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Difference between revisions of "Proth prime 2 13"
m (Karbon moved page Proth prime 13 to Proth prime 2 13 without leaving a redirect: renamed) |
(add near Cullen prime) |
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{{Proth prime | {{Proth prime | ||
|Pk=13 | |Pk=13 | ||
| − | |PCount= | + | |Pb=2 |
| + | |PCount=28 | ||
|PNash=920 | |PNash=920 | ||
|PMaxn=9000000 | |PMaxn=9000000 | ||
| − | |PDate= | + | |PDate=2023-10-11 |
|PReserved= | |PReserved= | ||
|PMultiRes= | |PMultiRes= | ||
|PNlist= | |PNlist= | ||
| − | 2 | + | 2;T:G |
| − | 8 | + | 8;T:G |
| − | 10 | + | 10;T:G |
20;T:G | 20;T:G | ||
| − | 28 | + | 28;T:G;C:{{NCu|-|2|27}} |
| − | 82 | + | 82;T:G |
| − | 188 | + | 188;T:G |
| − | 308 | + | 308;T:G |
| − | 316 | + | 316;T:G |
| − | 1000 | + | 1000;T:G |
| − | 28280;19086 | + | 28280;19086;T:G |
| − | 38008;16653; | + | 38008;16653;T:G |
| − | 43856;14422 | + | 43856;14422;T:G |
| − | 88018;6349 | + | 88018;6349;T:G |
| − | 109258;3034 | + | 109258;3034;T:G |
| − | 114296;2855; | + | 114296;2855;T:G |
| − | 521306;64694 | + | 521306;64694;T:G |
| − | 562456;65036; | + | 562456;65036;T:G |
| − | 684560;65345; | + | 684560;65345;T:G |
| − | 1038896;68465 | + | 1038896;68465;T:G |
| − | 1499876;72917; | + | 1499876;72917;T:G |
| − | 1861732;76172; | + | 1861732;76172;T:G |
| − | 4998362;118181 | + | 4998362;118181;T:G |
5523860;130274;T:G | 5523860;130274;T:G | ||
| − | 6481780;130749 | + | 6481780;130749;T:G |
| − | 8989858;130753 | + | 8989858;130753;T:G |
| − | |PRemarks= | + | 15294536;136486;T:G |
| + | 16828072;136522;T:G | ||
| + | |PRemarks=The {{OEIS|l|A032356}} | ||
}} | }} | ||
==History== | ==History== | ||
| + | {{HistF|2023-10-11|16828072|Ryan Propper}} | ||
| + | {{HistF|2023-09-30|15294536|Ryan Propper}} | ||
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | ||
{{HistF|2020-03-10|8989858|Ryan Propper}} | {{HistF|2020-03-10|8989858|Ryan Propper}} | ||
{{HistF|2020-03-09|6481780|Ryan Propper}} | {{HistF|2020-03-09|6481780|Ryan Propper}} | ||
| − | {{HistF|2020-01-22|5523860|James Scott Brown,PrimeGrid Fermat Divisor Search}} | + | {{HistF|2020-01-22|5523860|James Scott Brown,PrimeGrid Fermat Divisor Search}} ([http://www.primegrid.com/download/DIV-F5523858.pdf Official announcement]) |
| + | {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}} | ||
{{HistF|2014-07-15|4998362|Mark Rodenkirch}} | {{HistF|2014-07-15|4998362|Mark Rodenkirch}} | ||
{{HistF|2005-11-14|1861732|Peter Grobstich}} | {{HistF|2005-11-14|1861732|Peter Grobstich}} | ||
| Line 54: | Line 60: | ||
{{HistF|1992|38008|Harvey Dubner}} | {{HistF|1992|38008|Harvey Dubner}} | ||
{{HistF|1992-10|28280|Harvey Dubner}} | {{HistF|1992-10|28280|Harvey Dubner}} | ||
| + | {{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}} | ||
{{HistF|1886|28|Paul Seelhoff}} | {{HistF|1886|28|Paul Seelhoff}} | ||
{{HistF|1886|20|Paul Seelhoff}} | {{HistF|1886|20|Paul Seelhoff}} | ||
Latest revision as of 01:14, 27 September 2024
Current data
|
|
Remarks : |
The sequence A032356 in OEIS |
Notes
- ↑ Is GF Divisor of xGF(1,12,11)
- ↑ Is GF Divisor of xGF(7,6,5) [+2]
- ↑ Is GF Divisor of GF(9,7) [+2]
- ↑ Is GF Divisor of F(18) [+8]
- ↑ Is GF Divisor of xGF(27,5,3) [+2], Near Cullen 26•227+1
- ↑ Is GF Divisor of GF(81,10)
- ↑ Is GF Divisor of xGF(187,5,3) [+6]
- ↑ Is GF Divisor of GF(307,12)
- ↑ Is GF Divisor of xGF(315,6,5) [+1]
- ↑ Is GF Divisor of GF(999,3) [+3]
- ↑ Is GF Divisor of xGF(28278,9,2)
- ↑ Is GF Divisor of xGF(38005,7,6) [+2]
- ↑ Is GF Divisor of xGF(43853,5,4) [+2]
- ↑ Is GF Divisor of xGF(88017,11,4) [+1]
- ↑ Is GF Divisor of xGF(109256,5,3) [+2]
- ↑ Is GF Divisor of F(114293) [+5]
- ↑ Is GF Divisor of xGF(521305,4,3) [+1]
- ↑ Is GF Divisor of GF(562454,5) [+1]
- ↑ Is GF Divisor of xGF(684559,5,3) [+5]
- ↑ Is GF Divisor of xGF(1038895,5,3) [+1]
- ↑ Is GF Divisor of GF(1499875,3) [+5]
- ↑ Is GF Divisor of GF(1861731,6) [+2]
- ↑ Is GF Divisor of xGF(4998361,5,2) [+2]
- ↑ Is GF Divisor of F(5523858) [+6]
- ↑ Is GF Divisor of xGF(6481774,5,2) [+5]
- ↑ Is GF Divisor of xGF(8989854,6,5) [+3]
- ↑ Is GF Divisor of xGF(15294533,9,2) [+1]
- ↑ Is GF Divisor of xGF(16828071,7,2) [+4]
History
- 2023-10-11: Found n = 16828072, Ryan Propper
- 2023-09-30: Found n = 15294536, Ryan Propper
- 2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
- 2020-03-10: Found n = 8989858, Ryan Propper
- 2020-03-09: Found n = 6481780, Ryan Propper
- 2020-01-22: Found n = 5523860, James Scott Brown, PrimeGrid Fermat Divisor Search (Official announcement)
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2014-07-15: Found n = 4998362, Mark Rodenkirch
- 2005-11-14: Found n = 1861732, Peter Grobstich
- 2004-12-30: Found n = 1499876, Peter Grobstich
- 2004-01-21: Found n = 1038896, Peter Grobstich
- 2003-07-01: Found n = 684560, Peter Grobstich
- 2003-06-10: Found n = 562456, Peter Grobstich
- 2003-05-14: Found n = 521306, Peter Grobstich
- 1995-08: Found n = 114296, Jeffrey Young
- 1995-08: Found n = 109258, Jeffrey Young
- 1995-08: Found n = 88018, Jeffrey Young
- 1993-05: Found n = 43856, Jeffrey Young
- 1992: Found n = 38008, Harvey Dubner
- 1992-10: Found n = 28280, Harvey Dubner
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams
- 1886: Found n = 28, Paul Seelhoff
- 1886: Found n = 20, Paul Seelhoff
