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k	Digits	Early discovery with at least 1,000 digits	Who	When
1	1332	24432 − 1	Alexander Hurwitz	3 Nov 1961
2	1040	256200945 • 23426 ± 1	Arthur Oliver Lonsdale Atkin & Neil W. Rickert	Dec 1980
3	1083	437850590 • (23567 − 21189) − 6 • 21189 − 5 + d, d = 0, 4, 6	Tony Forbes	04 Dec 1996
4	1004	76912895956636885 • (23279 − 21093) − 6 • 21093 − 7 + d, d = 0, 2, 6, 8	Tony Forbes	16 Sep 1998
5	1034	31969211688 • 2399# + 16061 + d, d = 0, 2, 6, 8, 12	Norman Luhn	30 Jul 2002
6	1037	28993093368077 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	14 Mar 2016
7	1002	113225039190926127209 • 2339# / 57057 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20	Peter Kaiser	27 Jan 2021

k	Digits	Early discovery with at least 2,000 digits	Who	When
1	2917	29689 − 1	Donald B. Gillies	11 May 1963
2	2003	260497545 • 26625 ± 1	Arthur Oliver Lonsdale Atkin	Dec 1984
3	2129	205702716 • 4973# / 35 − 1 + d, d = 0, 2, 6	Rosenthal, Jobling	17 Dec 2000
4	2058	4104082046 • 4799# + 5651 + d, d = 0, 2, 6, 8	Norman Luhn	29 Apr 2005
5	2002	126831252923413 • 4657# / 273 + 1 + d, d = 0, 2, 6, 8, 12	Peter Kaiser	8 Nov 2020

k	Digits	Early discovery with at least 3,000 digits	Who	When
1	3376	211213 − 1	Donald B. Gillies	2 Jun 1963
2	3389	1706595 • 211235 ± 1	John Brown, Landon Curt Noll, B. K. Parady, Gene Ward Smith, Joel F. Smith, Sergio E. Zarantonello	7 Jun 1989
3	3153	813529138 • 1939938500 − 1 + d, d = 0, 2, 6	Norman Luhn	13 Jul 2002
4	3024	43697976428649 • 29999 − 1 + d, d = 0, 2, 6, 8	Peter Kaiser	26 Mar 2012
5	3344	585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8, 12	Peter Kaiser	06 Mar 2022

k	Digits	Early discovery with at least 4,000 digits	Who	When
1	6002	219937 − 1	Bryant Tuckerman	4 Mar 1971
2	4030	1692923232 • 104020 ± 1	Harvey Dubner	Jul 1993
3	4019	(61504372896 • 5119 • 3163# • (5119 • 3163# + 1) + 210) • (5119 • 3163# − 1) / 35 + 5 + d, d = 0, 2, 6	David Broadhurst	10 Aug 2002
4	5003	4122429552750669 • 216567 − 1 + d, d = 0, 2, 6, 8	Peter Kaiser	10 Mar 2016

k	Digits	Early discovery with at least 5,000 digits	Who	When
1	6002	219937 − 1	Bryant Tuckerman	4 Mar 1971
2	5129	570918348 • 105120 ± 1	Harvey Dubner	Oct 1995
3	5132	(63140956174 • 205881 • 4001# • (205881 • 4001# + 1) + 210) • (205881 • 4001# − 1) / 35 + 1 + d, d = 0, 4, 6	Ken Davis	7 Oct 2005
4	5003	4122429552750669 • 216567 − 1 + d, d = 0, 2, 6, 8	Peter Kaiser	10 Mar 2016

k	Digits	Early discovery with at least 6,000 digits	Who	When
1	6002	219937 − 1	Bryant Tuckerman	4 Mar 1971
2	11713	242206083 • 238880 ± 1	H. K. Indlekofer & A. Járai	Nov 1995
3	6223	5612052289 • 14489# / 5 − 1 + d, d = 0, 2, 6	Norman Luhn	3 Jan 2008
4	10132	667674063382677 • 233608 − 1 + d, d = 0, 2, 6, 8	Peter Kaiser	27 Feb 2019

k	Digits	Early discovery with at least 7,000 ... 9,000 digits	Who	When
1	13395	244497 − 1	Harry Lewis Nelson & David Slowinski	8 Apr 1979
2	11713	242206083 • 238880 ± 1	H. K. Indlekofer & A. Járai	Nov 1995
3	10047	2072644824759 • 233333 − 1 + d, d = 0, 2, 6	Norman Luhn & François Morain	Nov 2008
4	10132	667674063382677 • 233608 − 1 + d, d = 0, 2, 6, 8	Peter Kaiser	27 Feb 2019