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Difference between revisions of "Proth prime 2 27"

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(add near Cullen primes)
 
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|PCount=49
 
|PCount=49
 
|PNash=2142
 
|PNash=2142
−
|PMaxn=1520000
+
|PMaxn=10000000
−
|PDate=2021-02-06
+
|PDate=2024-05-23
 
|PReserved=
 
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
 
|PNlist=
 
|PNlist=
 
2;T:T
 
2;T:T
−
4;T:T
+
4;T:GT
 
7
 
7
 
16
 
16
−
19
+
19;T:G
−
20
+
20;T:G
−
22
+
22;T:G
−
26
+
26;T:G;C:{{NCu|+|2|26}}
−
40
+
40;T:G
−
44
+
44;T:G
−
46
+
46;T:G
−
47
+
47;T:G
−
50
+
50;T:G
−
56
+
56;T:G;C:{{NCu|-|2|55}}
−
59
+
59;T:G
−
64
+
64;T:G
 
92
 
92
 
175
 
175
−
215
+
215;T:G
−
275
+
275;T:G
−
407
+
407;T:G
−
455
+
455;T:G
−
1076
+
1076;T:G
−
1090
+
1090;T:G
−
3080
+
3080;T:G
 
3322;58783
 
3322;58783
−
6419;37496
+
6419;37496;T:G
−
7639;32868
+
7639;32868;T:G
 
19360;23105
 
19360;23105
−
30500;18270
+
30500;18270;T:G
−
38770;16532
+
38770;16532;T:G
−
44164;14297
+
44164;14297;T:G
−
50696;11905
+
50696;11905;T:G
−
114760;2844
+
114760;2844;T:G
−
117784;2777
+
117784;2777;T:G
−
153847;1234
+
153847;1234;T:G
−
160874;1088
+
160874;1088;T:G
−
178739;668
+
178739;668;T:G
−
379880;67696
+
379880;67696;T:G
−
405514;62886
+
405514;62886;T:G
−
672007;75472
+
672007;75472;T:G
−
974752;75124
+
974752;75124;T:G
−
1164664;76226
+
1164664;76226;T:G
−
1476347;76095
+
1476347;76095;T:G
−
2218064;91240
+
2218064;91240;T:G
−
5213635;119539
+
5213635;119539;T:G
−
7046834;125683
+
7046834;125683;T:G
−
7963247;131583
+
7963247;131583;T:G
 
12184319;131760;T:G
 
12184319;131760;T:G
−
|PRemarks=
+
|PRemarks=The {{OEIS|l|A032363}}
 +
[[PrimeGrid Proth Prime Search]] is double-checking {{Vn}}>5000000 even {{Vn}}.
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistR|2024-05-23|PrimeGrid Proth Prime Search|P#10194#172168}}, double-check of 27121 search even {{Vn}}-values only
 +
{{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}, double-check of 27121 search
 +
{{HistC|2022-03-21|10000000|PrimeGrid 27121 Prime Search|P#9850#154888}}
 +
{{HistC|2021-04-01|3640000-9000000|PrimeGrid Fermat Divisor Search|P#8778#149792}}, odd {{Vn}}-values only
 
{{HistF|2021-02-06|12184319|Ryan Propper}}
 
{{HistF|2021-02-06|12184319|Ryan Propper}}
 +
{{HistF|2021-01-16|7963247|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-F7963247.pdf Official announcement])
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 +
{{HistF|2018-10-16|7046834|Andrew M. Farrow,PrimeGrid 27121 Prime Search}} ([http://www.primegrid.com/download/27121-7046834.pdf Official announcement])
 +
{{HistF|2015-03-12|5213635|Hiroyuki Okazaki,PrimeGrid 27121 Prime Search}} ([http://www.primegrid.com/download/27121-5213635.pdf Official announcement])
 +
{{HistF|2009-12-23|2218064|Honza Cholt,PrimeGrid Proth Prime Search}}
 +
{{HistF|2005-11-21|1164664|Curtis Cooper}}
 +
{{HistF|2005-11-04|1476347|Curtis Cooper}}
 +
{{HistF|2005-08-29|672007|Curtis Cooper}}
 +
{{HistF|2005-07-20|974752|Mark Rodenkirch}}
 +
{{HistF|2002-12-28|405514|Payam Samidoost}}
 +
{{HistF|2003-12-15|379880|Reto Keiser}}
 +
{{HistF|2000-04-05|178739|Jo Yeong Uk}}
 +
{{HistF|1999-10-18|160874|Jo Yeong Uk}}
 +
{{HistF|1999-08-08|153847|Jo Yeong Uk}}
 +
{{HistF|1997-12-19|117784|Yves Gallot}}
 +
{{HistF|1997-11-24|114760|Yves Gallot}}
 +
{{HistF|1995-08|50696|Jeffrey Young}}
 +
{{HistF|1995-08|44164|Jeffrey Young}}
 +
{{HistF|1993-07|38770|Harvey Dubner}}
 +
{{HistF|1993-05|30500|Harvey Dubner}}
 +
{{HistF|1993-03|19360|Jeffrey Young}}
 +
{{HistC|1979|1500-8000|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|7639|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|6419|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|3322|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|3080|Gordon V. Cormack,Hugh C. Williams}}

