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Difference between revisions of "Riesel prime 2 3"
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{{Riesel prime | {{Riesel prime | ||
|Rk=3 | |Rk=3 | ||
− | |RCount= | + | |Rb=2 |
+ | |RCount=67 | ||
|RNash=2976 | |RNash=2976 | ||
− | |RMaxn= | + | |RMaxn= |
− | |RDate= | + | |RDate= |
− | |RReserved= | + | |RReserved= |
+ | |RMultiRes=22 | ||
|RNlist= | |RNlist= | ||
1;T:ST | 1;T:ST | ||
− | 2;T:ST;C:{{NWo|+|2}} | + | 2;T:ST;C:{{NWo|+|2}}, {{NWi|MM|4|1}} |
− | 3;T: | + | 3;T:S;C:{{NWo|3}} |
− | 4;C:{{NWo|-|4}} | + | 4;C:{{NWo|-|4}}, {{NWi|MM|4|2}} |
− | 6;T:ST;C:{{NWo|+|5}} | + | 6;T:ST;C:{{NWo|4|3}}, {{NWo|+|5}}, {{NWi|MM|4|3}} |
− | 7 | + | 7;C:{{NWo|6}} |
11 | 11 | ||
− | 18;T:T | + | 18;T:T;C:{{NWo|64|3}}, {{NWi|MM|4|9}} |
− | 34 | + | 34;C:{{NWi|MM|4|17}} |
− | 38;C:{{NWo|8|12}} | + | 38;C:{{NWo|8|12}}, {{NWi|MM|4|19}} |
− | 43 | + | 43;C:{{NWo|128|6}} |
− | 55 | + | 55;C:{{NWo|512|6}} |
− | 64 | + | 64;C:{{NWi|MM|4|32}} |
− | 76 | + | 76;C:{{NWi|MM|4|38}} |
− | 94 | + | 94;C:{{NWi|MM|4|47}} |
− | 103 | + | 103;C:{{NWo|131072|6}} |
143 | 143 | ||
− | 206 | + | 206;C:{{NWo|131072|12}}, {{NWi|MM|4|103}} |
− | 216 | + | 216;C:{{NWi|MM|4|108}} |
− | 306 | + | 306;C:{{NWi|MM|4|153}} |
− | 324 | + | 324;C:{{NWi|MM|4|162}} |
− | 391 | + | 391;C:{{NWo|384}} |
− | 458 | + | 458;C:{{NWi|MM|4|229}} |
− | 470 | + | 470;C:{{NWi|MM|4|235}} |
827 | 827 | ||
− | 1274 | + | 1274;C:{{NWi|MM|4|637}} |
− | 3276 | + | 3276;C:{{NWi|MM|4|1638}} |
− | 4204;44643 | + | 4204;44643;C:{{NWi|MM|4|2102}} |
− | 5134;38856 | + | 5134;38856;C:{{NWi|MM|4|2567}} |
7559;33046 | 7559;33046 | ||
− | 12676;27603 | + | 12676;27603;C:{{NWi|MM|4|6338}} |
− | 14898 | + | 14898;C:{{NWi|MM|4|7449}} |
18123;23563 | 18123;23563 | ||
18819;23276 | 18819;23276 | ||
− | 25690;19721 | + | 25690;19721;C:{{NWi|MM|4|12845}} |
26459;19541 | 26459;19541 | ||
− | 41628;15140 | + | 41628;15140;C:{{NWi|MM|4|20814}} |
51387;11819 | 51387;11819 | ||
71783;8191 | 71783;8191 | ||
− | 80330;7045 | + | 80330;7045;C:{{NWi|MM|4|40165}} |
85687;6590 | 85687;6590 | ||
88171;6321 | 88171;6321 | ||
97063;5569 | 97063;5569 | ||
− | 123630;2634 | + | 123630;2634;C:{{NWi|MM|4|61815}} |
− | 155930;1204 | + | 155930;1204;C:{{NWi|MM|4|77965}} |
164987;1023 | 164987;1023 | ||
− | 234760;64332 | + | 234760;64332;C:{{NWi|MM|4|117380}} |
− | 414840;64755 | + | 414840;64755;C:{{NWi|MM|4|207420}} |
584995;65955 | 584995;65955 | ||
− | 702038;67178 | + | 702038;67178;C:{{NWi|MM|4|351019}} |
727699;68510 | 727699;68510 | ||
− | 992700;70397 | + | 992700;70397;C:{{NWi|MM|4|496350}} |
− | 1201046;71384 | + | 1201046;71384;C:{{NWi|MM|4|600523}} |
1232255;71457 | 1232255;71457 | ||
− | 2312734;76506 | + | 2312734;76506;C:{{NWi|MM|4|1156367}} |
3136255;79671 | 3136255;79671 | ||
