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Difference between revisions of "Proth prime 2 15"
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| Line 2: | Line 2: | ||
|Pk=15 | |Pk=15 | ||
|Pb=2 | |Pb=2 | ||
| − | |PCount= | + | |PCount=65 |
|PNash=2873 | |PNash=2873 | ||
|PMaxn=9000000 | |PMaxn=9000000 | ||
| − | |PDate= | + | |PDate=2024-09-02 |
|PReserved= | |PReserved= | ||
|PMultiRes= | |PMultiRes= | ||
| Line 11: | Line 11: | ||
1;T:T | 1;T:T | ||
2;T:T | 2;T:T | ||
| − | 4;T:GT | + | 4;T:GT;C:{{NWi|MP|16|1}} |
9;T:G | 9;T:G | ||
10;T:GT | 10;T:GT | ||
| − | 12;T:G | + | 12;T:G;C:{{NWi|MP|16|3}} |
27;T:G | 27;T:G | ||
37;T:G | 37;T:G | ||
38;T:G | 38;T:G | ||
| − | 44;T:G | + | 44;T:G;C:{{NWi|MP|16|11}} |
| − | 48;T:G | + | 48;T:G;C:{{NWi|MP|16|12}} |
78;T:G | 78;T:G | ||
| − | 112;T:G | + | 112;T:G;C:{{NWi|MP|16|28}} |
| − | 168;T:G | + | 168;T:G;C:{{NWi|MP|16|42}} |
229;T:G | 229;T:G | ||
297;T:G | 297;T:G | ||
| Line 29: | Line 29: | ||
522;T:G | 522;T:G | ||
654;T:G | 654;T:G | ||
| − | 900;T:G | + | 900;T:G;C:{{NWi|MP|16|225}} |
1518;T:G | 1518;T:G | ||
| − | 2808;T:G | + | 2808;T:G;C:{{NWi|MP|16|702}} |
2875;T:G | 2875;T:G | ||
| − | 3128;T:G | + | 3128;T:G;C:{{NWi|MP|16|782}} |
| − | 3888;48604;T:G | + | 3888;48604;T:G;C:{{NWi|MP|16|972}} |
4410;41988;T:G | 4410;41988;T:G | ||
| − | 6804;35164;T:G | + | 6804;35164;T:G;C:{{NWi|MP|16|1701}} |
7050;34294;T:G | 7050;34294;T:G | ||
| − | 7392;33372;T:G | + | 7392;33372;T:G;C:{{NWi|MP|16|1848}} |
19219;23152;T:G | 19219;23152;T:G | ||
21445;22098;T:G | 21445;22098;T:G | ||
| Line 44: | Line 44: | ||
24105;20592;T:G | 24105;20592;T:G | ||
24995;20233;T:G | 24995;20233;T:G | ||
| − | 34224;17281;T:G | + | 34224;17281;T:G;C:{{NWi|MP|16|8556}} |
| − | 34260;17272;T:G | + | 34260;17272;T:G;C:{{NWi|MP|16|8565}} |
| − | 43388;14582;T:G | + | 43388;14582;T:G;C:{{NWi|MP|16|10847}} |
| − | 48444;12997;T:G | + | 48444;12997;T:G;C:{{NWi|MP|16|12111}} |
61758;10009;T:G | 61758;10009;T:G | ||
184290;635;T:G | 184290;635;T:G | ||
294894;66508;T:G | 294894;66508;T:G | ||
| − | 300488;228;T:G | + | 300488;228;T:G;C:{{NWi|MP|16|75122}} |
403929;89;T:G | 403929;89;T:G | ||
483098;68755;T:G | 483098;68755;T:G | ||
635989;72068;T:G | 635989;72068;T:G | ||
701902;71862;T:G | 701902;71862;T:G | ||
| − | 734400;72166;T:G | + | 734400;72166;T:G;C:{{NWi|MP|16|183600}} |
| − | 1229600;77314;T:G | + | 1229600;77314;T:G;C:{{NWi|MP|16|307400}} |
1244377;76924;T:G | 1244377;76924;T:G | ||
1276177;77070;T:G | 1276177;77070;T:G | ||
| − | 1368428;77008;T:G | + | 1368428;77008;T:G;C:{{NWi|MP|16|342107}} |
1418605;77623;T:G | 1418605;77623;T:G | ||
