| k | Digits | Early discovery with at least 10,000 digits to given pattern | Who | When | |
| 1 | 13395 | 244497 − 1 | Harry Lewis Nelson, David Slowinski | 8 Apr 1979 | |
| 2 | 11713 | 242206083 • 238880 ± 1 | Karl-Heinz Indlekofer, Antal Járai | Nov 1995 | |
| 3 | 10047 | 2072644824759 • 233333 − 1 + d | d = 0, 2, 6 | Norman Luhn, François Morain | 17 Nov 2008 |
| 3 | 16737 | 6521953289619 • 255555 − 5 + d | d = 0, 4, 6 | Peter Kaiser | 30 Apr 2013 |
| 4 | 10132 | 667674063382677 • 233608 − 1 + d | d = 0, 2, 6, 8 | Peter Kaiser | 27 Feb 2019 |
| k | Digits | Early discovery with at least 20,000 digits to given pattern | Who | When | |
| 1 | 25962 | 286243 − 1 | David Slowinski | 25 Sep 1982 | |
| 2 | 20008 | 1693965 • 266443 ± 1 | Giovanni La Barbera, Paul Jobling, Yves Gallot | 26 Sep 2000 | |
| 3 | 20008 | 4111286921397 • 266420 − 1 + d | d = 0, 2, 6 | Peter Kaiser | 24 Apr 2019 |
| 3 | 20183 | 4404139952163 • 267002 − 5 + d | d = 0, 4, 6 | Serge Batalov | 11 Jul 2024 |
| k | Digits | Early discovery with at least 30,000 digits | Who | When |
| 1 | 65050 | 2216091 − 1 | David Slowinski | 1 Sep 1985 |
| 2 | 32220 | 318032361 • 2107001 ± 1 | David Underbakke, Phil Carmody | 18 May 2001 |
| k | Digits | Early discovery with at least 40,000 / 50,000 digits | Who | When |
| 1 | 65050 | 2216091 − 1 | David Slowinski | 1 Sep 1985 |
| 2 | 51090 | 33218925 • 2169690 ± 1 | Daniel Papp | 28 Sep 2002 |
| k | Digits | Early discovery with at least 60,000 digits | Who | When |
| 1 | 65050 | 2216091 − 1 | David Slowinski | 1 Sep 1985 |
| 2 | 100355 | 65516468355 • 2333333 ± 1 | Peter Kaiser, PrimeGrid | 15 Aug 2009 |
| k | Digits | Early discovery with at least 70,000 ... 90,000 digits | Who | When |
| 1 | 227832 | 2756839 − 1 | David Slowinski, Paul Gage | 19 Feb 1992 |
| 2 | 100355 | 65516468355 • 2333333 ± 1 | Peter Kaiser, PrimeGrid | 15 Aug 2009 |