− | 4235414;84769 | + | 4235414;84769;C:{{NWi|MM|4|2117707}} |
6090515;92517 | 6090515;92517 | ||
− | 11484018;118807 | + | 11484018;118807;C:{{NWi|MM|4|5742009}} |
− | 11731850;119571 | + | 11731850;119571;C:{{NWi|MM|4|5865925}} |
− | 11895718;120038 | + | 11895718;120038;C:{{NWi|MM|4|5947859}} |
16819291;131595 | 16819291;131595 | ||
− | |RRemarks= | + | 17748034;132678;C:{{NWi|MM|4|8874017}} |
+ | 18196595;133193 | ||
+ | 18924988;133776;C:{{NWi|MM|4|9462494}} | ||
+ | 20928756;136240;C:{{NWi|MM|4|10464378}} | ||
+ | 22103376;138599;C:{{NWi|MM|4|11051688}} | ||
+ | |RRemarks=The {{OEIS|l|A002235}}<br>See also {{NWi|PM|2|n}} & {{NWi|MM|4|n}} | ||
}} | }} | ||
==History== | ==History== | ||
− | {{HistF|2021-01-20|16819291|Rudi Tapper, PrimeGrid}} | + | {{HistF|2024-10-01|22103376|Piotr Chodzinski,PrimeGrid 321 Prime Search}} |
− | {{HistF|2015-06- | + | {{HistF|2023-07-06|20928756|Arno Lehmann,PrimeGrid 321 Prime Search|633916}} ([https://www.primegrid.com/download/321-20928756.pdf Official announcement]) |
− | {{HistF|2015-03- | + | {{HistF|2022-03-24|18924988|Frank Matillek,PrimeGrid 321 Prime Search|602726}} ([https://www.primegrid.com/download/321-18924988.pdf Official announcement]) |
− | {{HistF|2014-11- | + | {{HistF|2022-01-18|18196595|(Anonymous),PrimeGrid 321 Prime Search|598299}} ([https://www.primegrid.com/download/321-18196595.pdf Official announcement]) |
− | {{HistF|2010-04- | + | {{HistF|2021-09-06|17748034|Marc Wiseler,PrimeGrid 321 Prime Search|587767}} ([https://www.primegrid.com/download/321-17748034.pdf Official announcement]) |
− | {{HistF|2008- | + | {{HistC|2021-03-21|1-1000000|Gary Barnes|574248}}, double check, results included |
− | {{HistF|2007-03-08|3136255|Paul Underwood}} | + | {{HistF|2021-01-20|16819291|Rudi Tapper,PrimeGrid 321 Prime Search|P#9554}} ([https://www.primegrid.com/download/321-16819291.pdf Official announcement]) |
− | {{HistF|2005-12-20|2312734|Paul Underwood}} | + | {{HistF|2015-06-23|11895718|Michael Schulz,PrimeGrid 321 Prime Search|P#6364}} ([http://www.primegrid.com/download/321-11895718.pdf Official announcement]) |
− | {{HistF|2004-08-30|1232255|Thomas Ritschel}} | + | {{HistF|2015-03-13|11731850|Karsten Klopffleisch,PrimeGrid 321 Prime Search|P#6229}} ([http://www.primegrid.com/download/321-11731850.pdf Official announcement]) |
− | {{HistF|2004-08-24|1201046|Alexandre de Pereyra}} | + | {{HistF|2014-11-22|11484018|Serhiy Gushchak,PrimeGrid 321 Prime Search|P#6026}} ([http://www.primegrid.com/download/321-11484018.pdf Official announcement]) |
− | {{HistF|2004-05-17|992700|Jason Kowzun}} | + | {{HistF|2010-04-24|6090515|David Mumper,PrimeGrid 321 Prime Search|P#1767#22799}} ([http://www.primegrid.com/download/321-6090515.pdf Official announcement]) |