1597510;78327;T:G | 1597510;78327;T:G | ||
| − | 1667744;80051;T:G | + | 1667744;80051;T:G;C:{{NWi|MP|16|416936}} |
2393365;92437;T:G | 2393365;92437;T:G | ||
| − | 2785940;110153;T:G | + | 2785940;110153;T:G;C:{{NWi|MP|16|696485}} |
2988834;110411;T:G | 2988834;110411;T:G | ||
3162659;110507;T:G | 3162659;110507;T:G | ||
| − | 4246384;114175;T:G | + | 4246384;114175;T:G;C:{{NWi|MP|16|1061596}} |
4800315;130039;T:G | 4800315;130039;T:G | ||
7300254;131357;T:G | 7300254;131357;T:G | ||
7619838;131499;T:G | 7619838;131499;T:G | ||
| − | |PRemarks= | + | 9312889;136334;T:G |
| + | 9830108;136364;T:G;C:{{NWi|MP|16|2457527}} | ||
| + | |PRemarks=The {{OEIS|l|A002258}}<br>See also {{NWi|MP|16|n}} | ||
}} | }} | ||
==History== | ==History== | ||
| + | {{HistC|2024-09-02|8-400000 only {{Vn}} ≡ 0 mod 4|Mark Rodenkirch|1052874}}, double-check, released | ||
| + | {{HistR|2024-08-22|Mark Rodenkirch|903884}} for {{Rn|8|400000}} '''only {{Vn}} ≡ 0 mod 4''', double-check | ||
| + | {{HistF|2023-08-19|9830108|Ryan Propper}} | ||
| + | {{HistF|2023-08-07|9312889|Ryan Propper}} | ||
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | ||
{{HistF|2020-12-24|7619838|(Anonymous),PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-7619838.pdf Official announcement]) | {{HistF|2020-12-24|7619838|(Anonymous),PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-7619838.pdf Official announcement]) | ||
{{HistF|2020-10-25|7300254|Robert Gelhar,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-7300254.pdf Official announcement]) | {{HistF|2020-10-25|7300254|Robert Gelhar,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-7300254.pdf Official announcement]) | ||
{{HistF|2019-10-16|4800315|Ricky L. Hubbard,PrimeGrid Fermat Divisor Search}} | {{HistF|2019-10-16|4800315|Ricky L. Hubbard,PrimeGrid Fermat Divisor Search}} | ||
| + | {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}} | ||
{{HistF|2013-05-18|4246384|Serge Batalov}} | {{HistF|2013-05-18|4246384|Serge Batalov}} | ||
{{HistF|2012-12-30|3162659|Serge Batalov}} | {{HistF|2012-12-30|3162659|Serge Batalov}} | ||
Latest revision as of 17:17, 7 September 2024
Current data
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Remarks : |
The sequence A002258 in OEIS See also Williams 15•16n+1 |
Notes
- ↑ Twin n=1
- ↑ Twin n=2
- ↑ Is GF Divisor of xGF(3,11,2), Twin n=4, Williams 15•161+1
- ↑ Is GF Divisor of xGF(7,5,3) [+3]
- ↑ Is GF Divisor of xGF(9,7,6) [+3], Twin n=10
- ↑ Is GF Divisor of xGF(11,11,4), Williams 15•163+1
- ↑ Is GF Divisor of xGF(25,9,2) [+2]
- ↑ Is GF Divisor of xGF(36,7,5) [+3]
- ↑ Is GF Divisor of xGF(37,10,7)