Latest revision as of 01:45, 27 September 2024

Current data

k , b : 27 , 2
Type : 3
Count : 49
Nash : 2142
Max n : 10,000,000
Date : 2024-05-23
2[1], 4[2], 7, 16, 19[3], 20[4], 22[5], 26[6], 40[7], 44[8], 46[9], 47[10], 50[11], 56[12], 59[13], 64[14], 92, 175, 215[15], 275[16], 407[17], 455[18], 1076[19], 1090[20], 3080[21], 3322, 6419[22], 7639[23], 19360, 30500[24], 38770[25], 44164[26], 50696[27], 114760[28], 117784[29], 153847[30], 160874[31], 178739[32], 379880[33], 405514[34], 672007[35], 974752[36], 1164664[37], 1476347[38], 2218064[39], 5213635[40], 7046834[41], 7963247[42], 12184319[43]
Remarks :
The sequence A032363 in OEIS

PrimeGrid Proth Prime Search is double-checking n>5000000 even n.

Notes

  1. ↑ Twin n=2
  2. ↑ Is GF Divisor of xGF(2,11,3), Twin n=4
  3. ↑ Is GF Divisor of GF(18,5)
  4. ↑ Is GF Divisor of xGF(17,11,5)
  5. ↑ Is GF Divisor of xGF(20,9,5)
  6. ↑ Is GF Divisor of xGF(24,5,3) [+1], Near Cullen 27•226+1
  7. ↑ Is GF Divisor of xGF(39,10,9) [+1]
  8. ↑ Is GF Divisor of xGF(43,12,5)
  9. ↑ Is GF Divisor of xGF(43,9,5)
  10. ↑ Is GF Divisor of GF(45,8) [+1]
  11. ↑ Is GF Divisor of xGF(49,11,10)
  12. ↑ Is GF Divisor of xGF(55,7,5) [+3], Near Cullen 54•255+1
  13. ↑ Is GF Divisor of xGF(56,7,4) [+1]
  14. ↑ Is GF Divisor of xGF(62,7,5) [+2]
  15. ↑ Is GF Divisor of xGF(214,10,3) [+2]
  16. ↑ Is GF Divisor of xGF(274,6,5)
  17. ↑ Is GF Divisor of GF(405,7) [+1]
  18. ↑ Is GF Divisor of F(452)
  19. ↑ Is GF Divisor of xGF(1073,9,7) [+1]
  20. ↑ Is GF Divisor of xGF(1089,7,6) [+2]
  21. ↑ Is GF Divisor of xGF(3079,11,3)
  22. ↑ Is GF Divisor of xGF(6416,11,6) [+1]
  23. ↑ Is GF Divisor of xGF(7638,8,5)
  24. ↑ Is GF Divisor of xGF(30499,10,3) [+1]
  25. ↑ Is GF Divisor of xGF(38769,11,10)
  26. ↑ Is GF Divisor of xGF(44161,11,6)
  27. ↑ Is GF Divisor of GF(50695,11)
  28. ↑ Is GF Divisor of xGF(114759,9,7)
  29. ↑ Is GF Divisor of xGF(117783,9,7)
  30. ↑ Is GF Divisor of xGF(153844,10,7)
  31. ↑ Is GF Divisor of xGF(160869,11,3) [+1]
  32. ↑ Is GF Divisor of xGF(178738,5,2) [+3]
  33. ↑ Is GF Divisor of xGF(379879,10,7)
  34. ↑ Is GF Divisor of xGF(405513,7,5) [+3]
  35. ↑ Is GF Divisor of F(672005) [+7]
  36. ↑ Is GF Divisor of xGF(974749,7,5) [+1]
  37. ↑ Is GF Divisor of xGF(1164663,9,7)
  38. ↑ Is GF Divisor of xGF(1476345,11,3)
  39. ↑ Is GF Divisor of xGF(2218063,9,5) [+1]
  40. ↑ Is GF Divisor of xGF(5213634,7,6) [+1]
  41. ↑ Is GF Divisor of xGF(7046830,10,3) [+1]
  42. ↑ Is GF Divisor of F(7963245)
  43. ↑ Is GF Divisor of GF(12184313,8) [+1]

History

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