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Difference between revisions of "Proth prime 2 25"
(all GF Divs+hist) |
(add near Cullen prime) |
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| (4 intermediate revisions by 3 users not shown) | |||
| Line 2: | Line 2: | ||
|Pk=25 | |Pk=25 | ||
|Pb=2 | |Pb=2 | ||
| − | |PCount= | + | |PCount=46 |
|PNash=2198 | |PNash=2198 | ||
|PMaxn=9000000 | |PMaxn=9000000 | ||
| − | |PDate= | + | |PDate=2022-09-21 |
|PReserved= | |PReserved= | ||
|PMultiRes= | |PMultiRes= | ||
| Line 15: | Line 15: | ||
20 | 20 | ||
22 | 22 | ||
| − | 52;T:G | + | 52;T:G;C:{{NCu|-|2|51}} |
64;T:G | 64;T:G | ||
78;T:G | 78;T:G | ||
| Line 54: | Line 54: | ||
8456828;131626;T:G | 8456828;131626;T:G | ||
8788628;132108;T:G | 8788628;132108;T:G | ||
| − | |PRemarks=For all | + | 13719266;134407;T:G |
| + | |PRemarks=The {{OEIS|l|A032362}}<br>For all {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]]. | ||
|PSieve= | |PSieve= | ||
}} | }} | ||
==History== | ==History== | ||
| + | {{HistF|2022-09-21|13719266|Ryan Propper}} | ||
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | ||
{{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official announcement]) | {{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official announcement]) | ||
| Line 63: | Line 65: | ||
{{HistF|2019-10-12|4481024|Will Steinbach,PrimeGrid Fermat Divisor Search}} | {{HistF|2019-10-12|4481024|Will Steinbach,PrimeGrid Fermat Divisor Search}} | ||
{{HistF|2019-09-18|3733144|Tom Greer,PrimeGrid Fermat Divisor Search}} | {{HistF|2019-09-18|3733144|Tom Greer,PrimeGrid Fermat Divisor Search}} | ||
| + | {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}} | ||
{{HistF|2013-04-22|2927222|Rick Channing,PrimeGrid Proth Prime Search}} | {{HistF|2013-04-22|2927222|Rick Channing,PrimeGrid Proth Prime Search}} | ||
{{HistF|2013-04-20|2583690|Håkan Lind,PrimeGrid Proth Prime Search}} | {{HistF|2013-04-20|2583690|Håkan Lind,PrimeGrid Proth Prime Search}} | ||
Latest revision as of 01:37, 27 September 2024
Current data
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|
Remarks : |
The sequence A032362 in OEIS For all n-values 25•2n+1 is a Generalized Fermat number. |
Notes
- ↑ Is GF Divisor of xGF(3,3,2)
- ↑ Is GF Divisor of xGF(4,9,2)
- ↑ Is GF Divisor of xGF(8,9,2)
- ↑ Is GF Divisor of GF(48,10) [+1], Near Cullen 50•251+1
- ↑ Is GF Divisor of xGF(63,6,5)
- ↑ Is GF Divisor of xGF(77,3,2) [+2]
- ↑ Is GF Divisor of xGF(183,5,3) [+1]
- ↑ Is GF Divisor of xGF(230,9,2)
- ↑ Is GF Divisor of xGF(338,9,5)
- ↑ Is GF Divisor of xGF(439,5,2) [+2]
- ↑ Is GF Divisor of xGF(662,7,2) [+1]
- ↑ Is GF Divisor of xGF(738,9,8) [+1]
- ↑ Is GF Divisor of xGF(742,5,2) [+1]
- ↑ Is GF Divisor of xGF(1278,9,8) [+1]
- ↑ Is GF Divisor of xGF(1324,12,11)
- ↑ Is GF Divisor of xGF(1638,7,3) [+1]
- ↑ Is GF Divisor of xGF(3312,11,8)
- ↑ Is GF Divisor of GF(3903,6) [+2]
- ↑ Is GF Divisor of xGF(3934,12,11)
- ↑ Is GF Divisor of GF(5147,10)
- ↑ Is GF Divisor of xGF(57484,5,2) [+2]
- ↑ Is GF Divisor of xGF(66871,4,3) [+1]
- ↑ Is GF Divisor of xGF(148059,7,6) [+1]
- ↑ Is GF Divisor of xGF(154252,7,3) [+1]
- ↑ Is GF Divisor of xGF(216091,11,10)
- ↑ Is GF Divisor of xGF(302187,8,5)
- ↑ Is GF Divisor of xGF(367288,8,5)
- ↑ Is GF Divisor of xGF(627709,3,2) [+1]
- ↑ Is GF Divisor of xGF(966412,11,5)
- ↑ Is GF Divisor of GF(1211487,12)
- ↑ Is GF Divisor of xGF(1258561,7,2)
- ↑ Is GF Divisor of F(2141872) [+5]
- ↑ Is GF Divisor of xGF(2927219,7,6) [+1]
- ↑ Is GF Divisor of xGF(3733139,8,5) [+1]
- ↑ Is GF Divisor of xGF(4481020,8,5) [+1]
- ↑ Is GF Divisor of GF(8456827,12)
- ↑ Is GF Divisor of xGF(8788627,11,4)
- ↑ Is GF Divisor of xGF(13719265,7,5) [+2]
History
- 2022-09-21: Found n = 13719266, Ryan Propper
- 2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
- 2021-03-01: Found n = 8788628, Tom Greer, PrimeGrid Fermat Divisor Search (Official announcement)
- 2021-01-28: Found n = 8456828, Wolfgang Schwieger, PrimeGrid Fermat Divisor Search (Official announcement)
- 2019-10-12: Found n = 4481024, Will Steinbach, PrimeGrid Fermat Divisor Search
- 2019-09-18: Found n = 3733144, Tom Greer, PrimeGrid Fermat Divisor Search
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2013-04-22: Found n = 2927222, Rick Channing, PrimeGrid Proth Prime Search
- 2013-04-20: Found n = 2583690, Håkan Lind, PrimeGrid Proth Prime Search
- 2011-09-12: Found n = 2141884, Grzegorz Granowski, PrimeGrid Proth Prime Search
- 2005-05-19: Found n = 1298186, Curtis Cooper
- 2005-01-20: Found n = 1211488, Curtis Cooper
- 2004-12-02: Found n = 1258562, Curtis Cooper
- 2004-05-06: Found n = 966414, Curtis Cooper
- 2004-04-10: Found n = 627710, Curtis Cooper
- 2004-03-24: Found n = 367294, Curtis Cooper
- 2003-11-15: Found n = 302194, Payam Samidoost
- 2001-01-17: Found n = 216092, Nestor Sergio de Araujo Melo
- 1999-11-28: Found n = 148060, Sturle Sunde
- 1999-09-10: Found n = 154254, Peter Dodson
- 1995-08: Found n = 66872, Jeffrey Young
- 1995-08: Found n = 57488, Jeffrey Young
- 1983: Found n = 9522, Wilfrid Keller
- 1983: Found n = 5152, Wilfrid Keller
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3938, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3904, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3314, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 1640, Gordon V. Cormack, Hugh C. Williams
