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Difference between revisions of "Proth prime 2 7"
(all GF Divs+hist+5775996) |
(add Cullen & near Cullen primes) |
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| (6 intermediate revisions by 4 users not shown) | |||
| Line 2: | Line 2: | ||
|Pk=7 | |Pk=7 | ||
|Pb=2 | |Pb=2 | ||
| − | |PCount= | + | |PCount=43 |
|PNash=2144 | |PNash=2144 | ||
|PMaxn=9000000 | |PMaxn=9000000 | ||
| − | |PDate= | + | |PDate=2022-07-21 |
|PReserved= | |PReserved= | ||
|PMultiRes= | |PMultiRes= | ||
| Line 11: | Line 11: | ||
2;T:G | 2;T:G | ||
4;T:G | 4;T:G | ||
| − | 6;T:G | + | 6;T:G;C:{{NCu|+|2|6}}, {{NWi|MP|8|2}} |
| − | 14;T:G | + | 14;T:G;C:{{NCu|4|7}}, {{NCu|+|2|13}} |
20;T:GS | 20;T:GS | ||
26;T:G | 26;T:G | ||
| Line 18: | Line 18: | ||
52;T:G | 52;T:G | ||
92;T:G | 92;T:G | ||
| − | 120;T:G | + | 120;T:G;C:{{NWi|MP|8|40}} |
| − | 174;T:G | + | 174;T:G;C:{{NWi|MP|8|58}} |
| − | 180;T:G | + | 180;T:G;C:{{NWi|MP|8|60}} |
190;T:G | 190;T:G | ||
290;T:G | 290;T:G | ||
320;T:G | 320;T:G | ||
| − | 390;T:GS | + | 390;T:GS;C:{{NWi|MP|8|130}} |
| − | 432;T:G | + | 432;T:G;C:{{NWi|MP|8|144}} |
616;T:G | 616;T:G | ||
830;T:G | 830;T:G | ||
1804;T:G | 1804;T:G | ||
| − | 2256;T:G | + | 2256;T:G;C:{{NWi|MP|8|752}} |
6614;37379;T:G | 6614;37379;T:G | ||
13496;27240;T:G | 13496;27240;T:G | ||
15494;26187;T:G | 15494;26187;T:G | ||
16696;25162;T:G | 16696;25162;T:G | ||
| − | 22386;21739;T:G | + | 22386;21739;T:G;C:{{NWi|MP|8|7462}} |
| − | 54486;11363;T:G | + | 54486;11363;T:G;C:{{NWi|MP|8|18162}} |
88066;6342;T:G | 88066;6342;T:G | ||
95330;5701;T:G | 95330;5701;T:G | ||
| − | 207084;421;T:G | + | 207084;421;T:G;C:{{NWi|MP|8|69028}} |
283034;246;T:G | 283034;246;T:G | ||
| − | 561816;65142;T:G | + | 561816;65142;T:G;C:{{NWi|MP|8|187272}} |
| − | 804534;67632;T:G | + | 804534;67632;T:G;C:{{NWi|MP|8|268178}} |
| − | 811230;62795;T:G | + | 811230;62795;T:G;C:{{NWi|MP|8|270410}} |
| − | 1491852;73590;T:G | + | 1491852;73590;T:G;C:{{NWi|MP|8|497284}} |
| − | 2139912;80448;T:G | + | 2139912;80448;T:G;C:{{NWi|MP|8|713304}} |
| − | 2167800;80047;T:G | + | 2167800;80047;T:G;C:{{NWi|MP|8|722600}} |
2915954;85126;T:G | 2915954;85126;T:G | ||
| − | 3015762;83806;T:G | + | 3015762;83806;T:G;C:{{NWi|MP|8|1005254}} |
3511774;85758;T:G | 3511774;85758;T:G | ||
| − | 5775996;110070;T:G | + | 5775996;110070;T:G;C:{{NWi|MP|8|1925332}} |
18233956;131289;T:G | 18233956;131289;T:G | ||
| − | |PRemarks= | + | 20267500;134192;T:G |
| + | |PRemarks=The {{OEIS|l|A032353}}<br>See also {{NWi|MP|8|n}} | ||
}} | }} | ||
==History== | ==History== | ||
| − | {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | + | {{HistF|2022-07-21|20267500|Ryan Propper}} |
| − | {{HistC|2020-10-12|GF Divisors for {{Vn}} = 18233956| | + | {{HistC|2021-04-01|6000000-9000000|PrimeGrid Fermat Divisor Search|P#8778#149792}} |
| + | {{HistC|2020-10-12|[[GF_Divisor 7 18233956|GF Divisors]] for {{Vn}} = 18233956|Gary B. Gostin|559634}} | ||
{{HistF|2020-10-01|18233956|Ryan Propper|558592}} | {{HistF|2020-10-01|18233956|Ryan Propper|558592}} | ||
| + | {{HistC|?|6000000|PrimeGrid Proth Prime Search}} | ||
{{HistF|2012-11-10|5775996|Martyn Elvy,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/PPS-5775996.pdf Official announcement]) | {{HistF|2012-11-10|5775996|Martyn Elvy,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/PPS-5775996.pdf Official announcement]) | ||
{{HistF|2008-11-14|3511774|Curtis Cooper}} | {{HistF|2008-11-14|3511774|Curtis Cooper}} | ||
Latest revision as of 00:50, 27 September 2024
Current data
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Remarks : |
