k Digits Early discovery with at least 25 digits to given pattern Who When
1 39 2127 - 1 Édouard Lucas presented this prime number to the French Academy of Sciences on January 30, 1876.
2-6 - No reliable information
7 25 280 + 1101197061131755 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 25 280 + 2007708613387813 + d d = 0, 2, 8, 12, 14, 18, 20 Tony Forbes 1995
8 25 280 + 176476913921665 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Tony Forbes 1995
8 26 8 • 1025 + 19510172733 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Tony Forbes 1993
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 25 25 • 1023 + 58642126661880 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Tony Forbes 1994
9 25 280 + 1105309672463551 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Tony Forbes 1996
9 25 280 + 380212098689127 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Tony Forbes 1995
9 25 25 • 1023 + 554371309900065 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Tony Forbes 1995
10 30 12 • 1028 + 14884968491321 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Tony Forbes 1994
10 25 280 + 1051069612640371 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Tony Forbes 1995
11 30 28961984187 • 53# + 495611 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Warut Roonguthai 11 Oct 1997
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 27 49506430063070827871357845 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Arthur Oliver Lonsdale Atkin 10 Jun 1997
12 42 5027317106963 • 73# + 1418575498567 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Norman Luhn 05 Nov 2001
13 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
13 33 22516115 • 67# + 73934561215633 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Christ van Willegen,
Jens Kruse Andersen		 19 Jan 2005
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 35 10000000000000325778825790175217703 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 Norman Luhn 5 Feb 2021
13 27 460809082326760839587909009 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Tony Forbes 17 Feb 2000
13 46 381955327397348 • 79# + 18393211 + d d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 Norman Luhn 28 Dec 2007
14 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
14 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 Norman Luhn 28 Dec 2007
15 28 2131727624873404289606908037 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 Felicity, Tony Forbes 19 Oct 2008
15 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
15 29 16914974218143487485332450057 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 Audrey, Tony Forbes 9 Oct 2008
15 25 1000543338893999053267943 + d d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 Norman Luhn 26 Dec 2018
16 25 4410350515531687143590177 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 Jaroslaw Wroblewski 14 Dec 2008
16 25 4448854703435773339525753 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 Jaroslaw Wroblewski 14 Dec 2008
17 25 4413937932023165100037481 + d d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Jaroslaw Wroblewski 14 Dec 2008
17 26 12619228903670164829370257 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 Jaroslaw Wroblewski 14 Dec 2008
17 25 5767762827981847923136843 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 Jaroslaw Wroblewski 14 Dec 2008
17 25 5797342442373866594673457 + d d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 Jaroslaw Wroblewski 14 Dec 2008
18 25 1906230835046648293290043 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 Jörg Waldvogel, Peter Leikauf 31 Jan 2001
18 25 2845372542509911868266807 + d d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 Jörg Waldvogel, Peter Leikauf 13 Nov 2000
19 29 39433867730216371575457664407 + d d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76 Raanan Chermoni,
Jaroslaw Wroblewski		 8 Jan 2015
19 30 622803914376064301858782434517 + d d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76 Raanan Chermoni,
Jaroslaw Wroblewski		 27 Dec 2018
19 27 362446150252909869314435203 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76 John Armitage 24 Apr 2026
19 27 630134041802574490482213901 + d d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 Raanan Chermoni,
Jaroslaw Wroblewski		 9 Feb 2011
20 30 14374153072440029138813893241 + d d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 Raanan Chermoni,
Jaroslaw Wroblewski		 6 Oct 2014
20 28 394111982789525338530192002 + d d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 Raanan Chermoni,
Jaroslaw Wroblewski		 24 Jun 2014
21 30 622803914376064301858782434517 + d d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76, 82, 84 Raanan Chermoni,
Jaroslaw Wroblewski		 27 Dec 2018
21 29 39433867730216371575457664399 + d d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 Raanan Chermoni,
Jaroslaw Wroblewski		 8 Jan 2015