− | {{HistF|2004-01-23|727699|Luigi Morelli}} | + | {{HistF|2008-03-23|4235414|Dylan Bennett,PrimeGrid 321 Prime Search|131716}} ([http://www.primegrid.com/download/321-4235414.pdf Official announcement]) |
− | {{HistF|2003-11-13|702038|Thomas Ritschel}} | + | {{HistF|2007-03-08|3136255|Paul Underwood,321 Search|100309}} |
− | {{HistF|2003-08-20|584995|Sergey Kochergin}} | + | {{HistF|2005-12-20|2312734|Paul Underwood,321 Search|68346}} |
− | {{HistF|2003-05-21|414840|Paul Jobling}} | + | {{HistF|2004-08-30|1232255|Thomas Ritschel,321 Search|39327}} |
− | {{HistF|2003-04-10|234760|Thomas Ritschel}} | + | {{HistF|2004-08-24|1201046|Alexandre de Pereyra,321 Search|38786}} |
+ | {{HistF|2004-05-17|992700|Jason Kowzun,321 Search|29361}} | ||
+ | {{HistF|2004-01-23|727699|Luigi Morelli,321 Search|20517}} | ||
+ | {{HistF|2003-11-13|702038|Thomas Ritschel,321 Search|13680}} | ||
+ | {{HistF|2003-08-20|584995|Sergey Kochergin,321 Search|4618}} | ||
+ | {{HistF|2003-05-21|414840|Paul Jobling,321 Search|4616}} | ||
+ | {{HistF|2003-04-10|234760|Thomas Ritschel,321 Search|4614}} | ||
{{HistF|1999-09-21|164987|Ingo Buechel,Wilfrid Keller}} | {{HistF|1999-09-21|164987|Ingo Buechel,Wilfrid Keller}} | ||
{{HistF|1999-07-10|155930|Ingo Buechel,Wilfrid Keller}} | {{HistF|1999-07-10|155930|Ingo Buechel,Wilfrid Keller}} |
Latest revision as of 06:06, 13 October 2024
Reserved! This sequence is currently part of Multi Reservation 22: PrimeGrid 321 Prime Search. |
Current data
|
|
Remarks : |
The sequence A002235 in OEIS See also Williams 3•2n-1 & Williams 3•4n-1 |
Notes
- ↑ Sophie Germain n=1, Twin n=1
- ↑ Sophie Germain n=2, Twin n=2, Near Woodall 3•22-1, Williams 3•41-1
- ↑ Sophie Germain n=3, Woodall 3•23-1
- ↑ Near Woodall 3•24-1, Williams 3•42-1
- ↑ Sophie Germain n=6, Twin n=6, Woodall 3•43-1, Near Woodall 6•25-1, Williams 3•43-1
- ↑ Woodall 6•26-1
- ↑ Twin n=18, Woodall 3•643-1, Williams 3•49-1
- ↑ Williams 3•417-1
- ↑ Woodall 12•812-1, Williams 3•419-1
- ↑ Woodall 6•1286-1
- ↑ Woodall 6•5126-1
- ↑ Williams 3•432-1
- ↑ Williams 3•438-1
- ↑ Williams 3•447-1
- ↑ Woodall 6•1310726-1
- ↑ Woodall 12•13107212-1, Williams 3•4103-1
- ↑ Williams 3•4108-1
- ↑ Williams 3•4153-1
- ↑ Williams 3•4162-1
- ↑ Woodall 384•2384-1
- ↑ Williams 3•4229-1
- ↑ Williams 3•4235-1
- ↑ Williams 3•4637-1
- ↑ Williams 3•41638-1
- ↑ Williams 3•42102-1
- ↑ Williams 3•42567-1
- ↑ Williams 3•46338-1
- ↑ Williams 3•47449-1
- ↑ Williams 3•412845-1
- ↑ Williams 3•420814-1
- ↑ Williams 3•440165-1
- ↑ Williams 3•461815-1
- ↑ Williams 3•477965-1
- ↑ Williams 3•4117380-1
- ↑ Williams 3•4207420-1
- ↑ Williams 3•4351019-1
- ↑ Williams 3•4496350-1
- ↑ Williams 3•4600523-1
- ↑ Williams 3•41156367-1
- ↑ Williams 3•42117707-1
- ↑ Williams 3•45742009-1
- ↑ Williams 3•45865925-1
- ↑ Williams 3•45947859-1
- ↑ Williams 3•48874017-1
- ↑ Williams 3•49462494-1
- ↑ Williams 3•410464378-1
