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Thabit Primes, 1st Kind
Term: 3 • 2n - 1 Total: 67 References: PrimePages and OEIS A002235 |
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| Rank | Number | Digits | When | Who | PrimePages - ID |
|---|---|---|---|---|---|
| 1 | 3 • 220928756 - 1 | 6300184 | Jul 2023 | Arno Lehmann; LLR2; srsieve; PrimeGrid; LLR | 136240 |
| 2 | 3 • 218924988 - 1 | 5696990 | Mar 2022 | Frank Matillek; LLR2; srsieve; PrimeGrid; LLR | 133776 |
| 3 | 3 • 218196595 - 1 | 5477722 | Jan 2022 | Anonymous; LLR2; srsieve; PrimeGrid; LLR | 133193 |
| 4 | 3 • 217748034 - 1 | 5342692 | Sep 2021 | Marc Wiseler; LLR2; srsieve; PrimeGrid; LLR | 132678 |
| 5 | 3 • 216819291 - 1 | 5063112 | Jan 2021 | Rudi Tapper; LLR2; srsieve; PrimeGrid; LLR | 131595 |
| 6 | 3 • 211895718 - 1 | 3580969 | Jun 2015 | Michael Schulz; srsieve; PrimeGrid; LLR | 120038 |
| 7 | 3 • 211731850 - 1 | 3531640 | Mar 2015 | Karsten Klopffleisch; srsieve; PrimeGrid; LLR | 119571 |
| 8 | 3 • 211484018 - 1 | 3457035 | Nov 2014 | Serhiy Gushchak; srsieve; PrimeGrid; LLR | 118807 |
| 9 | 3 • 26090515 - 1 | 1833429 | Apr 2010 | David Mumper; srsieve; PrimeGrid; LLR | 92517 |
| 10 | 3 • 24235414 - 1 | 1274988 | Apr 2008 | Dylan Bennett; srsieve; NewPGen; PrimeGrid; 321search; LLR | 84769 |
| 11 | 3 • 23136255 - 1 | 944108 | Mar 2007 | Paul Underwood; srsieve; NewPGen; 321search; LLR | 79671 |
| 12 | 3 • 22312734 - 1 | 696203 | Dec 2005 | Paul Underwood; NewPGen; 321search; LLR | 76506 |
| 13 | 3 • 21232255 - 1 | 370947 | Aug 2004 | Thomas Ritschel; NewPGen; 321search; LLR | 71457 |
| 14 | 3 • 21201046 - 1 | 361552 | Aug 2004 | Alexandre de Pereyra; 321search; LLR | 71384 |
| 15 | 3 • 2992700 - 1 | 298833 | May 2004 | Jason Kowzun; NewPGen; 321search; LLR | 70397 |
| 16 | 3 • 2727699 - 1 | 219060 | Jan 2004 | Luigi Morelli; NewPGen; 321search; LLR | 68510 |
| 17 | 3 • 2702038 - 1 | 211335 | Nov 2003 | Thomas Ritschel; NewPGen; 321search; LLR | 67178 |
| 18 | 3 • 2584995 - 1 | 176102 | Nov 2003 | Sergey Kochergin; NewPGen; 321search; LLR | 65955 |
| 19 | 3 • 2414840 - 1 | 124880 | May 2003 | Paul Jobling; NewPGen; 321search; OpenPFGW; LLR | 64755 |
| 20 | 3 • 2234760 - 1 | 70671 | Apr 2003 | Thomas Ritschel; NewPGen; 321search; PRP; Proth | 64332 |
| 21 | 3 • 2164987 - 1 | 49667 | Sep 1999 | Wilfrid Keller; Ingo Buechel; Proth | 1023 |
| 22 | 3 • 2155930 - 1 | 46941 | Jul 1999 | Wilfrid Keller; Ingo Buechel; Proth | 1204 |
| 23 | 3 • 2123630 - 1 | 37217 | Mar 1999 | Wilfrid Keller; Ingo Buechel; Proth | 2634 |
| 24 | 3 • 297063 - 1 | 29220 | Jan 1999 | Wilfrid Keller; Ingo Buechel; Proth | 5569 |
| 25 | 3 • 288171 - 1 | 26543 | Jan 1999 | Wilfrid Keller; Ingo Buechel; Proth | 6321 |