k Digits Early discovery with at least 30 digits to given pattern Who When
1 39 2127 - 1 Édouard Lucas presented this prime number to the French Academy of Sciences on January 30, 1876.
2-5 - No reliable information
6 30 1029 + 77882127 + d d = 0, 4, 6, 10, 12, 16 Tony Forbes 1993
7 34 26 • 1032 + 8528140685393 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 30 11 • 1028 + 68258240409 + d d = 0, 2, 8, 12, 14, 18, 20 Tony Forbes 1995
8 30 2 • 1029 + 101905927131 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Tony Forbes 1995
8 39 28 • 1037 + 115808692429393 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Tony Forbes 1995
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 30 12 • 1028 + 14884968491321 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Tony Forbes 1994
9 40 22 • 1038 + 632949030380167 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Tony Forbes 1996
9 34 16 • 1032 + 141561203196933 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Tony Forbes 1995
9 31 935 • 1028 + 64418863746089 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Tony Forbes 1995
10 30 12 • 1028 + 14884968491321 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Tony Forbes 1994
10 40 22 • 1038 + 2241278889512317 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Tony Forbes 1996
11 30 28961984187 • 53# + 495611 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Warut Roonguthai 11 Oct 1997
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 33 244057739913 • 59# + 15840941 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Radek Naleczynski 16 Jan 1999
12 42 5027317106963 • 73# + 1418575498567 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Norman Luhn 05 Nov 2001
13 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
13 33 22516115 • 67# + 73934561215633 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Christ van Willegen,
Jens Kruse Andersen		 19 Jan 2005
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 35 10000000000000325778825790175217703 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 Norman Luhn 5 Feb 2021
13 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 28 Dec 2007
13 46 381955327397348 • 79# + 18393211 + d d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 Norman Luhn 28 Dec 2007
14 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
14 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 Norman Luhn 28 Dec 2007
15 35 322255 • 73# + 1354238543317302647 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 Roger Thompson 18 Nov 2016
15 30 999999999962618227626700812281 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 Jörg Waldvogel, Peter Leikauf 23 Nov 2000
15 31 1003234871202624616703163933857 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 Roger Thompson Aug 2012
15 30 100000008317726120972779285703 + d d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 Norman Luhn 14 Apr 2021
16 35 322255 • 73# + 1354238543317302647 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 Roger Thompson 18 Nov 2016
16 31 1003234871202624616703163933853 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 Roger Thompson 9 Aug 2012
17 33 3684 • 73# + 880858118723497737821 + d d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 Roger Thomson 5 Feb 2021
17 30 100845391935878564991556707107 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 Roger Thomson 19 Feb 2013
17 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66
17 Not yet found ! d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66
18 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
18 Not yet found ! d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
19 30 138433730977092118055599751677 + d d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76 Raanan Chermoni,
Jaroslaw Wroblewski		 8 Oct 2015
19 30 622803914376064301858782434517 + d d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76 Raanan Chermoni,
Jaroslaw Wroblewski		 27 Dec 2018
19 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76
19 Not yet found ! d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
20 30 114601431611676407654036210321 + d d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 Raanan Chermoni,
Jaroslaw Wroblewski		 3 Sep 2015
20 30 111286948968140923889225384099 + d d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 Raanan Chermoni,
Jaroslaw Wroblewski		 12 Aug 2015
21 30 622803914376064301858782434517 + d d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76, 82, 84 Raanan Chermoni,
Jaroslaw Wroblewski		 27 Dec 2018
21 30 138433730977092118055599751669 + d d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 Raanan Chermoni,
Jaroslaw Wroblewski		 8 Oct 2015

