| k | Primes | Type | Digits | Year | Discoverer |
|---|---|---|---|---|---|
| 21 | 622803914376064301858782434517 + 0,4,6,10,12, 16,24,30,34,40,42,46,52,54,60,66,70,72,76,82,84 | Tuplet | 30 | 2018 | Raanan Chermoni & Jaroslaw Wroblewski |
| 21 | 248283957683772055928836513589 + 0,2,8,12,14, 18,24,30,32,38,42,44,50,54,60,68,72,74,78,80,84 | Tuplet | 30 | 2016 | Raanan Chermoni & Jaroslaw Wroblewski |
| 21 | 138433730977092118055599751669 + 0,2,8,12,14, 18,24,30,32,38,42,44,50,54,60,68,72,74,78,80,84 | Tuplet | 30 | 2015 | Raanan Chermoni & Jaroslaw Wroblewski |
| 21 | 39433867730216371575457664399 + 0,2,8,12,14, 18,24,30,32,38,42,44,50,54,60,68,72,74,78,80,84 | Tuplet | 29 | 2015 | Raanan Chermoni & Jaroslaw Wroblewski |
| 21 | 5547796991585989797641 + 29# · n, n=0..20 | AP | 22 | 2014 | Jaroslaw Wroblewski |
| 21 | 28112131522731197609 + 19# · n, n=0..20 | AP | 20 | 2008 | Jaroslaw Wroblewski |