| 26 | 3 • 285687 - 1 | 25795 | Dec 1998 | Wilfrid Keller; Ingo Buechel; Proth | 6590 |
| 27 | 3 • 280330 - 1 | 24183 | Dec 1998 | Wilfrid Keller; Ingo Buechel; Proth | 7045 |
| 28 | 3 • 271783 - 1 | 21610 | Dec 1998 | Wilfrid Keller; Ingo Buechel; Proth | 8191 |
| 29 | 3 • 251387 - 1 | 15470 | May 1998 | Gordon Spence; GIMPS; Prime95 | 11819 |
| 30 | 3 • 241628 - 1 | 12532 | May 1998 | Gordon Spence; GIMPS; Prime95 | 15140 |
| 31 | 3 • 226459 - 1 | 7966 | 1989 | John Brown; Landon Curt Noll; Bodo Parady; Gene Smith; Joel Smith; Sergio Zarantonello | 19541 |
| 32 | 3 • 225690 - 1 | 7734 | Apr 1998 | Ray Ballinger; Proth | 19721 |
| 33 | 3 • 218819 - 1 | 5666 | Apr 1998 | Ray Ballinger; Proth | 23276 |
| 34 | 3 • 218123 - 1 | 5457 | Apr 1998 | Ray Ballinger; Proth | 23563 |
| 35 | 3 • 214898 - 1 | 4486 | Dec 1979 | Jurgen Buhl; Walter Borho | - |
| 36 | 3 • 212676 - 1 | 3817 | 1979 | Jurgen Buhl; Walter Borho | 27603 |
| 37 | 3 • 27559 - 1 | 2276 | 1980 | Jurgen Buhl; Walter Borho | 33046 |
| 38 | 3 • 25134 - 1 | 1546 | 1980 | Jurgen Buhl; Walter Borho | 38856 |
| 39 | 3 • 24204 - 1 | 1267 | 1980 | Jurgen Buhl; Walter Borho | 44643 |
| 40 | 3 • 23276 - 1 | 987 | - | - | - |
| 41 | 3 • 21274 - 1 | 384 | - | - | - |
| 42 | 3 • 2827 - 1 | 250 | - | - | - |
| 43 | 3 • 2470 - 1 | 142 | - | - | - |
| 44 | 3 • 2458 - 1 | 139 | - | - | - |
| 45 | 3 • 2391 - 1 | 119 | - | - | - |
| 46 | 3 • 2324 - 1 | 99 | - | - | - |
| 47 | 3 • 2306 - 1 | 93 | - | - | - |
| 48 | 3 • 2216 - 1 | 66 | - | - | - |
| 49 | 3 • 2206 - 1 | 63 | - | - | - |
| 50 | 3 • 2143 - 1 | 44 | - | - | - |
| 51 | 3 • 2103 - 1 | 32 | - | - | - |
| 52 | 3 • 294 - 1 | 29 | - | - | - |
| 53 | 3 • 276 - 1 | 24 | - | - | - |
| 54 | 3 • 264 - 1 | 20 | - | - | - |
| 55 | 3 • 255 - 1 | 18 | - | - | - |
| 56 | 3 • 243 - 1 | 14 | - | - | - |
| 57 | 3 • 238 - 1 | 12 | - | - | - |
| 58 | 3 • 234 - 1 | 11 | - | - | - |
| 59 | 3 • 218 - 1 | 6 | - | - | - |
| 60 | 3 • 211 - 1 | 4 | - | - | - |
| 61 | 3 • 27 - 1 | 3 | - | - | - |
| 62 | 3 • 26 - 1 | 3 | - | - | - |
| 63 | 3 • 24 - 1 | 2 | - | - | - |
| 64 | 3 • 23 - 1 | 2 | - | - | - |
| 65 | 3 • 22 - 1 | 2 | - | - | - |
| 66 | 3 • 21 - 1 | 1 | - | - | - |
| 67 | 3 • 20 - 1 | 1 | - | - | - |
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Thabit Primes, 2nd Kind
Term: 3 • 2n + 1 Total: 50 References: PrimePages and OEIS A002253 |
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| Rank | Number | Digits | When | Who | PrimePages - ID |
|---|---|---|---|---|---|
| 1 | 3 • 216408818 + 1 | 4939547 | Oct 2020 | Dr. James Scott Brown; LLR2; srsieve; PrimeGrid; LLR | 131362 |
| 2 | 3 • 210829346 + 1 | 3259959 | Jan 2014 | Sai Yik Tang; srsieve; PrimeGrid; LLR | 116922 |
