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Difference between revisions of "Cullen prime 4"
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{{Cullen prime | {{Cullen prime | ||
|CuBase=4 | |CuBase=4 | ||
| − | |CuMaxn= | + | |CuMaxn=2000000 |
| − | |CuDate= | + | |CuDate=2023-07-14 |
|CuReserved= | |CuReserved= | ||
|CuNlist= | |CuNlist= | ||
| − | 1;C:{{NPr|2}} | + | 1;T:T;C:{{NPr|2}}, {{NCu|+|1}} |
| − | 3;C:{{NPr|3|6}} | + | 3;T:T;C:{{NPr|3|6}}, {{NCu|+|5}} |
| − | 7;C:{{NPr|7|14}} | + | 7;C:{{NPr|7|14}}, {{NCu|+|13}} |
| − | 33;C:{{NPr|33|66}} | + | 33;C:{{NPr|33|66}}, {{NCu|+|65}} |
| − | 67;C:{{NPr|67|134}} | + | 67;C:{{NPr|67|134}}, {{NCu|+|133}} |
| − | 223;C:{{NPr|223|446}} | + | 223;C:{{NPr|223|446}}, {{NCu|+|445}} |
| − | 663;C:{{NPr|663|1326}} | + | 663;C:{{NPr|663|1326}}, {{NCu|+|1325}} |
| − | 912;C:{{NPr|57|1828}} | + | 912;C:{{NPr|57|1828}}, {{NCu|+|1823}} |
| − | 1383;C:{{NPr|1383|2766}} | + | 1383;C:{{NPr|1383|2766}}, {{NCu|+|2765}} |
| − | 3777;33032;C:{{NPr|3777|7554}} | + | 3777;33032;C:{{NPr|3777|7554}}, {{NCu|+|7553}} |
| − | 3972;32248;C:{{NPr|993|7946}} | + | 3972;32248;C:{{NPr|993|7946}}, {{NCu|+|7943}} |
| − | 10669;C:{{NPr|10669|21338}} | + | 10669;C:{{NPr|10669|21338}}, {{NCu|+|21337}} |
| − | 48375;5614;C:{{NPr|48375|96750}} | + | 48375;5614;C:{{NPr|48375|96750}}, {{NCu|+|96749}} |
| − | |CuRemarks=The {{OEIS|l|A007646}} | + | 1740349;136235;C:{{NPr|1740349|3480698}}, {{NCu|+|3480697}} |
| + | |CuRemarks=The {{OEIS|l|A007646}}<br>See additional history at [http://www.loeh.name/guenter/gc/ Generalized Cullen primes] & [http://prothsearch.com/GC-Discoverers.html Discoverers of Generalized Cullen primes].<br>Also a search for [https://www.rieselprime.de/ziki/Cullen_prime_P_2 Near Cullen ({{Vn}}+1)*2^{{Vn}}+1] odd {{Vn}}. | ||
}} | }} | ||
==History== | ==History== | ||
| − | {{HistC|2023-04-23|2-100000|Mark Rodenkirch}},double- | + | {{HistC|2023-07-14|500000-2000000|Ryan Propper|858785}}, released |
| − | {{HistC| | + | {{HistF|2023-07-05|1740349|Ryan Propper|858708}} |
| − | {{HistF|1999-10 | + | {{HistR|2023-07-04|Ryan Propper|858168}} for {{Rn|500000|2000000}} |
| + | {{HistC|2023-05-28|100000-500000|Mark Rodenkirch|856012}}, double-check {{Rn|100000|250000}}, released | ||
| + | {{HistR|2023-04-28|Mark Rodenkirch|851725}} to {{Rn|500000|500000}} | ||
| + | {{HistC|2023-04-23|2-100000|Mark Rodenkirch}}, double-check | ||
| + | {{HistC|2011|108770-250000|Steven Harvey}} | ||
| + | {{HistC|2002|10046-108769|Günter Löh}} | ||
| + | {{HistF|2000-12|10669|Günter Löh}} | ||
| + | {{HistC|2000|6107-10046|Wilfrid Keller}} | ||
| + | {{HistF|1999-07-10|48375|Kazuyoshi Asao}} | ||
| + | {{HistC|1989|1-6107|Harvey Dubner}} | ||
{{HistF|1989|3972|Harvey Dubner}} | {{HistF|1989|3972|Harvey Dubner}} | ||
{{HistF|1989|3777|Harvey Dubner}} | {{HistF|1989|3777|Harvey Dubner}} | ||
Revision as of 15:16, 16 October 2024
Current data
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Remarks : |
The sequence A007646 in OEIS See additional history at Generalized Cullen primes & Discoverers of Generalized Cullen primes. Also a search for Near Cullen (n+1)*2^n+1 odd n. |
Notes
- ↑ Twin n=1, Proth 22+1, Near Cullen 2•21+1
- ↑ Twin n=3, Proth 3•26+1, Near Cullen 6•25+1
- ↑ Proth 7•214+1, Near Cullen 14•213+1
- ↑ Proth 33•266+1, Near Cullen 66•265+1
- ↑ Proth 67•2134+1, Near Cullen 134•2133+1
- ↑ Proth 223•2446+1, Near Cullen 446•2445+1
- ↑ Proth 663•21326+1, Near Cullen 1326•21325+1
- ↑ Proth 57•21828+1, Near Cullen 1824•21823+1
- ↑ Proth 1383•22766+1, Near Cullen 2766•22765+1
- ↑ Proth 3777•27554+1, Near Cullen 7554•27553+1
- ↑ Proth 993•27946+1, Near Cullen 7944•27943+1
- ↑ Proth 10669•221338+1, Near Cullen 21338•221337+1
- ↑ Proth 48375•296750+1, Near Cullen 96750•296749+1
- ↑ Proth 1740349•23480698+1, Near Cullen 3480698•23480697+1
History
- 2023-07-14: Checked n = 500000 - 2000000, Ryan Propper, released
- 2023-07-05: Found n = 1740349, Ryan Propper
- 2023-07-04: Reserved by Ryan Propper for n = 500000 - 2000000
- 2023-05-28: Checked n = 100000 - 500000, Mark Rodenkirch, double-check n = 100000 - 250000, released
- 2023-04-28: Reserved by Mark Rodenkirch to n = 500000
- 2023-04-23: Checked n = 2 - 100000, Mark Rodenkirch, double-check
- 2011: Checked n = 108770 - 250000, Steven Harvey
- 2002: Checked n = 10046 - 108769, Günter Löh
- 2000-12: Found n = 10669, Günter Löh
- 2000: Checked n = 6107 - 10046, Wilfrid Keller
- 1999-07-10: Found n = 48375, Kazuyoshi Asao
- 1989: Checked n = 1 - 6107, Harvey Dubner
- 1989: Found n = 3972, Harvey Dubner
- 1989: Found n = 3777, Harvey Dubner
