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Difference between revisions of "Proth prime 3 8"

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(add near Cullen prime)
 
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{{Gen Proth prime
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{{Proth prime
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|GPk=8
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|Pk=8
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|GPCount=23
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|Pb=3
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|GPNash=2226
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|PCount=23
−
|GPMaxn=1250000
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|PNash=2226
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|GPDate=2020-08-08
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|PMaxn=1250000
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|GPReserved=
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|PDate=2020-08-08
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|GPMultiRes=
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|PReserved=
−
|GPNlist=
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|PMultiRes=
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2;T:T
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|PNlist=
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7
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2;T:T;C:{{NWi|MP|9|1}}
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8
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7;C:{{NCu|+|3|7}}
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10;T:T
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8;C:{{NCu|3|8}}, {{NWi|MP|9|4}}
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22
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10;T:T;C:{{NWi|MP|9|5}}
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52
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22;C:{{NWi|MP|9|11}}
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58
+
52;C:{{NWi|MP|9|26}}
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76
+
58;C:{{NWi|MP|9|29}}
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130
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76;C:{{NWi|MP|9|38}}
 +
130;C:{{NWi|MP|9|65}}
 
143
 
143
 
331
 
331
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332
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332;C:{{NWi|MP|9|166}}
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980
+
980;C:{{NWi|MP|9|490}}
−
1282
+
1282;C:{{NWi|MP|9|641}}
 
1655
 
1655
 
4031
 
4031
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4600
+
4600;C:{{NWi|MP|9|2300}}
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18880;18519
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18880;18519;C:{{NWi|MP|9|9440}}
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89482
+
89482;C:{{NWi|MP|9|44741}}
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130592;71677
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130592;71677;C:{{NWi|MP|9|65296}}
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323860
+
323860;C:{{NWi|MP|9|161930}}
 
872171
 
872171
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1172480;130901
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1172480;130901;C:{{NWi|MP|9|586240}}
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|GPRemarks=See also {{NWi|MP|9|n}}
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|PRemarks=The {{OEIS|l|A005538}}<br>For additional even {{Vn}} history, see {{NWi|MP|9|n}}
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|GPSieve=
+
 
 +
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
−
{{HistC|2020-08-08|1250000|Paul Vanderveen}}
+
{{HistC|2020-08-08|1200000-1250000|Paul Vanderveen}}
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{{HistC|2020-07-08|1200000|Paul Vanderveen}}
+
{{HistC|2020-07-08|850000-1200000|Paul Vanderveen}}
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{{HistC|2020-06-08|850000|Paul Vanderveen}}
+
{{HistF|2020-06-12|872171|Paul Vanderveen}}
−
{{HistC|2020-05-25|50000|Karsten Bonath}}
+
{{HistC|2020-06-08|800000-850000|Paul Vanderveen}}
 +
{{HistC|2020-05-29|700000-800000|Paul Vanderveen}}
 +
{{HistC|2020-05-25|1-50000|Karsten Bonath}}
 
{{HistF|2020-05-17|1172480|Paul Vanderveen}}
 
{{HistF|2020-05-17|1172480|Paul Vanderveen}}
 +
{{HistC|2020-05-02|500000-700000|Paul Vanderveen}}
 +
{{HistC|2020-03-01|350000-500000|Paul Vanderveen}}
 +
{{HistC|2020-02-17|200000-350000|Paul Vanderveen}}
 +
{{HistC|2014-03-16|20000-200000|Robert Price}}
 
{{HistF|2004-09-21|130592|Peter Benson}}
 
{{HistF|2004-09-21|130592|Peter Benson}}
 +
{{HistC|1999-12-11?|20000?|Douglas Burke}}
 
{{HistF|1998-11-08|18880|Chris Caldwell}}
 
{{HistF|1998-11-08|18880|Chris Caldwell}}

Latest revision as of 21:06, 27 September 2024

Current data

k , b : 8 , 3
Count : 23
Nash : 2226
Max n : 1,250,000
Date : 2020-08-08
2[1], 7[2], 8[3], 10[4], 22[5], 52[6], 58[7], 76[8], 130[9], 143, 331, 332[10], 980[11], 1282[12], 1655, 4031, 4600[13], 18880[14], 89482[15], 130592[16], 323860[17], 872171, 1172480[18]
Remarks :
The sequence A005538 in OEIS
For additional even n history, see Williams 8•9n+1

Notes

  1. ↑ Twin n=2, Williams 8•91+1
  2. ↑ Near Cullen 8•37+1
  3. ↑ Cullen 8•38+1, Williams 8•94+1
  4. ↑ Twin n=10, Williams 8•95+1
  5. ↑ Williams 8•911+1
  6. ↑ Williams 8•926+1
  7. ↑ Williams 8•929+1
  8. ↑ Williams 8•938+1
  9. ↑ Williams 8•965+1
  10. ↑ Williams 8•9166+1
  11. ↑ Williams 8•9490+1
  12. ↑ Williams 8•9641+1
  13. ↑ Williams 8•92300+1
  14. ↑ Williams 8•99440+1
  15. ↑ Williams 8•944741+1
  16. ↑ Williams 8•965296+1
  17. ↑ Williams 8•9161930+1
  18. ↑ Williams 8•9586240+1

History

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