| k | Primes | Type | Digits | Year | Discoverer |
| 7 | 113225039190926127209 · 2339# / 57057 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 | Tuplet |
1002 | 2021 | Peter Kaiser |
| 7 | x397 · 317# + 1068701 + 0, 2, 6, 8, 12, 18, 20 | Tuplet |
527 | 2019 | Vidar Nakling, rieMiner |
| 7 | 115828580393941 · 1200# + 5132201 + 0,2,6,8,12,18,20 | Tuplet |
515
| 2018 | Norman Luhn, Primo
|
| 7 | 82466536397303904 ·1171# · 2n - 1, n=0..6 | CC,
1st kind |
509 | 2015 |
Andrey Balyakin |
| 7 | 25802590081726373888 ·1033# · 2n + 1, n=0..6 | CC,
2nd kind |
454 | 2015 |
Andrey Balyakin |
| 7 | 3931472185692005387730944 · 857# · 2n - 1, n=0..6 | CC, 1st kind |
382 | 2015 |
Andrey Balyakin |
| 7 | 14317181455772 · 853# · 2n - 1, n=0..6 | CC, 1st kind |
368 | 2014 |
Serge Batalov, NewPGen, PrimeForm |
| 7 | 162597166369 · 827# · 2n - 1, n=0..6 | CC, 1st kind |
357 | 2010 |
Dirk Augustin, NewPGen, PrimeForm |
| 7 | 68841237 · 701# + 2525568581 + 0,2,6,8,12,18,20 | Tuplet |
301 | 2009 |
Jens K. Andersen |
| 7 | 1178137903623 · 661# · 2n - 1, n=0..6 | CC, 1st kind |
292 | 2008 |
Dirk Augustin, NewPGen, PrimeForm |
| 7 | 251733155478 · 650# + 1146779 + 0,2,8,12,14,18,20 | Tuplet |
282 | 2006 | Norman Luhn |
| 7 | 194688251849 · 601# + x155 + 210n, n=0..6 | CPAP |
259 | 2003 |
Jim Fougeron |
| 7 | 7127829789350 · 460# + x177 + 210n, n=0..6 | CPAP |
201 | 2003 |
Torbjörn Alm & Jens K. Andersen |
| 7 | 94552004441 · 410# + 165701 + 0,2,6,8,12,18,20 | Tuplet |
178 | 2003 |
Jens K. Andersen |
| 7 | 497423806097 · 400# + 380284918609481+ 0,2,6,8,12,18,20 | Tuplet |
173 | 2001 |
Norman Luhn |