k Digits Early discovery with at least 35 digits to given pattern Who When
1 39 2127 - 1 Édouard Lucas presented this prime number to the French Academy of Sciences on January 30, 1876.
2-5 - No reliable information
6 43 5 • 1042 + 1210414367 + d d = 0, 4, 6, 10, 12, 16 Tony Forbes 1993
7 37 22 • 1035 + 103596448506361 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 40 22 • 1038 + 152477811542569 + d d = 0, 2, 8, 12, 14, 18, 20 Tony Forbes 1995
8 38 6 • 1037 + 1178750105771 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Tony Forbes 1995
8 39 28 • 1037 + 115808692429393 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Tony Forbes 1995
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 37 22 • 1035 + 111245519078161 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Tony Forbes 1995
9 40 22 • 1038 + 632949030380167 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Tony Forbes 1996
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 40 22 • 1038 + 1997262086363319 d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Tony Forbes 1996
10 44 11456782178002488855779277536193082378054961 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Arthur Oliver Lonsdale Atkin 1996
10 40 22 • 1038 + 2241278889512317 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Tony Forbes 1996
11 44 3676296453875 • 79# + 10527733922591 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn 04 Sep 2001
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 39 119488020007747 • 67# + 8393501 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Norman Luhn 14 Apr 2003
12 42 5027317106963 • 73# + 1418575498567 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Norman Luhn 05 Nov 2001
13 48 61571 • 107# + 4803194122972361 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Jens Kruse Andersen 7 Aug 2009
13 38 1955206838 • 73# + 44208109063 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Martin Raab 3 Aug 2012
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 35 10000000000000325778825790175217703 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 Norman Luhn 5 Feb 2021
13 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 28 Dec 2007
13 46 381955327397348 • 79# + 18393211 + d d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 Norman Luhn 28 Dec 2007
14 50 14815550 • 107# + 4385574275277311 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Roger Thompson 5 Feb 2013
14 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 Norman Luhn 28 Dec 2007
15 35 322255 • 73# + 1354238543317302647 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 Roger Thompson 18 Nov 2016
15 Not yet found ! d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56
15 35 10004646546202610858599716515809907 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 Roger Thompson 4 Sep 2012
15 Not yet found ! d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56
16 35 322255 • 73# + 1354238543317302647 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 Roger Thompson 18 Nov 2016
16 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60

k Digits Early discovery with at least 40 digits to given pattern Who When
1 44 (2148 + 1) / 17 Aimé Ferrier 1951
2-5 - No reliable information
6 43 5 • 1042 + 1210414367 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes 1993
7 40 22 • 1038 + 6710701747314 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 40 22 • 1038 + 152477811542569 + d d = 0, 2, 8, 12, 14, 18, 20 Tony Forbes 1996
8 40 22 • 1038 + 328808203010821 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Tony Forbes 1996
8 40 22 • 1038 + 142485817135903 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Tony Forbes 1996
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 40 22 • 1038 + 632949030380167 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Tony Forbes 1996
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 40 22 • 1038 + 1997262086363319 d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Tony Forbes 1996
10 44 11456782178002488855779277536193082378054961 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Arthur Oliver Lonsdale Atkin 1996
10 40 22 • 1038 + 2241278889512317 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Tony Forbes 1996
11 44 3676296453875 • 79# + 10527733922591 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn 04 Sep 2001
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 43 332352838383 • 79# + 38458151 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Jens Kruse Andersen 30 Jul 2003
12 42 5027317106963 • 73# + 1418575498567 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Norman Luhn 05 Nov 2001
13 48 61571 • 107# + 4803194122972361 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Jens Kruse Andersen 7 Aug 2009
13 50 14815550 • 107# + 4385574275277313 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Roger Thompson 5 Feb 2013
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 45 1000000000000000002334523699629280598673 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 Norman Luhn 10 Mar 2021
13 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 28 Dec 2007
13 46 381955327397348 • 79# + 18393211 + d d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 Norman Luhn 28 Dec 2007
14 50 14815550 • 107# + 4385574275277311 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Roger Thompson 5 Feb 2013
14 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 Norman Luhn 28 Dec 2007
15 40 33554294028531569 • 61# + 57800747 + d d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 Norman Luhn 25 Jan 2017
15 Not yet found ! d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56
15 Not yet found ! d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56
15 Not yet found ! d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56

