| first member | Digits | When? | Discoverer |
|---|---|---|---|
| 1st kind | |||
| 82466536397303904 ⋅ 1171# - 1 | Balyakin | ||
| 3931472185692005387730944 ⋅ 857# - 1 | Balyakin | ||
| 14317181455772 ⋅ 853# - 1 | Batalov, NewPGen, OpenPFGW | ||
| 162597166369 ⋅ 827# - 1 | Augustin, NewPGen, OpenPFGW | ||
| 1178137903623 ⋅ 661# - 1 | Augustin, NewPGen, OpenPFGW | ||
| 14180848107 ⋅ 487# - 1 | Augustin, NewPGen, OpenPFGW | ||
| 472063086 ⋅ 383# + 1236845609 | Alm, Andersen, Primo | ||
| 406605710992 ⋅ 349# - 1 | Augustin, NewPGen, OpenPFGW | ||
| 1953370903 ⋅ 151# - 1 | Augustin, NewPGen, OpenPFGW | ||
| 460668119835 ⋅ 2101 - 1 | Jobling | ||
| 27215953890276787 ⋅ 37# ⋅ 23 - 1 | Augustin, Jobling, Primeform | ||
| 27215953890276787 ⋅ 37# ⋅ 23 - 1 | Augustin, Jobling, Primeform | ||
| 2nd kind | |||
| 25802590081726373888 ⋅ 1033# + 1 | Balyakin | ||
| 4746015693360635904 ⋅ 761# + 1 | Balyakin | ||
| 535617118876 ⋅ 727# + 1 | Östlin, NewPGen, OpenPFGW | ||
| 668302064 ⋅ 593# + 786153598231 | Wolter, Andersen, Primo | ||
| 414792720846 ⋅ 557# + 1 | Augustin, NewPGen, OpenPFGW | ||
| 782350985 ⋅ 503# + 2189997811 | Andersen, Primo | ||
| 2310290388 ⋅ 283# + 1 | Augustin, NewPGen, OpenPFGW | ||
| 1701815519 ⋅ 277# + 1 | Augustin, NewPGen, OpenPFGW | ||
| 843616025 ⋅ 193# + 1 | Augustin, NewPGen, OpenPFGW | ||
| 666325605 ⋅ 260 + 1 | Augustin, Proth | ||