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Difference between revisions of "Proth prime 2 19"

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{{Proth prime
 
{{Proth prime
 
|Pk=19
 
|Pk=19
 +
|Pb=2
 
|PCount=21
 
|PCount=21
 
|PNash=828
 
|PNash=828
−
|PMaxn=
+
|PMaxn=9000000
−
|PDate=
+
|PDate=2021-04-01
 
|PReserved=
 
|PReserved=
−
|PMultiRes=20
+
|PMultiRes=
 
|PNlist=
 
|PNlist=
−
6;C:Divides {{DGF|5|8|5}}, {{DGF|5|9|5}}, {{DGF|4|9|8}}, {{DGF|5|11|4}}
+
6;T:G
−
10;C:Divides {{DGF|9|5}}
+
10;T:G
−
46;C:Divides {{DGF|45|8|5}}, {{DGF|45|11|2}}
+
46;T:G
−
366;C:Divides {{DGF|365|5|4}}, {{DGF|365|8|7}}, {{DGF|360|10|7}}
+
366;T:G
−
1246;C:Divides {{DGF|1243|7}}, {{DGF|1244|6|5}}
+
1246;T:G
−
2038;C:Divides {{DGF|2037|5|4}}, {{DGF|2035|11|4}}, {{DGF|2037|11|5}}
+
2038;T:G
−
4386;42098;C:Divides {{DGF|4382|11|10}}
+
4386;42098;T:G
−
4438;41634;C:Divides {{DGF|4437|6}}
+
4438;41634;T:G
−
6838;35072;C:Divides {{DGF|6835}}, {{DGF|6837|5}}, {{DGF|6837|10}}, {{DGF|6837|5|2}}, {{DGF|6837|5|4}}, {{DGF|6837|8|5}}
+
6838;35072;T:G
−
7498;33161;C:Divides {{DGF|7496|11}}, {{DGF|7497|5|2}}
+
7498;33161;T:G
−
7998;32201;C:Divides {{DGF|7997|5|4}}, {{DGF|7997|8|7}}, {{DGF|7992|10|7}}
+
7998;32201;T:G
−
9450;29956;C:Divides {{DGF|9448}}, {{DGF|9449|7}}, {{DGF|9449|7|2}}, {{DGF|9449|7|4}}, {{DGF|9449|8|7}}
+
9450;29956;T:G
−
11890;27904;C:Divides {{DGF|11889|3|2}}, {{DGF|11888|8|7}}, {{DGF|11889|12|7}}
+
11890;27904;T:G
−
17034;24476;C:Divides {{DGF|17033|5}}, {{DGF|17032|7|6}}
+
17034;24476;T:G
−
23290;21459;C:Divides {{DGF|23288}}, {{DGF|23287|7}}, {{DGF|23288|7|2}}, {{DGF|23285|7|4}}, {{DGF|23288|8|7}}
+
23290;21459;T:G
−
73338;8090;C:Divides {{DGF|73335|5|3}}
+
73338;8090;T:G
−
149146;1304;C:Divides {{DGF|149145|5}}, {{DGF|149145|12}}, {{DGF|149144|12|5}}
+
149146;1304;T:G
−
323638;60832;C:Divides {{DGF|323637|8|5}}
+
323638;60832;T:G
−
853546;73417;C:Divides {{DGF|853545|4|3}}
+
853546;73417;T:G
−
2206266;78496;C:Divides {{DGF|2206264|5|3}}
+
2206266;78496;T:G
−
6833086;131356;C:Divides {{DGF|6833083|5|3}}
+
6833086;131356;T:G
−
|PRemarks=
+
|PRemarks=The {{OEIS|l|A032359}}
 
}}
 
}}
−
 
 
==History==
 
==History==
−
{{HistF|2020-10-25|6833086|Jiri Jaros, PrimeGrid}}
+
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 +
{{HistF|2020-10-25|6833086|Jiri Jaros,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-6833086.pdf Official announcement])
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 +
{{HistF|2006-09-15|2206266|Joseph Bohanon}}
 +
{{HistF|2005-02-11|853546|Joseph Bohanon}}
 +
{{HistF|2002-11-25|323638|Yves Gallot}}
 +
{{HistF|1998-05-07|149146|Yves Gallot}}
 +
{{HistF|1995-08|73338|Jeffrey Young}}
 +
{{HistF|1992|23290|Harvey Dubner}}
 +
{{HistF|1992|17034|Harvey Dubner}}
 +
{{HistF|1983|7498|Wilfrid Keller}}
 +
{{HistF|1983|4438|Wilfrid Keller}}
 +
{{HistF|1983|4386|Wilfrid Keller}}
 +
{{HistF|1980|11890|Wilfrid Keller}}
 +
{{HistF|1980|9450|Wilfrid Keller}}
 +
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|2038|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1978|6838|Wilfrid Keller}}

Latest revision as of 13:31, 26 May 2024

Current data

k , b : 19 , 2
Type : Low
Count : 21
Nash : 828
Max n : 9,000,000
Date : 2021-04-01
6[1], 10[2], 46[3], 366[4], 1246[5], 2038[6], 4386[7], 4438[8], 6838[9], 7498[10], 7998[11], 9450[12], 11890[13], 17034[14], 23290[15], 73338[16], 149146[17], 323638[18], 853546[19], 2206266[20], 6833086[21]
Remarks :
The sequence A032359 in OEIS

Notes

  1. ↑ Is GF Divisor of xGF(5,8,5) [+3]
  2. ↑ Is GF Divisor of GF(9,5)
  3. ↑ Is GF Divisor of xGF(45,8,5) [+1]
  4. ↑ Is GF Divisor of xGF(365,5,4) [+2]
  5. ↑ Is GF Divisor of xGF(1244,6,5) [+1]
  6. ↑ Is GF Divisor of xGF(2037,5,4) [+2]
  7. ↑ Is GF Divisor of xGF(4382,11,10)
  8. ↑ Is GF Divisor of GF(4437,6)
  9. ↑ Is GF Divisor of F(6835) [+5]
  10. ↑ Is GF Divisor of xGF(7497,5,2) [+1]
  11. ↑ Is GF Divisor of xGF(7997,5,4) [+2]
  12. ↑ Is GF Divisor of F(9448) [+4]
  13. ↑ Is GF Divisor of xGF(11889,3,2) [+2]
  14. ↑ Is GF Divisor of GF(17033,5) [+1]
  15. ↑ Is GF Divisor of F(23288) [+4]
  16. ↑ Is GF Divisor of xGF(73335,5,3)
  17. ↑ Is GF Divisor of GF(149145,5) [+2]
  18. ↑ Is GF Divisor of xGF(323637,8,5)
  19. ↑ Is GF Divisor of xGF(853545,4,3)
  20. ↑ Is GF Divisor of xGF(2206264,5,3)
  21. ↑ Is GF Divisor of xGF(6833083,5,3)

History

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