k Digits Early discovery with at least 45 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 54 15 • 1052 + 8496272339051 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 80 61502812817 • 173# + 5639 + d d = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 57 582994762600347672560616756460401857268344059297139419451 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Arthur Oliver Lonsdale Atkin 1996
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 50 74840399185 • 101# + 1277 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Warut Roonguthai 6 Oct 1997
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 55 82912513 • 113# + 271263511153489 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 22 Nov 2000
10 50 390868699256 • 101# + 258101 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Radek Naleczynski 16 Jan 1999
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 47 946772106455 • 89# + 872141 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Jens Kruse Andersen 12 Jul 2003
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 50 8486221 • 107# + 4549290807806861 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Dirk Augustin,
Jens Kruse Andersen		 3 Jun 2006
12 61 59125383480754 • 113# + 12455557957 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 9 Sep 2013
13 48 61571 • 107# + 4803194122972361 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Jens Kruse Andersen 7 Aug 2009
13 50 14815550 • 107# + 4385574275277313 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Roger Thompson 5 Feb 2013
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 45 100000000000000000000002004740564798426955633 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 Norman Luhn 06 Mar 2022
13 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 28 Dec 2007
13 46 381955327397348 • 79# + 18393211 + d d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 Norman Luhn 28 Dec 2007
14 50 14815550 • 107# + 4385574275277311 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Roger Thompson 5 Feb 2013
14 46 381955327397348 • 79# + 18393209 + d d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 Norman Luhn 28 Dec 2007

k Digits Early discovery with at least 50 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 54 15 • 1052 + 8496272339051 + d d = 0, 2, 6, 8, 12, 18, 20 Tony Forbes 1995
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 57 582994762600347672560616756460401857268344059297139419451 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Arthur Oliver Lonsdale Atkin 1996
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 51 9 • 1050 + 3219584035187 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Tony Forbes 1994
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 50 74840399185 • 101# + 1277 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Warut Roonguthai 6 Oct 1997
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 55 82912513 • 113# + 271263511153489 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 22 Nov 2000
10 50 390868699256 • 101# + 258101 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Radek Naleczynski 16 Jan 1999
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 52 11450665899501 • 101# + 39058751 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn 3 Aug 2003
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 50 8486221 • 107# + 4549290807806861 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Dirk Augustin,
Jens Kruse Andersen		 3 Jun 2006
12 61 59125383480754 • 113# + 12455557957 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 9 Sep 2013
13 50 14815550 • 107# + 4385574275277311 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Roger Thompson 5 Feb 2013
13 50 14815550 • 107# + 4385574275277313 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 Roger Thompson 5 Feb 2013
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
13 Not yet found ! d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
13 Not yet found ! d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
14 50 14815550 • 107# + 4385574275277311 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 Roger Thompson 5 Feb 2013
14 Not yet found ! d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50

k Digits Early discovery with at least 55 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 57 582994762600347672560616756460401857268344059297139419451 + d d = 0, 2, 6, 8, 12, 18, 20 Arthur Oliver Lonsdale Atkin 1996
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 57 582994762600347672560616756460401857268344059297139419451 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Arthur Oliver Lonsdale Atkin 1996
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 60 234259608 • 131# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Warut Roonguthai 22 Sep 1997
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 55 82912513 • 113# + 271263511153489 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 22 Nov 2000
10 58 172831780223 • 120# + 10527733922591 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 23 Aug 2001
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 63 92119245478633 • 130# + 21816911 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn 25 Dec 2003
11 56 27861533506418 • 107# + 7056974773 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 59 78989413043158 • 109# + 38458151 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Norman Luhn 18 Jan 2010
12 61 59125383480754 • 113# + 12455557957 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 9 Sep 2013
13 66 9985637467 • 139# + 3629868888791261 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Roger Thompson 01 Oct 2021
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
13 Not yet found ! d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
13 Not yet found ! d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48