- ↑ Is GF Divisor of xGF(43,7,3) [+3], Williams 15•1611+1
- ↑ Is GF Divisor of GF(45,8), Williams 15•1612+1
- ↑ Is GF Divisor of xGF(76,7,5)
- ↑ Is GF Divisor of xGF(110,5,2) [+2], Williams 15•1628+1
- ↑ Is GF Divisor of xGF(165,7,2) [+3], Williams 15•1642+1
- ↑ Is GF Divisor of F(226) [+5]
- ↑ Is GF Divisor of xGF(294,7,4) [+1]
- ↑ Is GF Divisor of xGF(337,7,3) [+2]
- ↑ Is GF Divisor of xGF(514,10,9) [+3]
- ↑ Is GF Divisor of xGF(519,9,5) [+1]
- ↑ Is GF Divisor of xGF(650,9,5)
- ↑ Is GF Divisor of GF(896,3) [+3], Williams 15•16225+1
- ↑ Is GF Divisor of GF(1513,5) [+3]
- ↑ Is GF Divisor of xGF(2804,5,2), Williams 15•16702+1
- ↑ Is GF Divisor of GF(2872,12)
- ↑ Is GF Divisor of xGF(3125,3,2) [+4], Williams 15•16782+1
- ↑ Is GF Divisor of xGF(3886,7,5) [+1], Williams 15•16972+1
- ↑ Is GF Divisor of xGF(4406,9,8) [+1]
- ↑ Is GF Divisor of GF(6801,6), Williams 15•161701+1
- ↑ Is GF Divisor of xGF(7048,4,3) [+2]
- ↑ Is GF Divisor of xGF(7391,11,10), Williams 15•161848+1
- ↑ Is GF Divisor of xGF(19218,9,7) [+3]
- ↑ Is GF Divisor of xGF(21443,10,9) [+1]
- ↑ Is GF Divisor of xGF(21546,11,8)
- ↑ Is GF Divisor of xGF(24103,10,9) [+1]
- ↑ Is GF Divisor of GF(24990,3)
- ↑ Is GF Divisor of xGF(34221,5,3) [+6], Williams 15•168556+1
- ↑ Is GF Divisor of xGF(34255,9,5) [+1], Williams 15•168565+1
- ↑ Is GF Divisor of GF(43379,6) [+9], Williams 15•1610847+1
- ↑ Is GF Divisor of xGF(48443,11,8), Williams 15•1612111+1
- ↑ Is GF Divisor of xGF(61755,9,2) [+1]
- ↑ Is GF Divisor of xGF(184288,5,4) [+5]
- ↑ Is GF Divisor of xGF(294893,11,9)
- ↑ Is GF Divisor of xGF(300485,4,3) [+6], Williams 15•1675122+1
- ↑ Is GF Divisor of xGF(403927,4,3) [+5]
- ↑ Is GF Divisor of xGF(483094,6,5) [+3]
- ↑ Is GF Divisor of xGF(635988,7,2) [+2]
- ↑ Is GF Divisor of xGF(701895,6,5) [+2]
- ↑ Is GF Divisor of xGF(734398,9,5) [+1], Williams 15•16183600+1
- ↑ Is GF Divisor of xGF(1229599,7,5) [+2], Williams 15•16307400+1
- ↑ Is GF Divisor of xGF(1244376,7,4) [+2]
- ↑ Is GF Divisor of GF(1276174,3) [+8]
- ↑ Is GF Divisor of xGF(1368426,8,5) [+3], Williams 15•16342107+1
- ↑ Is GF Divisor of xGF(1418603,4,3) [+11]
- ↑ Is GF Divisor of xGF(1597505,5,3) [+1]
- ↑ Is GF Divisor of xGF(1667743,8,7) [+1], Williams 15•16416936+1
- ↑ Is GF Divisor of xGF(2393362,5,4) [+3]
- ↑ Is GF Divisor of xGF(2785939,7,4) [+2], Williams 15•16696485+1
- ↑ Is GF Divisor of GF(2988832,8) [+1]
- ↑ Is GF Divisor of xGF(3162658,10,7) [+2]
- ↑ Is GF Divisor of GF(4246381,6) [+4], Williams 15•161061596+1
- ↑ Is GF Divisor of GF(4800313,3) [+5]
- ↑ Is GF Divisor of xGF(7300253,11,8)
- ↑ Is GF Divisor of xGF(7619837,11,6) [+1]
- ↑ Is GF Divisor of xGF(9312887,3,2) [+1]
