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Difference between revisions of "Proth prime 6 35"

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(Fix weight; 4874 is the weight of 6*35^n+1)
(add twins & separate from Williams sequence)
 
(3 intermediate revisions by 2 users not shown)
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{{Gen Proth prime
+
{{Proth prime
|GPk=35
+
|Pk=35
|GPCount=31
+
|Pb=6
|GPNash=4196
+
|PCount=31
|GPMaxn=100000
+
|PNash=4196
|GPDate=2020-11-15
+
|PMaxn=100000
|GPReserved=
+
|PDate=2020-11-15
|GPMultiRes=
+
|PReserved=
|GPNlist=
+
|PMultiRes=
 +
|PNlist=
 
1
 
1
3
+
3;T:T
4
+
4;C:{{NWi|MP|36|2}}
 
13
 
13
18
+
18;T:T;C:{{NWi|MP|36|9}}
 
19
 
19
22
+
22;T:T;C:{{NWi|MP|36|11}}
 
23
 
23
 
25
 
25
42
+
42;C:{{NWi|MP|36|21}}
 
63
 
63
 
65
 
65
100
+
100;C:{{NWi|MP|36|50}}
 
113
 
113
 
171
 
171
192
+
192;C:{{NWi|MP|36|96}}
 
195
 
195
274
+
274;C:{{NWi|MP|36|137}}
420
+
420;C:{{NWi|MP|36|210}}
 
443
 
443
690
+
690;C:{{NWi|MP|36|345}}
2564
+
2564;C:{{NWi|MP|36|1282}}
 
3617
 
3617
 
5193
 
5193
Line 39: Line 40:
 
51707
 
51707
 
95875;74743
 
95875;74743
|GPRemarks=See also {{NWi|MP|36|n}}<br>
+
|PRemarks=For additional even {{Vn}} history, see {{NWi|MP|36|n}}.
|GPSieve=
+
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
{{HistC|2020-11-15|100000|Karsten Bonath}}
+
{{HistC|2020-11-15|1-100000|Karsten Bonath}}, double-check {{Rn|1|20000}} '''only even {{Vn}}'''
 
{{HistF|2005-06-09|95875|Peter Benson}}
 
{{HistF|2005-06-09|95875|Peter Benson}}

Latest revision as of 07:56, 23 September 2024

Current data

k , b : 35 , 6
Count : 31
Nash : 4196
Max n : 100,000
Date : 2020-11-15
1, 3[1], 4[2], 13, 18[3], 19, 22[4], 23, 25, 42[5], 63, 65, 100[6], 113, 171, 192[7], 195, 274[8], 420[9], 443, 690[10], 2564[11], 3617, 5193, 9841, 14185, 23183, 23613, 24845, 51707, 95875
Remarks :
For additional even n history, see Williams 35•36n+1.

Notes

History

  • 2020-11-15: Checked n = 1 - 100000, Karsten Bonath, double-check n = 1 - 20000 only even n
  • 2005-06-09: Found n = 95875, Peter Benson