k Digits Early discovery with at least 60 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 75 42695514369421319784846357472632863655300
2998029907759380111141003679237691 + d
d = 0, 2, 6, 8, 12, 18, 20		 Arthur Oliver Lonsdale Atkin 1997
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 60 234259608 • 131# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Warut Roonguthai 22 Sep 1997
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 61 504610004802 • 130# + 872141 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Jens Kruse Andersen 12 Jul 2003
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 70 34101658 • 157# + 164826429367331 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Hans Rosenthal,
Jens Kruse Andersen		 20 Feb 2004
11 62 500986597166605 • 113# + 12455557963 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 27 Jul 2013
12 66 467756 • 151# + 193828829641176461 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Roger Thompson 20 May 2014
12 61 59125383480754 • 113# + 12455557957 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 9 Sep 2013
13 66 9985637467 • 139# + 3629868888791261 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Roger Thompson 01 Oct 2021
13 61 4135997219394611 • 109# + 117092849 + d d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 Norman Luhn 23 Mar 2017
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
13 Not yet found ! d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
13 Not yet found ! d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48

k Digits Early discovery with at least 65 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 75 42695514369421319784846357472632863655300
2998029907759380111141003679237691 + d
d = 0, 2, 6, 8, 12, 18, 20		 Arthur Oliver Lonsdale Atkin 1997
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 70 34101658 • 157# + 164826429367331 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Hans Rosenthal, Jens Kruse Andersen 20 Feb 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 70 34101658 • 157# + 164826429367331 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Hans Rosenthal,
Jens Kruse Andersen		 20 Feb 2004
11 74 422969185886875 • 151# + 177321223 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 29 Aug 2014
12 66 467756 • 151# + 193828829641176461 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Roger Thompson 20 May 2014
12 75 613176722801194 • 151# + 177321217 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 30 Sep 2014
13 66 9985637467 • 139# + 3629868888791261 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 Roger Thompson 01 Oct 2021
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48
13 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48
13 Not yet found ! d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
13 Not yet found ! d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
13 Not yet found ! d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48

k Digits Early discovery with at least 70 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 75 426955143694213197848463574726328636553002998029907759380
111141003679237691 + d
d = 0, 2, 6, 8, 12, 18, 20		 Arthur Oliver Lonsdale Atkin 1997
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 70 34101658 • 157# + 164826429367331 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Hans Rosenthal,
Jens Kruse Andersen		 20 Feb 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 70 34101658 • 157# + 164826429367331 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Hans Rosenthal,
Jens Kruse Andersen		 20 Feb 2004
11 74 422969185886875 • 151# + 177321223 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 29 Aug 2014
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 75 613176722801194 • 151# + 177321217 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 30 Sep 2014

k Digits Early discovery with at least 75 digits to given pattern Who When
1 79 180 • (2127 − 1)2 + 1 Jeffrey Charles Percy Miller, David J. Wheeler 10 Nov 1951
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 75 426955143694213197848463574726328636553002998029907759380
111141003679237691 + d
d = 0, 2, 6, 8, 12, 18, 20		 Arthur Oliver Lonsdale Atkin 1997
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 103 72613488698235 • 227# + 39058751 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 11 Apr 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 104 24698258 • 239# + 28606476153371 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn,
Jens Kruse Andersen		 18 Aug 2004
11 75 613176722801194 • 151# + 177321223 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 Michael Stocker 30 Sep 2014
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 75 613176722801194 • 151# + 177321217 + d d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 Michael Stocker 30 Sep 2014