The sequence A032353 in OEIS See also Williams 7•8n+1 |
Notes
- ↑ Is GF Divisor of xGF(1,5,2) [+3]
- ↑ Is GF Divisor of xGF(2,6,5) [+4]
- ↑ Is GF Divisor of xGF(4,7,2) [+6], Near Cullen 7•26+1, Williams 7•82+1
- ↑ Is GF Divisor of F(12) [+6], Cullen 7•47+1, Near Cullen 14•213+1
- ↑ Is GF Divisor of xGF(19,3,2) [+8], Sophie Germain n=20
- ↑ Is GF Divisor of xGF(25,4,3) [+5]
- ↑ Is GF Divisor of GF(49,3) [+3]
- ↑ Is GF Divisor of xGF(51,7,5) [+5]
- ↑ Is GF Divisor of xGF(91,5,2) [+5]
- ↑ Is GF Divisor of F(117) [+4], Williams 7•840+1
- ↑ Is GF Divisor of GF(171,5) [+6], Williams 7•858+1
- ↑ Is GF Divisor of xGF(176,7,4) [+4], Williams 7•860+1
- ↑ Is GF Divisor of xGF(189,4,3) [+5]
- ↑ Is GF Divisor of F(284) [+4]
- ↑ Is GF Divisor of F(316) [+16]
- ↑ Is GF Divisor of GF(389,6) [+4], Sophie Germain n=390, Williams 7•8130+1
- ↑ Is GF Divisor of GF(431,6) [+4], Williams 7•8144+1
- ↑ Is GF Divisor of GF(610,7) [+5]
- ↑ Is GF Divisor of GF(828,5) [+5]
- ↑ Is GF Divisor of GF(1803,5) [+6]
- ↑ Is GF Divisor of xGF(2255,4,3) [+5], Williams 7•8752+1
- ↑ Is GF Divisor of xGF(6613,3,2) [+3]
- ↑ Is GF Divisor of xGF(13495,3,2) [+5]
- ↑ Is GF Divisor of xGF(15493,3,2) [+4]
- ↑ Is GF Divisor of GF(16695,5) [+4]
- ↑ Is GF Divisor of GF(22385,6) [+4], Williams 7•87462+1
- ↑ Is GF Divisor of GF(54485,3) [+7], Williams 7•818162+1
- ↑ Is GF Divisor of xGF(88065,3,2) [+6]
- ↑ Is GF Divisor of F(95328) [+25]
- ↑ Is GF Divisor of xGF(207083,4,3) [+4], Williams 7•869028+1
- ↑ Is GF Divisor of xGF(283033,6,5) [+4]
- ↑ Is GF Divisor of GF(561815,5) [+3], Williams 7•8187272+1
- ↑ Is GF Divisor of xGF(804531,5,4) [+4], Williams 7•8268178+1
- ↑ Is GF Divisor of GF(811228,5) [+5], Williams 7•8270410+1
- ↑ Is GF Divisor of GF(1491851,6) [+5], Williams 7•8497284+1
- ↑ Is GF Divisor of xGF(2139911,5,2) [+5], Williams 7•8713304+1
- ↑ Is GF Divisor of F(2167797) [+11], Williams 7•8722600+1
- ↑ Is GF Divisor of xGF(2915951,5,2) [+6]
- ↑ Is GF Divisor of xGF(3015759,5,2) [+3], Williams 7•81005254+1
- ↑ Is GF Divisor of GF(3511773,6) [+5]
- ↑ Is GF Divisor of xGF(5775995,5,4) [+4], Williams 7•81925332+1
- ↑ Is GF Divisor of F(18233954) [+9]
- ↑ Is GF Divisor of xGF(20267499,7,6) [+6]
History
- 2022-07-21: Found n = 20267500, Ryan Propper
- 2021-04-01: Checked n = 6000000 - 9000000, PrimeGrid Fermat Divisor Search
- 2020-10-12: GF Divisors for n = 18233956, Gary B. Gostin
- 2020-10-01: Found n = 18233956, Ryan Propper
- ?: Checked to n = 6000000, PrimeGrid Proth Prime Search
- 2012-11-10: Found n = 5775996, Martyn Elvy, PrimeGrid Proth Prime Search (Official announcement)
- 2008-11-14: Found n = 3511774, Curtis Cooper
- 2008-06-09: Found n = 2915954, Curtis Cooper
- 2008-01-30: Found n = 3015762, Curtis Cooper
- 2007-05-12: Found n = 2139912, Curtis Cooper
- 2007-04-15: Found n = 2167800, Curtis Cooper
- 2005-03-02: Found n = 1491852, Shoichiro Yamada, Satoshi Noda, Takahiro Nohara
- 2003-12-10: Found n = 804534, Kevin Odermatt
- 2003-06-15: Found n = 561816, Payam Samidoost
- 2002-12-18: Found n = 811230, Payam Samidoost
- 1998-10-01: Found n = 283034, Jeffrey Young
- 1998-07-08: Found n = 207084, Skip Key
- 1995-08: Found n = 95330, Jeffrey Young
- 1995-08: Found n = 88066, Jeffrey Young
- 1992-10-01: Found n = 16696, Harvey Dubner
- 1992: Found n = 22386, Harvey Dubner
- 1987: Found n = 54486, Jeffrey Young
- 1984: Found n = 15494, Wilfrid Keller
- 1984: Found n = 13496, Wilfrid Keller
- 1979: Checked n = 1500 - 8000, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 1804, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2256, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 6614, Gordon V. Cormack, Hugh C. Williams
