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Difference between revisions of "Proth prime 2 9"

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(hist 1979)
(all GF Divs)
Line 10: Line 10:
 
|PNlist=
 
|PNlist=
 
1;T:T
 
1;T:T
2
+
2;T:G
3;T:T;C:Divides: GF(2,10)
+
3;T:GT
6
+
6;T:G
7;T:T
+
7;T:GT
11;C:Divides: GF(8,6)
+
11;T:G
14
+
14;T:G
17
+
17;T:G
 
33;T:G
 
33;T:G
42
+
42;T:G
43;T:T
+
43;T:GT
63;T:T;C:Divides: GF(61,3), GF(62,10)
+
63;T:GT
65;C:Divides: GF(63,6)
+
65;T:G
67;C:Divides: F(63), GF(64,3), GF(66,5), GF(64,6), GF(66,10), GF(64,12)
+
67;T:G
81;C:Divides: GF(79,3)
+
81;T:G
134
+
134;T:G
162;C:Divides: GF(158,3)
+
162;T:G
206;C:Divides: GF(205,5)
+
206;T:G
211;T:T;C:Divides: GF(204,12)
+
211;T:GT
366
+
366;T:G
663
+
663;T:G
782
+
782;T:G
1305;C:Divides: GF(1303,3)
+
1305;T:G
1411
+
1411;T:G
1494;C:Divides: GF(1488,3)
+
1494;T:G
2297;C:Divides: GF(2294,6)
+
2297;T:G
2826;C:Divides: GF(2822,3)
+
2826;T:G
3230
+
3230;T:G
3354;56509;C:Divides: GF(3353,10)
+
3354;56509;T:G
3417;56001
+
3417;56001;T:G
3690;51936;C:Divides: GF(3684,3)
+
3690;51936;T:G
4842;39625;C:Divides: GF(4838,3)
+
4842;39625;T:G
5802;38118
+
5802;38118;T:G
6937;34858
+
6937;34858;T:G
7967;32237;C:Divides: GF(7964,6), GF(7966,10)
+
7967;32237;T:G
9431;29962;C:Divides: F(9428), GF(9429,3), GF(9429,6), GF(9429,12)
+
9431;29962;T:G
13903;27077;C:Divides: GF(13902,5)
+
13903;27077;T:G
22603;21686;C:Divides: GF(22601,12)
+
22603;21686;T:G
24422;20432
+
24422;20432;T:G
39186;16396;C:Divides: GF(39177,3)
+
39186;16396;T:G
43963;14381
+
43963;14381;T:G
47003;13256
+
47003;13256;T:G
49902;12820
+
49902;12820;T:G
67943;8517;C:Divides: GF(67941,6)
+
67943;8517;T:G
114854;2840
+
114854;2840;T:G
127003;2560;C:Divides: GF(126999,12)
+
127003;2560;T:G
145247;1371
+
145247;1371;T:G
147073;1341;C:Divides: GF(147070,12)
+
147073;1341;T:G
149143;1305;C:Divides: GF(149141,12)
+
149143;1305;T:G
304607;222;C:Divides: GF(304604,6)
+
304607;222;T:G
384990;91
+
384990;91;T:G
412034;64729
+
412034;64729;T:G
435743;65451;C:Divides: GF(435742,10)
+
435743;65451;T:G
461081;65770;C:Divides: F(461076), GF(461077,3), GF(461077,6), GF(461077,12)
+
461081;65770;T:G
834810;71697
+
834810;71697;T:G
1051026;72753
+
1051026;72753;T:G
1807574;100561
+
1807574;100561;T:G
2543551;100563
+
2543551;100563;T:G
3497442;109930;C:Divides: GF(3497441,7), xGF(3497438,9,8), GF(3497441,10), xGF(3497439,11,3), xGF(3497441,12,5)
+
3497442;109930;T:G
5642513;116472;C:Divides: GF(5642510,7), xGF(5642511,5,3), xGF(5642509,9,2), xGF(5642512,12,11)
+
5642513;116472;T:G
9778263;131055;C:Divides: GF(9778262,7), xGF(9778262,6,5), xGF(9778256,9,8), xGF(9778260,11,10), xGF(9778262,12,11)
+
9778263;131055;T:G
11158963;130768;C:Divides: GF(11158962,5), xGF(11158961,3,2), xGF(11158962,10,3), xGF(11158962,11,4), xGF(11158962,11,6), xGF(11158962,11,9)
+
11158963;130768;T:G
11366286;130799;C:Divides: xGF(11366285,7,4), xGF(11366285,8,5), xGF(11366285,9,5), xGF(11366281,9,8), xGF(11366285,11,5), xGF(11366284,11,8), xGF(11366284,11,9)
+
11366286;130799;T:G
11500843;130770;C:Divides: GF(11500840,12), xGF(11500842,5,3), xGF(11500842,9,7), xGF(11500841,11,7), xGF(11500842,11,9)
+
11500843;130770;T:G
12406887;130801;C:Divides: GF(12406885,3), GF(12406883,11), xGF(12406886,7,2), xGF(12406886,7,6), xGF(12406886,8,5), xGF(12406885,11,3), xGF(12406884,11,9)
+
12406887;130801;T:G
13334487;130806;C:Divides: GF(13334485,3), GF(13334486,7), GF(13334484,8), xGF(13334486,7,3), xGF(13334485,8,3), xGF(13334486,8,7), xGF(13334486,9,7), xGF(13334483,9,8)
+
13334487;130806;T:G
 
