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Difference between revisions of "Proth prime 2 3"
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(add Cullen & near Cullen primes) |
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Line 10: | Line 10: | ||
|PNlist= | |PNlist= | ||
1;T:GT | 1;T:GT | ||
− | 2;T:GT | + | 2;T:GT;C:{{NCu|+|2|2}}, {{NWi|MP|4|1}} |
5;T:G | 5;T:G | ||
− | 6;T:GT | + | 6;T:GT;C:{{NCu|4|3}}, {{NCu|+|2|5}}, {{NWi|MP|4|3}} |
− | 8;T:G | + | 8;T:G;C:{{NCu|-|2|7}}, {{NWi|MP|4|4}} |
− | 12;T:G | + | 12;T:G;C:{{NCu|16|3}}, {{NWi|MP|4|6}} |
− | 18;T:GT | + | 18;T:GT;C:{{NCu|64|3}}, {{NWi|MP|4|9}} |
− | 30;T:G | + | 30;T:G;C:{{NCu|1024|3}}, {{NWi|MP|4|15}} |
− | 36;T:G | + | 36;T:G;C:{{NCu|4096|3}}, {{NWi|MP|4|18}} |
41;T:G | 41;T:G | ||
− | 66;T:G | + | 66;T:G;C:{{NWi|MP|4|33}} |
189;T:G | 189;T:G | ||
201;T:G | 201;T:G | ||
209;T:G | 209;T:G | ||
− | 276;T:G | + | 276;T:G;C:{{NWi|MP|4|138}} |
353;T:G | 353;T:G | ||
− | 408;T:G | + | 408;T:G;C:{{NWi|MP|4|204}} |
− | 438;T:G | + | 438;T:G;C:{{NWi|MP|4|219}} |
− | 534;T:G | + | 534;T:G;C:{{NWi|MP|4|267}} |
− | 2208;T:G | + | 2208;T:G;C:{{NWi|MP|4|1104}} |
− | 2816;T:G | + | 2816;T:G;C:{{NWi|MP|4|1408}} |
− | 3168;T:G | + | 3168;T:G;C:{{NWi|MP|4|1584}} |
3189;T:G | 3189;T:G | ||
− | 3912;48357;T:G | + | 3912;48357;T:G;C:{{NWi|MP|4|1956}} |
20909;22329;T:G | 20909;22329;T:G | ||
− | 34350;17264;T:G | + | 34350;17264;T:G;C:{{NWi|MP|4|17175}} |
− | 42294;14919;T:G | + | 42294;14919;T:G;C:{{NWi|MP|4|21147}} |
42665;14813;T:G | 42665;14813;T:G | ||
44685;14049;T:G | 44685;14049;T:G | ||
− | 48150;13029;T:G | + | 48150;13029;T:G;C:{{NWi|MP|4|24075}} |
− | 54792;T:G | + | 54792;T:G;C:{{NWi|MP|4|27396}} |
− | 55182;11285;T:G | + | 55182;11285;T:G;C:{{NWi|MP|4|27591}} |
59973;10729;T:G | 59973;10729;T:G | ||
− | 80190;7057;T:G | + | 80190;7057;T:G;C:{{NWi|MP|4|40095}} |
157169;1180;T:G | 157169;1180;T:G | ||
213321;401;T:G | 213321;401;T:G | ||
Line 48: | Line 48: | ||
362765;101;T:G | 362765;101;T:G | ||
382449;94;T:G | 382449;94;T:G | ||
− | 709968;74546;T:G | + | 709968;74546;T:G;C:{{NWi|MP|4|354984}} |
− | 801978;75498;T:G | + | 801978;75498;T:G;C:{{NWi|MP|4|400989}} |
916773;22;T:G | 916773;22;T:G | ||
− | 1832496;81819;T:G | + | 1832496;81819;T:G;C:{{NWi|MP|4|916248}} |
2145353;64011;T:G | 2145353;64011;T:G | ||
− | 2291610;85438;T:G | + | 2291610;85438;T:G;C:{{NWi|MP|4|1145805}} |
2478785;66628;T:G | 2478785;66628;T:G | ||
− | 5082306;87449;T:G | + | 5082306;87449;T:G;C:{{NWi|MP|4|2541153}} |
7033641;98959;T:G | 7033641;98959;T:G | ||
− | 10829346;116922;T:G | + | 10829346;116922;T:G;C:{{NWi|MP|4|5414673}} |
− | 16408818;131362;T:G | + | 16408818;131362;T:G;C:{{NWi|MP|4|8204409}} |
− | |PRemarks=The {{OEIS|l|A002253}} | + | |PRemarks=The {{OEIS|l|A002253}}<br>See also {{NWi|PP|2|n}} & {{NWi|MP|4|n}} |
}} | }} | ||
==History== | ==History== |
Latest revision as of 20:27, 26 September 2024
Reserved! This sequence is currently part of Multi Reservation 22: PrimeGrid 321 Prime Search. |
Current data
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Remarks : |
The sequence A002253 in OEIS See also Williams 3•2n+1 & Williams 3•4n+1 |
Notes
- ↑ Is GF Divisor of xGF(0,11,10), Twin n=1
- ↑ Is GF Divisor of xGF(1,7,4) [+4], Twin n=2, Near Cullen 3•22+1, Williams 3•41+1
- ↑ Is GF Divisor of xGF(4,5,2) [+11]
- ↑ Is GF Divisor of GF(3,3) [+11], Twin n=6, Cullen 3•43+1, Near Cullen 6•25+1, Williams 3•43+1
- ↑ Is GF Divisor of xGF(6,3,2) [+13], Near Cullen 6•27+1, Williams 3•44+1
- ↑ Is GF Divisor of GF(8,3) [+12], Cullen 3•163+1, Williams 3•46+1
- ↑ Is GF Divisor of GF(15,3) [+12], Twin n=18, Cullen 3•643+1, Williams 3•49+1
- ↑ Is GF Divisor of GF(26,3) [+12], Cullen 3•10243+1, Williams 3•415+1
- ↑ Is GF Divisor of GF(32,3) [+14], Cullen 3•40963+1, Williams 3•418+1
