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Difference between revisions of "Proth prime 3 26"

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{{Gen Proth prime
+
{{Proth prime
|GPk=26
+
|Pk=26
|GPCount=50
+
|Pb=3
|GPNash=
+
|PCount=59
|GPMaxn=258000
+
|PNash=3752
|GPDate=2020-05-28
+
|PMaxn=1000000
|GPReserved=Paul Vanderveen
+
|PDate=2024-08-19
|GPMultiRes=
+
|PReserved=
|GPNlist=
+
|PMultiRes=
 +
|PNlist=
 
1
 
1
12
+
12;C:{{NWi|MP|27|4}}
15
+
15;T:T;C:{{NWi|MP|27|5}}
17
+
17;T:T
 
20
 
20
 
29
 
29
Line 25: Line 26:
 
296
 
296
 
481
 
481
501
+
501;C:{{NWi|MP|27|167}}
 
1069
 
1069
 
1151
 
1151
1224
+
1224;C:{{NWi|MP|27|408}}
1248
+
1248;C:{{NWi|MP|27|416}}
 
1657
 
1657
2103
+
2103;C:{{NWi|MP|27|701}}
2121;56456;C:Divides Phi(3^2121,2)
+
2121;56456;C:Divides Phi(3^2121,2), {{NWi|MP|27|707}}
 
2971
 
2971
 
3487
 
3487
5433
+
5433;C:{{NWi|MP|27|1811}}
 
8179
 
8179
 
8593
 
8593
9804
+
9804;C:{{NWi|MP|27|3268}}
10524
+
10524;C:{{NWi|MP|27|3508}}
 
13841
 
13841
 
15943;19962
 
15943;19962
21060
+
21060;C:{{NWi|MP|27|7020}}
22869
+
22869;C:{{NWi|MP|27|7623}}
 
36691
 
36691
 
38984
 
38984
49347
+
49347;C:{{NWi|MP|27|16449}}
 
56257
 
56257
 
67481
 
67481
 
68959
 
68959
 
77393
 
77393
107760;69431
+
107760;69431;C:{{NWi|MP|27|35920}}
 
133052;72114
 
133052;72114
 
153841;74348
 
153841;74348
165483;77691
+
165483;77691;C:{{NWi|MP|27|55161}}
 
182141;78549
 
182141;78549
232935
+
232935;C:{{NWi|MP|27|77465}}
 
250399
 
250399
261516
+
261516;C:{{NWi|MP|27|87172}}
|GPRemarks=See also {{NWi|MP|27|n}}
+
387984;C:{{NWi|MP|27|129328}}
|GPSieve=
+
404559;C:{{NWi|MP|27|134853}}
 +
652929;C:{{NWi|MP|27|217643}}
 +
727825
 +
1435875;131000;C:{{NWi|MP|27|478625}}
 +
1565545;131051
 +
1700041;131018
 +
1910099;131332
 +
|PRemarks=For additional {{Vn}} ≡ 0 mod 3 history, see {{NWi|MP|27|n}}.
 +
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
{{HistC|2020-05-28|258000|Paul Vanderveen}}
+
{{HistC|2024-08-19|'''Reservation''' dropped|Paul Vanderveen}}
 +
{{HistC|2021-03-07|900000-1000000|Paul Vanderveen}}
 +
{{HistC|2020-12-29|810000-900000|Paul Vanderveen}}
 +
{{HistF|2020-10-16|1910099|Paul Vanderveen}}
 +
{{HistC|2020-10-16|750000-810000|Paul Vanderveen}}
 +
{{HistC|2020-09-14|650000-750000|Paul Vanderveen}}
 +
{{HistF|2020-08-03|1565545|Paul Vanderveen}}
 +
{{HistC|2020-08-02|525000-650000|Paul Vanderveen}}
 +
{{HistF|2020-07-13|1700041|Paul Vanderveen|550507}}
 +
{{HistF|2020-07-05|1435875|Paul Vanderveen|549859}}
 +
{{HistC|2020-07-01|400000-525000|Paul Vanderveen}}
 +
{{HistC|2020-06-08|400000|Paul Vanderveen}}
 
{{HistR|2020-05-24|Paul Vanderveen}}
 
{{HistR|2020-05-24|Paul Vanderveen}}
{{HistC|2020-05-22|100000|Karsten Bonath}}
+
{{HistC|2020-05-22|1-100000|Karsten Bonath}}
 
{{HistF|2006-09-24|182141|Peter Benson}}
 
{{HistF|2006-09-24|182141|Peter Benson}}
 
{{HistF|2006-05-02|165483|Peter Benson}}
 
{{HistF|2006-05-02|165483|Peter Benson}}

Latest revision as of 05:31, 23 September 2024

Current data

k , b : 26 , 3
Count : 59
Nash : 3752
Max n : 1,000,000
Date : 2024-08-19
1, 12[1], 15[2], 17[3], 20, 29, 31, 32, 35, 37, 77, 95, 193, 203, 224, 296, 481, 501[4], 1069, 1151, 1224[5], 1248[6], 1657, 2103[7], 2121[8], 2971, 3487, 5433[9], 8179, 8593, 9804[10], 10524[11], 13841, 15943, 21060[12], 22869[13], 36691, 38984, 49347[14], 56257, 67481, 68959, 77393, 107760[15], 133052, 153841, 165483[16], 182141, 232935[17], 250399, 261516[18], 387984[19], 404559[20], 652929[21], 727825, 1435875[22], 1565545, 1700041, 1910099
Remarks :
For additional n ≡ 0 mod 3 history, see Williams 26•27n+1.

Notes

History