- ↑ Is GF Divisor of xGF(9830107,7,6) [+1], Williams 15•162457527+1
History
- 2024-09-02: Checked n = 8 - 400000 only n ≡ 0 mod 4, Mark Rodenkirch, double-check, released
- 2024-08-22: Reserved by Mark Rodenkirch for n = 8 - 400000 only n ≡ 0 mod 4, double-check
- 2023-08-19: Found n = 9830108, Ryan Propper
- 2023-08-07: Found n = 9312889, Ryan Propper
- 2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
- 2020-12-24: Found n = 7619838, (Anonymous), PrimeGrid Fermat Divisor Search (Official announcement)
- 2020-10-25: Found n = 7300254, Robert Gelhar, PrimeGrid Fermat Divisor Search (Official announcement)
- 2019-10-16: Found n = 4800315, Ricky L. Hubbard, PrimeGrid Fermat Divisor Search
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2013-05-18: Found n = 4246384, Serge Batalov
- 2012-12-30: Found n = 3162659, Serge Batalov
- 2012-12-15: Found n = 2988834, Serge Batalov
- 2012-11-25: Found n = 2785940, Serge Batalov
- 2010-04-14: Found n = 2393365, Darren Wallace, PrimeGrid Proth Prime Search
- 2007-04-16: Found n = 1667744, Curtis Cooper
- 2006-08-19: Found n = 1597510, Curtis Cooper
- 2006-04-20: Found n = 1418605, Curtis Cooper
- 2006-03-15: Found n = 1229600, Curtis Cooper
- 2006-02-15: Found n = 1276177, Curtis Cooper
- 2006-02-09: Found n = 1368428, Curtis Cooper
- 2006-01-31: Found n = 1244377, Curtis Cooper
- 2004-10-25: Found n = 734400, Payam Samidoost
- 2004-10-18: Found n = 635989, Payam Samidoost
- 2004-10-05: Found n = 701902, Payam Samidoost
- 2004-02-09: Found n = 483098, Payam Samidoost
- 2003-10-06: Found n = 294894, Payam Samidoost
- 2002-10: Found n = 403929, Payam Samidoost
- 2002-02-12: Found n = 300488, Payam Samidoost
- 1998-10-01: Found n = 184290, Jeffrey Young
- 1995-08: Found n = 61758, Jeffrey Young
- 1995-08: Found n = 48444, Jeffrey Young
- 1995-08: Found n = 43388, Jeffrey Young
- 1993-10-01: Found n = 34260, Harvey Dubner
- 1993: Found n = 34224, Harvey Dubner
- 1993-10-01: Found n = 24995, Harvey Dubner
- 1993-10-01: Found n = 24105, Harvey Dubner
- 1993-03: Found n = 21550, Harvey Dubner
- 1992-12-01: Found n = 21445, Harvey Dubner
- 1992-12-01: Found n = 19219, Harvey Dubner
- 1983: Found n = 7392, Wilfrid Keller
- 1983: Found n = 7050, Wilfrid Keller
- 1983: Found n = 6804, Wilfrid Keller
- 1983: Found n = 4410, Wilfrid Keller
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams, missed n=1518
- 1979: Found n = 3888, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3128, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2875, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2808, Gordon V. Cormack, Hugh C. Williams
