48 digits, Aug 2009, Jens Kruse Andersen)

381955327397348 • 79# + 18393209 + d, d = 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, 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)

100000000000000000000002167813969616899059241 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 01 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)

100000000000000000000001017982164646956123357 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (45 digits, 08 Feb 2022, Norman Luhn)

100000000000000000000000370753267420360939857 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (45 digits, 09 Feb 2022, Norman Luhn)

Smallest with 45 digits to given pattern
100000000000000000000000172106518341892028911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (45 digits, 01 Feb 2022, Norman Luhn)
100000000000000000000000041408120385362420817 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (45 digits, 01 Feb 2021, Norman Luhn)

434161298 • 89# + 612442658382671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen)

432589236 • 89# + 611531575179641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen)

332352838383 • 79# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (43 digits, 2003, Jens Kruse Andersen)

5027317106963 • 73# + 1418575498567 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (42 digits, 2001, Norman Luhn)

720345861287087 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn)

564115572162757 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn)

412477355651067 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn)

186519833921143 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn)

130171389197721 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn)

119488020007747 • 67# + 8393501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (39 digits, 2003, Norman Luhn)

244057739913 • 59# + 15840941 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (33 digits, 1999, Radek Naleczynski)

1373982090005 • 53# + 9825701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

1303738474751 • 53# + 9825701 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

1157827564340 • 53# + 61026851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

988779997913 • 53# + 36922001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

826679367331 • 53# + 61957781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

383109886120 • 53# + 36922001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen)

5953176232124 • 47# + 9564671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (31 digits, 2003, Jens Kruse Andersen)

495064300630708278713578451 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (27 digits, 1997, A.O.L. Atkin)

40293597000693392110871 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (23 digits, 1997, A.O.L. Atkin)

300006711401831244037 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (21 digits, 1995, Tony Forbes, M500 146)

20033602181940472241 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (20 digits, 1997, Tony Forbes)

11519177688150777761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (20 digits, 1997, Tony Forbes)

10665851757039303667 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (20 digits, 1997, Tony Forbes)

9143167039941069251 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1997, Tony Forbes)

8667102163572187451 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1997, Tony Forbes)

8111061048518633047 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1997, Tony Forbes)

6808488664768715767 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1996, Tony Forbes)

6414315899292926741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1996, Tony Forbes)

5218952903805135611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1996, Tony Forbes, M500 153)

3798946217482731157 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1996, Tony Forbes, M500 153)

2588014490692785997 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1995, Tony Forbes, M500 148)

2299090697389661017 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1995, Tony Forbes, M500 148)

2256238896234087881 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1995, Tony Forbes, M500 148)

1947178335742404881 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (19 digits, 1995, Tony Forbes, M500 148)

1483114507611411517 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (19 digits, 1995, Tony Forbes, M500 148)

2115067287743141 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1833994713165731 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1539765965257747 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1487854607298791 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1277156391416021 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1090754719898917 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

1041814617748747 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (16 digits, 1982, D. Betsis & S. Säfholm)

980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

727417501795057 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

604439135284057 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

First non-trivial known to given pattern
380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

346117552180627 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

345120905374087 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

282854319391717 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

234280497145537 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

218021188549237 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (15 digits, 1982, D. Betsis & S. Säfholm)

34460918582317 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (14 digits, 1982, D. Betsis & S. Säfholm)

27899359257997 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (14 digits, 1982, D. Betsis & S. Säfholm)

Smallest & first known to given pattern
1418575498567 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (13 digits, 1982, D. Betsis & S. Säfholm)