- ↑ Is GF Divisor of F(38) [+9]
- ↑ Is GF Divisor of GF(63,3) [+14], Williams 3•433+1
- ↑ Is GF Divisor of GF(187,3) [+12]
- ↑ Is GF Divisor of GF(198,3) [+11]
- ↑ Is GF Divisor of F(207) [+19]
- ↑ Is GF Divisor of GF(271,3) [+14], Williams 3•4138+1
- ↑ Is GF Divisor of xGF(350,3,2) [+11]
- ↑ Is GF Divisor of GF(403,3) [+14], Williams 3•4204+1
- ↑ Is GF Divisor of GF(435,3) [+12], Williams 3•4219+1
- ↑ Is GF Divisor of GF(531,3) [+12], Williams 3•4267+1
- ↑ Is GF Divisor of GF(2197,3) [+14], Williams 3•41104+1
- ↑ Is GF Divisor of xGF(2812,3,2) [+15], Williams 3•41408+1
- ↑ Is GF Divisor of GF(3160,3) [+14], Williams 3•41584+1
- ↑ Is GF Divisor of GF(3187,3) [+12]
- ↑ Is GF Divisor of GF(3906,3) [+15], Williams 3•41956+1
- ↑ Is GF Divisor of xGF(20905,3,2) [+13]
- ↑ Is GF Divisor of GF(34346,3) [+12], Williams 3•417175+1
- ↑ Is GF Divisor of GF(42290,3) [+12], Williams 3•421147+1
- ↑ Is GF Divisor of xGF(42662,3,2) [+11]
- ↑ Is GF Divisor of GF(44683,3) [+16]
- ↑ Is GF Divisor of GF(48146,3) [+12], Williams 3•424075+1
- ↑ Is GF Divisor of GF(54787,3) [+15], Williams 3•427396+1
- ↑ Is GF Divisor of GF(55178,3) [+11], Williams 3•427591+1
- ↑ Is GF Divisor of GF(59970,3) [+15]
- ↑ Is GF Divisor of GF(80187,3) [+12], Williams 3•440095+1
- ↑ Is GF Divisor of F(157167) [+20]
- ↑ Is GF Divisor of F(213319) [+10]
- ↑ Is GF Divisor of F(303088) [+20]
- ↑ Is GF Divisor of xGF(362762,3,2) [+12]
- ↑ Is GF Divisor of F(382447) [+9]
- ↑ Is GF Divisor of GF(709962,3) [+14], Williams 3•4354984+1
- ↑ Is GF Divisor of GF(801973,3) [+12], Williams 3•4400989+1
- ↑ Is GF Divisor of GF(916771,3) [+16]
- ↑ Is GF Divisor of GF(1832490,3) [+18], Williams 3•4916248+1
- ↑ Is GF Divisor of F(2145351) [+19]
- ↑ Is GF Divisor of GF(2291607,3) [+14], Williams 3•41145805+1
- ↑ Is GF Divisor of F(2478782) [+9]
- ↑ Is GF Divisor of GF(5082303,3) [+14], Williams 3•42541153+1
- ↑ Is GF Divisor of GF(7033639,3) [+12]
- ↑ Is GF Divisor of GF(10829343,3) [+14], Williams 3•45414673+1
- ↑ Is GF Divisor of GF(16408814,3) [+12], Williams 3•48204409+1
History
- 2020-10-25: Found n = 16408818, James Scott Brown, PrimeGrid 321 Prime Search (Official announcement)
- 2012-01-14: Found n = 10829346, Sai Yik Tang, PrimeGrid 321 Prime Search (Official announcement)
- 2011-02-21: Found n = 7033641, Michael Herder, PrimeGrid 321 Prime Search (Official announcement)
- 2009-04-03: Found n = 5082306, Andy Brady, PrimeGrid 321 Prime Search (Official announcement)
- 2008-08-11: Found n = 2291610, Thomas Wolfram, PrimeGrid 321 Prime Search (Official announcement)
- 2007-07-27: Found n = 1832496, Joseph Bohanon
- 2005-09-02: Found n = 801978, Keith P. Adney
- 2005-05-21: Found n = 709968, Keith P. Adney
- 2003-10-14: Found n = 2478785, John Cosgrave
- 2003-02-25: Found n = 2145353, John Cosgrave
- 2002-07-30: Found n = 362765, John Cosgrave
- 2001-06-02: Found n = 916773, John Cosgrave
- 1999-07-23: Found n = 382449, John Cosgrave
- 1998-01: Found n = 303093, Jeffrey Young
- 1997-05: Found n = 213321, Jeffrey Young
- 1995-08: Found n = 157169, Jeffrey Young
- 1995-08: Found n = 80190, Jeffrey Young
- 1995-08: Found n = 59973, Jeffrey Young
- 1993-10: Found n = 55182, Jeffrey Young
- 1993-10-01: Found n = 48150, Jeffrey Young
- 1993: Found n = 44685, Jeffrey Young
- 1993: Found n = 42665, Jeffrey Young
- 1993-07-01: Found n = 42294, Jeffrey Young
- 1992-10: Found n = 34350, Harvey Dubner
- 1985: Found n = 20909, Wilfrid Keller
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3912, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3189, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3168, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2816, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2208, Gordon V. Cormack, Hugh C. Williams