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Difference between revisions of "Proth prime 3 2"
(check to n=1M) |
(add near Cullen primes) |
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| Line 4: | Line 4: | ||
|PCount=48 | |PCount=48 | ||
|PNash=2729 | |PNash=2729 | ||
| − | |PMaxn= | + | |PMaxn=2000000 |
| − | |PDate=2024-09- | + | |PDate=2024-09-14 |
| − | |PReserved= | + | |PReserved= |
|PMultiRes= | |PMultiRes= | ||
|PNlist= | |PNlist= | ||
| − | 1;C:Divides Phi(3^1,2) | + | 1;T:T;C:Divides Phi(3^1,2), {{NCu|+|3|1}} |
| − | 2;C:{{NCu|3|2}} | + | 2;T:T;C:{{NCu|3|2}} |
4;C:{{NCu|9|2}} | 4;C:{{NCu|9|2}} | ||
5;C:Divides Phi(3^5,2) | 5;C:Divides Phi(3^5,2) | ||
| − | 6;C:{{NCu|27|2}} | + | 6;C:{{NCu|27|2}}, {{NCu|+|3|5}} |
9;C:Divides Phi(3^7,2) | 9;C:Divides Phi(3^7,2) | ||
16 | 16 | ||
| Line 57: | Line 57: | ||
10852677;134762;C:Divides Phi(3^10852674,2) | 10852677;134762;C:Divides Phi(3^10852674,2) | ||
11879700;138235 | 11879700;138235 | ||
| − | |PRemarks=The {{OEIS|l|A003306}} | + | |PRemarks=The {{OEIS|l|A003306}}<br>See also {{NWi|MP|3|n}} |
|PSieve= | |PSieve= | ||
}} | }} | ||
==History== | ==History== | ||
| + | {{HistC|2024-09-14|1000000-2000000|Gary Barnes|1053681}}, released, results included | ||
{{HistC|2024-09-02|1-1000000|Gary Barnes|1052930}}, double-check {{Rn|1|50000}}, results included | {{HistC|2024-09-02|1-1000000|Gary Barnes|1052930}}, double-check {{Rn|1|50000}}, results included | ||
{{HistR|2024-08-30|Gary Barnes|1052678}} for {{Rn|1|1000000}} | {{HistR|2024-08-30|Gary Barnes|1052678}} for {{Rn|1|1000000}} | ||
Latest revision as of 20:52, 27 September 2024
Current data
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|
Remarks : |
The sequence A003306 in OEIS See also Williams 2•3n+1 |
Notes
- ↑ Twin n=1, Divides Phi(3^1,2), Near Cullen 2•31+1
- ↑ Twin n=2, Cullen 2•32+1
- ↑ Cullen 2•92+1
- ↑ Divides Phi(3^5,2)
- ↑ Cullen 2•272+1, Near Cullen 6•35+1
- ↑ Divides Phi(3^7,2)
- ↑ Divides Phi(3^15,2)
- ↑ Divides Phi(3^56,2), Cullen 54•354+1
- ↑ Divides Phi(3^65,2)
- ↑ Divides Phi(3^896,2)
- ↑ Divides Phi(3^4217,2)
- ↑ Divides Phi(3^6223,2)
- ↑ Divides Phi(3^152528,2)
- ↑ Divides Phi(3^3648964,2)
- ↑ Divides Phi(3^5570081,2)
- ↑ Divides Phi(3^10852674,2)
History
- 2024-09-14: Checked n = 1000000 - 2000000, Gary Barnes, released, results included
- 2024-09-02: Checked n = 1 - 1000000, Gary Barnes, double-check n = 1 - 50000, results included
- 2024-08-30: Reserved by Gary Barnes for n = 1 - 1000000
- 2024-08-30: Checked n = 1 - 50000, Karsten Bonath
- 2024-06-22: Found n = 11879700, Ryan Propper
- 2023-01-08: Found n = 10852677, Ryan Propper
- 2022-12-20: Found n = 6236772, Ryan Propper
- 2020-02-14: Found n = 5570081, Ryan Propper
- 2020-02-09: Found n = 3648969, Paul Vanderveen, Ryan Propper
- 2020-02-09: Found n = 3123036, Paul Vanderveen, Ryan Propper
- 2020-02-08: Found n = 1346542, Paul Vanderveen, Ryan Propper
- 2020-02-08: Found n = 1277862, Paul Vanderveen, Ryan Propper
- 2010-02-22: Found n = 1175232, David Broadhurst
- 2010-02-13: Found n = 1086112, David Broadhurst
- 2010-02-13: Found n = 1074726, David Broadhurst
- 2009-08-31: Found n = 529680, David Broadhurst
- 2004-01-15: Found n = 191814, Peter Benson
- 2003-05-07: Found n = 165896, Wilfrid Keller, Ingo Buechel
- 2000-05-13: Found n = 152529, Wilfrid Keller, Ingo Buechel
- 1999-05-28: Found n = 105106, Wilfrid Keller, Ingo Buechel
- 1999-03-03: Found n = 82780, Wilfrid Keller, Ingo Buechel
- 1999-01-19: Found n = 64822, Wilfrid Keller, Ingo Buechel
- 1998-10-29: Found n = 43956, Yves Gallot
- 1996-12-01: Found n = 17720, Chris Caldwell
- 1994: Found n = 13782, Chris Caldwell
- 1994: Found n = 12096, Chris Caldwell
- 1992-10: Found n = 7842, Chris Caldwell
- 1992: Found n = 6225, Chris Caldwell
- 1992: Found n = 5480, Chris Caldwell
- 1992: Found n = 4217, Chris Caldwell
