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| first member | Digits | When? | Discoverer |
|---|---|---|---|
| 1st kind ( Sophie Germain Primes ) | |||
| 2618163402417 • 21290000 - 1 | Brown, PrimeGrid, TwinGen, LLR | ||
| 18543637900515 • 2666667 - 1 | Bliedung, PrimeGrid, TwinGen, LLR | ||
| 22942396995 • 2265776 - 1 | Serge Batalov; NewPGen; LLR | ||
| 183027 • 2265440 - 1 | Tom Wu, sgsieve, LLR | ||
| 648621027630345 • 2253824 - 1 | Jarai, Farkas, Csajbok, Kasza, Jarai | ||
| 620366307356565 • 2253824 - 1 | Jarai, Farkas, Csajbok, Kasza, Jarai | ||
| 10957126745325 • 2222333 - 1 | Stephan Vink; Oliver Kruse; Michael Kwok; TwinGen; NewPGen; Twin Prime Search; LLR |
||
| 20690306380455 • 2222332 - 1 | Oliver Kruse; Stephan Vink; Michael Kwok; TwinGen; NewPGen; Twin Prime Search; LLR |
||
| 10030004436315 • 2222333 - 1 | Stephan Vink; Oliver Kruse; Stephan Vink; Michael Kwok; TwinGen; NewPGen; Twin Prime Search; LLR |
||
| 8964472847055 • 2222333 - 1 | Oliver Kruse; Stephan Vink; Michael Kwok; TwinGen; NewPGen; Twin Prime Search; LLR |
||
| 1068669447 • 2211088 - 1 | Kwok, PSieve, LLR | ||
| 99064503957 • 2200008 - 1 | Urushi, LLR | ||
| 12443794755 • 2184516 - 1 | Serge Batalov, NewPGen, LLR | ||
| 21749869755 • 2184515 - 1 | Serge Batalov, NewPGen, LLR | ||
| 14901867165 • 2184515 - 1 | Serge Batalov, NewPGen, LLR | ||
| 607095 • 2176311 - 1 | Tom Wu, LLR | ||
| 48047305725 • 2172403 - 1 | Underbakke, TwinGen, LLR | ||
| 137211941292195 • 2171960 - 1 | Jarai, Farkas, Csajbok, Kasza, Jarai | ||
| 4931286045 • 2152849 - 1 | Doornink, TwinGen, LLR | ||
| 4318624617 • 2152849 - 1 | Doornink, TwinGen, LLR | ||
| 17147299833 • 2143731 - 1 | Serge Batalov, NewPGen, LLR | ||
| 21195711 • 2143630 - 1 | Serge Batalov, NewPGen, LLR | ||
| 838269645 • 2143165 - 1 | Serge Batalov, NewPGen, LLR | ||
| 570409245 • 2143163 - 1 | Serge Batalov, NewPGen, LLR | ||
| 2830598517 • 2143112 - 1 | Serge Batalov, NewPGen, LLR | ||
| 4158932595 • 2143073 - 1 | Serge Batalov, NewPGen, LLR | ||
| 7068555 • 2121301 - 1 | Predrag Minovic, TwinGen, LLR | ||
| 2540041185 • 2114729 - 1 | Underbakke, TwinGen, LLR | ||
| 18912879 • 298395 - 1 | Angel, Augustin, Jobling, NewPGen ,OpenPFGW | ||
| 1213822389 • 281131 - 1 | Angel, Augustin, Jobling, NewPGen ,OpenPFGW, Proth | ||
| 109433307 • 266452 - 1 | Underbakke, NewPGen, Proth | ||
| 3714089895285 • 260000 - 1 | Indlekofer, Jarai, Wassing | ||
| 18131 • 22817# - 1 | Lifchitz | ||
| 18458709 • 232611 - 1 | Charles Kerchner, Proth | ||
| 14516877 • 224176 - 1 | Charles Kerchner, Proth | ||
| 72021 • 223630 - 1 | Gallot | ||
| 276311 • 219003 + 1 | Ballinger, Proth | ||
| 92305 • 216998 + 1 | Charles Kerchner, Proth | ||
| 8069496435 • 105072 - 1 | Dubner | ||
| 470943129 • 216352 - 1 | Jarai, Indlekofer | ||
| 5415312903 • 104526 - 1 | Dubner | ||
| 47013511545 • 102999 - 1 | Dubner | ||
| 713851138 • 101854 + 1 | Dubner | ||
| 39051 • 26001 - 1 | Keller | ||
| 2nd kind | |||
| 213778324725 • 2561417 + 1 | Ryan Propper, Serge Batalov | ||
| 89396295016384 + 1 | Roman Trunov & Brian D. Niegocki | ||
| 107928275961 • 2265875 + 1 | Serge Batalov; NewPGen; OpenPFGW | ||
| 3622179275715 • 2256002 + 1 | Szekeres, Magyar, Gevay, Farkas, Jarai | ||
| 2570606397 • 2252762 + 1 | Serge Batalov, NewPGen, OpenPFGW | ||
| 3526667708192 + 1 | Larrson, GeneFer, AthGFNSieve, PrivGfnServer, OpenPFGW | ||
| 1031571488192 + 1 | Jeppe Stig Nielsen, OpenPFGW | ||
| 556336461 • 2211355 + 1 | Serge Batalov, NewPGen, LLR | ||
| 7775705415 • 2175115 + 1 | Serge Batalov, NewPGen, OpenPFGW | ||
| 9985628193 • 2171008 + 1 | Nair, NewPGen, LLR | ||
| 129431439657 • 2170171 + 1 | Serge Batalov, NewPGen, LLR | ||
| 185688291 • 2161616 + 1 | Rajala, NewPGen, OpenPFGW | ||
| 1579755 • 2158712 + 1 | Serge Batalov, NewPGen, LLR | ||
| 648309 • 2148310 + 1 | Tom Wu, sgsieve, LLR | ||
| 552903 • 2136156 + 1 | Tom Wu, sgsieve, LLR | ||
| 163221 • 2124600 + 1 | Tom Wu, sgsieve, LLR | ||
| 532323 • 2104389 + 1 | Tom Wu, sgsieve, LLR | ||
| 581627055 • 293181 + 1 | Augustin, NewPGen, OpenPFGW | ||
| 3853775193 • 280000 + 1 | Nair, NewPGen, LLR | ||
| 1504084599 • 278341 + 1 | Sun, PRP, NewPGen, Proth | ||
| 863710323 • 252588 + 1 | Sun, PRP, NewPGen, Proth | ||
| 55003425 • 250000 + 1 | Chaffy, Proth | ||
| 164581485 • 249800 + 1 | Chaffy, Proth | ||
| 675558849 • 240217 + 1 | Augustin, Jobling, NewPGen, PRP | ||
| 16769025 • 234071 + 1 | Lifchitz, Gallot | ||
| 15015 • 223870 + 1 | Young , but recognized as CC2 many years later | ||
| 2926924 • 102032 + 1 | Dubner | ||