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Difference between revisions of "Proth prime 2 31"
m (Karbon moved page Proth prime 31 to Proth prime 2 31 without leaving a redirect: renamed) |
(add Williams prime remark & links to primes) |
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{{Proth prime | {{Proth prime | ||
|Pk=31 | |Pk=31 | ||
| + | |Pb=2 | ||
|PCount=14 | |PCount=14 | ||
|PNash=839 | |PNash=839 | ||
| Line 8: | Line 9: | ||
|PMultiRes= | |PMultiRes= | ||
|PNlist= | |PNlist= | ||
| − | 8 | + | 8;T:G |
| − | 60 | + | 60;C:{{NWi|MP|32|12}} |
| − | + | 68;T:G | |
| − | + | 140;T:G;C:{{NWi|MP|32|28}} | |
| − | + | 216;T:G | |
416 | 416 | ||
| − | 1808 | + | 1808;T:G |
| − | 1944 | + | 1944;T:G |
9096;30077 | 9096;30077 | ||
76596;7879 | 76596;7879 | ||
93168;5800 | 93168;5800 | ||
| − | 4673544;130032;C: | + | 4673544;130032;T:G |
| − | + | 5560820;130295;T:G;C:{{NWi|MP|32|1112164}} | |
| − | + | 8348000;131593;C:{{NWi|MP|32|1669600}} | |
| − | |PRemarks= | + | |PRemarks=The {{OEIS|l|A032365}}<br>See also {{NWi|MP|32|n}} |
}} | }} | ||
==History== | ==History== | ||
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}} | ||
| − | {{HistF|2021-01-19|8348000|Igor Karpenko,PrimeGrid Fermat Divisor Search|P#9552}} | + | {{HistF|2021-01-19|8348000|Igor Karpenko,PrimeGrid Fermat Divisor Search|P#9552}} ([https://www.primegrid.com/download/DIV-8348000.pdf Official announcement]) |
{{HistF|2020-01-28|5560820|James Scott Brown,PrimeGrid Fermat Divisor Search|P#8974#136174}} | {{HistF|2020-01-28|5560820|James Scott Brown,PrimeGrid Fermat Divisor Search|P#8974#136174}} | ||
{{HistF|2019-10-14|4673544|Robert Heindl,PrimeGrid Fermat Divisor Search|P#8831#134220}} | {{HistF|2019-10-14|4673544|Robert Heindl,PrimeGrid Fermat Divisor Search|P#8831#134220}} | ||
| − | {{HistC|2018| | + | {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}} |
| + | {{HistC|2018|3322000|PrimeGrid Proth Prime Search}} | ||
{{HistF|1995-08|93168|Jeffrey Young}} | {{HistF|1995-08|93168|Jeffrey Young}} | ||
{{HistF|1995-08|76596|Jeffrey Young}} | {{HistF|1995-08|76596|Jeffrey Young}} | ||
{{HistF|1983|9096|Wilfrid Keller}} | {{HistF|1983|9096|Wilfrid Keller}} | ||
Latest revision as of 18:07, 7 September 2024
Current data
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Remarks : |
The sequence A032365 in OEIS See also Williams 31•32n+1 |
Notes
- ↑ Is GF Divisor of xGF(7,8,5)
- ↑ Williams 31•3212+1
- ↑ Is GF Divisor of xGF(67,11,2)
- ↑ Is GF Divisor of GF(139,3), Williams 31•3228+1
- ↑ Is GF Divisor of xGF(215,7,5) [+1]
- ↑ Is GF Divisor of xGF(1806,11,6)
- ↑ Is GF Divisor of xGF(1943,10,9)
- ↑ Is GF Divisor of GF(4673541,7)
- ↑ Is GF Divisor of GF(5560819,6), Williams 31•321112164+1
- ↑ Williams 31•321669600+1
History
- 2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
- 2021-01-19: Found n = 8348000, Igor Karpenko, PrimeGrid Fermat Divisor Search (Official announcement)
- 2020-01-28: Found n = 5560820, James Scott Brown, PrimeGrid Fermat Divisor Search
- 2019-10-14: Found n = 4673544, Robert Heindl, PrimeGrid Fermat Divisor Search
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2018: Checked to n = 3322000, PrimeGrid Proth Prime Search
- 1995-08: Found n = 93168, Jeffrey Young
- 1995-08: Found n = 76596, Jeffrey Young
- 1983: Found n = 9096, Wilfrid Keller