| 3 | 3 • 27033641 + 1 | 2117338 | Feb 2011 | Michael Herder; srsieve; PrimeGrid; LLR | 98959 |
| 4 | 3 • 25082306 + 1 | 1529928 | Apr 2009 | Andy Brady; srsieve; PrimeGrid; LLR | 87449 |
| 5 | 3 • 22478785 + 1 | 746190 | Oct 2003 | John Cosgrave; NewPGen; PRP; Proth | 66628 |
| 6 | 3 • 22291610 + 1 | 689844 | Aug 2008 | Thomas Wolfram; srsieve; PrimeGrid; LLR | 85438 |
| 7 | 3 • 22145353 + 1 | 645817 | Feb 2003 | John Cosgrave; NewPGen; PRP; Proth | 64011 |
| 8 | 3 • 21832496 + 1 | 551637 | Jul 2007 | Joseph Bohanon; LLR; OpenPFGW | 81819 |
| 9 | 3 • 2916773 + 1 | 275977 | Jun 2001 | John Cosgrave; NewPGen; PRP; Proth | 22 |
| 10 | 3 • 2801978 + 1 | 241420 | Sep 2005 | Keith P. Adney; NewPGen; PRP; Proth | 75498 |
| 11 | 3 • 2709968 + 1 | 213723 | May 2005 | Keith P. Adney; NewPGen; PRP; Proth | 74546 |
| 12 | 3 • 2382449 + 1 | 115130 | Jul 1999 | John Cosgrave; Proth | 94 |
| 13 | 3 • 2362765 + 1 | 109204 | Jul 2002 | John Cosgrave; NewPGen; PRP; Proth | 101 |
| 14 | 3 • 2303093 + 1 | 91241 | Jan 1998 | Jeffrey Young | 223 |
| 15 | 3 • 2213321 + 1 | 64217 | May 1997 | Jeffrey Young | 401 |
| 16 | 3 • 2157169 + 1 | 47314 | Aug 1995 | Jeffrey Young | 1180 |
| 17 | 3 • 280190 + 1 | 24141 | Aug 1995 | Jeffrey Young | 7057 |
| 18 | 3 • 259973 + 1 | 18055 | Aug 1995 | Jeffrey Young | 10729 |
| 19 | 3 • 255182 + 1 | 16612 | Oct 1993 | Jeffrey Young | 11285 |
| 20 | 3 • 254792 + 1 | 16495 | - | - | - |
| 21 | 3 • 248150 + 1 | 14496 | Oct 1993 | Jeffrey Young | 13029 |
| 22 | 3 • 244685 + 1 | 13453 | 1993 | Jeffrey Young | 14049 |
| 23 | 3 • 242665 + 1 | 12844 | 1993 | Jeffrey Young | 14813 |
| 24 | 3 • 242294 + 1 | 12733 | Jul 1993 | Jeffrey Young | 14919 |
| 25 | 3 • 234350 + 1 | 10341 | Oct 1992 | Harvey Dubner; Dubner Cruncher | 17264 |
| 26 | 3 • 220909 + 1 | 6295 | 1985 | Wilfrid Keller | 22329 |
| 27 | 3 • 23912 + 1 | 1179 | 1979 | G. V. Cormack | 48357 |
| 28 | 3 • 23189 + 1 | 961 | - | - | - |
| 29 | 3 • 23168 + 1 | 955 | - | - | - |
| 30 | 3 • 22816 + 1 | 849 | - | - | - |
| 31 | 3 • 22208 + 1 | 666 | - | - | - |
| 32 | 3 • 2534 + 1 | 162 | - | - | - |
| 33 | 3 • 2438 + 1 | 133 | - | - | - |
| 34 | 3 • 2408 + 1 | 124 | - | - | - |
| 35 | 3 • 2353 + 1 | 107 | - | - | - |
| 36 | 3 • 2276 + 1 | 84 | - | - | - |
| 37 | 3 • 2209 + 1 | 64 | - | - | - |
| 38 | 3 • 2201 + 1 | 61 | - | - | - |
| 39 | 3 • 2189 + 1 | 58 | - | - | - |
| 40 | 3 • 266 + 1 | 21 | - | - | - |
| 41 | 3 • 241 + 1 | 13 | - | - | - |
| 42 | 3 • 236 + 1 | 12 | - | - | - |
| 43 | 3 • 230 + 1 | 10 | - | - | - |
| 44 | 3 • 218 + 1 | 6 | - | - | - |
| 45 | 3 • 212 + 1 | 5 | - | - | - |
| 46 | 3 • 28 + 1 | 3 | - | - | - |
| 47 | 3 • 26 + 1 | 3 | - | - | - |
| 48 | 3 • 25 + 1 | 2 | - | - | - |
| 49 | 3 • 22 + 1 | 2 | - | - | - |
| 50 | 3 • 21 + 1 | 1 | - | - | - |