k Digits Early discovery with at least 80 digits to given pattern Who When
1 157 2521 − 1 Raphael Mitchel Robinson 30 Jan 1952
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 110 45741427235 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20 Norman Luhn 23 Feb 2001
7 80 61502812817 • 173# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Warut Roonguthai 6 Oct 1997
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 103 72613488698235 • 227# + 39058751 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 11 Apr 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 104 24698258 • 239# + 28606476153371 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn,
Jens Kruse Andersen		 18 Aug 2004
11 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 Not yet found ! d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42

k Digits Early discovery with at least 85 digits to given pattern Who When
1 157 2521 − 1 Raphael Mitchel Robinson 30 Jan 1952
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 110 45741427235 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20 Norman Luhn 23 Feb 2001
7 92 4300308165 • 199# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Radoslaw Naleczynski 9 Nov 1998
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 103 72613488698235 • 227# + 39058751 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 11 Apr 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 104 24698258 • 239# + 28606476153371 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn,
Jens Kruse Andersen		 18 Aug 2004
11 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 Not yet found ! d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42

k Digits Early discovery with at least 90 digits to given pattern Who When
1 157 2521 − 1 Raphael Mitchel Robinson 30 Jan 1952
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + dd = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 110 45741427235 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20 Norman Luhn 23 Feb 2001
7 92 4300308165 • 199# + 5639 + dd = 0, 2, 8, 12, 14, 18, 20 Radoslaw Naleczynski 9 Nov 1998
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 93 49507337255 • 199# + 1277 + dd = 0, 2, 6, 12, 14, 20, 24, 26 Michael Bell 17 Sep 2000
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 103 72613488698235 • 227# + 39058751 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 11 Apr 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 104 24698258 • 239# + 28606476153371 + dd = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn,
Jens Kruse Andersen		 18 Aug 2004
11 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 Not yet found ! d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42

k Digits Early discovery with at least 95 digits to given pattern Who When
1 157 2521 − 1 Raphael Mitchel Robinson 30 Jan 1952
2-5 - No reliable information
6 133 2 • 10132 + 75543532187 + d d = 0, 4, 6, 10, 12, 16 Tony Forbes Apr 1994
7 110 45741427235 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20 Norman Luhn 23 Feb 2001
7 95 24246571753 • 211# + 5639 + d d = 0, 2, 8, 12, 14, 18, 20 Radoslaw Naleczynski 31 Dec 1998
8 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26 Norman Luhn 23 Feb 2001
8 150 106584067562782 • 337# + 88793 + d d = 0, 6, 8, 14, 18, 20, 24, 26 Norman Luhn 13 Jan 2010
8 142 243551752728 • 317# + 1277 + d d = 0, 2, 6, 12, 14, 20, 24, 26 Graeme Leese, Michael Bell, Matt Jack, Michael Davison, Ben Lowing, Tim Nightingale 26 Jun 2001
9 110 388793398651 • 241# + 1042090781 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30 Norman Luhn 23 Feb 2001
9 135 394833958615791 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30 Norman Luhn 9 Feb 2017
9 135 106345403186416 • 293# + 29247913 + d d = 0, 4, 6, 10, 16, 18, 24, 28, 30 Norman Luhn 9 Feb 2017
9 150 68663510211259 • 337# + 88789 + d d = 0, 4, 10, 12, 18, 22, 24, 28, 30 Norman Luhn 13 Jan 2010
10 103 72613488698235 • 227# + 39058751 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 Norman Luhn 11 Apr 2004
10 136 772556746441918 • 293# + 29247917 + d d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 Norman Luhn 9 Feb 2017
11 104 24698258 • 239# + 28606476153371 + d d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 Norman Luhn,
Jens Kruse Andersen		 18 Aug 2004
11 Not yet found ! d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12 108 13243795731372733191902494675154142263612189966992593522251
560981597803197621024152571147501 + 27407861785763183 • 229# + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42		 Peter Kaiser, David Stevens 23 Sep 2019
12 Not yet found ! d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42