- ↑ Williams 3•411051688-1
History
- 2024-10-01: Found n = 22103376, Piotr Chodzinski, PrimeGrid 321 Prime Search
- 2023-07-06: Found n = 20928756, Arno Lehmann, PrimeGrid 321 Prime Search (Official announcement)
- 2022-03-24: Found n = 18924988, Frank Matillek, PrimeGrid 321 Prime Search (Official announcement)
- 2022-01-18: Found n = 18196595, (Anonymous), PrimeGrid 321 Prime Search (Official announcement)
- 2021-09-06: Found n = 17748034, Marc Wiseler, PrimeGrid 321 Prime Search (Official announcement)
- 2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
- 2021-01-20: Found n = 16819291, Rudi Tapper, PrimeGrid 321 Prime Search (Official announcement)
- 2015-06-23: Found n = 11895718, Michael Schulz, PrimeGrid 321 Prime Search (Official announcement)
- 2015-03-13: Found n = 11731850, Karsten Klopffleisch, PrimeGrid 321 Prime Search (Official announcement)
- 2014-11-22: Found n = 11484018, Serhiy Gushchak, PrimeGrid 321 Prime Search (Official announcement)
- 2010-04-24: Found n = 6090515, David Mumper, PrimeGrid 321 Prime Search (Official announcement)
- 2008-03-23: Found n = 4235414, Dylan Bennett, PrimeGrid 321 Prime Search (Official announcement)
- 2007-03-08: Found n = 3136255, Paul Underwood, 321 Search
- 2005-12-20: Found n = 2312734, Paul Underwood, 321 Search
- 2004-08-30: Found n = 1232255, Thomas Ritschel, 321 Search
- 2004-08-24: Found n = 1201046, Alexandre de Pereyra, 321 Search
- 2004-05-17: Found n = 992700, Jason Kowzun, 321 Search
- 2004-01-23: Found n = 727699, Luigi Morelli, 321 Search
- 2003-11-13: Found n = 702038, Thomas Ritschel, 321 Search
- 2003-08-20: Found n = 584995, Sergey Kochergin, 321 Search
- 2003-05-21: Found n = 414840, Paul Jobling, 321 Search
- 2003-04-10: Found n = 234760, Thomas Ritschel, 321 Search
- 1999-09-21: Found n = 164987, Ingo Buechel, Wilfrid Keller
- 1999-07-10: Found n = 155930, Ingo Buechel, Wilfrid Keller
- 1999-03-01: Found n = 123630, Ingo Buechel, Wilfrid Keller
- 1999-01-13: Found n = 97063, Ingo Buechel, Wilfrid Keller
- 1999-01-03: Found n = 88171, Ingo Buechel, Wilfrid Keller
- 1998-12-31: Found n = 85687, Ingo Buechel, Wilfrid Keller
- 1998-12-26: Found n = 80330, Ingo Buechel, Wilfrid Keller
- 1998-12-19: Found n = 71783, Ingo Buechel, Wilfrid Keller
- 1998-05-28: Found n = 51387, Henri Lifchitz
- 1998-05-10: Found n = 41628, Henri Lifchitz
- 1998-04-13: Found n = 25690, Ray Ballinger
- 1998-04-10: Found n = 18819, Ray Ballinger
- 1998-04-09: Found n = 18123, Ray Ballinger
- 1989: Found n = 26459, Sergio Zarantonello, Joel Smith, Gene Smith, Bodo Parady, Landon Curt Noll, John Brown
- 1980: Found n = 7559, Jurgen Buhl, Walter Borho
- 1980: Found n = 5134, Jurgen Buhl, Walter Borho
- 1980: Found n = 4204, Jurgen Buhl, Walter Borho
- 1979: Found n = 12676, Jurgen Buhl, Walter Borho