|PRemarks=The {{OEIS|l|A002256}}
 
|PRemarks=The {{OEIS|l|A002256}}
 
}}
 
}}
Line 82: Line 82:
 
{{HistF|2020-03-31|13334487|Ryan Propper}}
 
{{HistF|2020-03-31|13334487|Ryan Propper}}
 
{{HistF|2020-03-29|12406887|Ryan Propper}}
 
{{HistF|2020-03-29|12406887|Ryan Propper}}
 +
{{HistF|2020-03-26|11366286|Ryan Propper}}
 
{{HistF|2020-03-13|11500843|Ryan Propper}}
 
{{HistF|2020-03-13|11500843|Ryan Propper}}
{{HistF|2020-03-26|11366286|Ryan Propper}}
 
 
{{HistF|2020-03-13|11158963|Ryan Propper}}
 
{{HistF|2020-03-13|11158963|Ryan Propper}}
 
{{HistF|2013-11-29|5642513|Serge Batalov}}
 
{{HistF|2013-11-29|5642513|Serge Batalov}}
 
{{HistC|?|4000000|PrimeGrid Proth Prime Search}}
 
{{HistC|?|4000000|PrimeGrid Proth Prime Search}}
{{HistF|2012-10-24|3497442|Heinz Ming}}, [http://www.primegrid.com/download/PPS-3497442.pdf Official announcement]
+
{{HistF|2012-10-24|3497442|Heinz Ming,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/PPS-3497442.pdf Official announcement])
{{HistF|2011-06-22|2543551|James Scott Brown}}, [http://www.primegrid.com/download/pps-F2543548.pdf Official announcement]
+
{{HistF|2011-06-22|2543551|James Scott Brown,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/pps-F2543548.pdf Official announcement])
{{HistF|2011-06-22|1807574|Reuben Gathright}}
+
{{HistF|2011-06-22|1807574|Reuben Gathright,PrimeGrid Proth Prime Search}}
 
{{HistF|2004-12-14|1051026|Souichi Murata,Satoshi Noda,Takahiro Nohara}}
 
{{HistF|2004-12-14|1051026|Souichi Murata,Satoshi Noda,Takahiro Nohara}}
 
{{HistF|2004-09-22|834810|Senji Yamashita,Satoshi Noda,Takahiro Nohara}}
 
{{HistF|2004-09-22|834810|Senji Yamashita,Satoshi Noda,Takahiro Nohara}}
Line 103: Line 103:
 
{{HistF|1995-08|114854|Jeffrey Young}}
 
{{HistF|1995-08|114854|Jeffrey Young}}
 
{{HistF|1995-08|67943|Jeffrey Young}}
 
{{HistF|1995-08|67943|Jeffrey Young}}
 +
{{HistF|1994-07-01|43963|Jeffrey Young}}
 
{{HistF|1993-10-01|49902|Jeffrey Young}}
 
{{HistF|1993-10-01|49902|Jeffrey Young}}
 
{{HistF|1993-10-01|47003|Jeffrey Young}}
 
{{HistF|1993-10-01|47003|Jeffrey Young}}
{{HistF|1994-07-01|43963|Jeffrey Young}}
+
{{HistF|1992-12|39186|Harvey Dubner}}
{{HistF|1992|39186|Harvey Dubner}}
 
 
{{HistF|1992-10|24422|Harvey Dubner}}
 
{{HistF|1992-10|24422|Harvey Dubner}}
 
{{HistF|1992|22603|Harvey Dubner}}
 
{{HistF|1992|22603|Harvey Dubner}}
 
{{HistF|1991|13903|Wilfrid Keller}}
 
{{HistF|1991|13903|Wilfrid Keller}}
 
{{HistF|1983|9431|Wilfrid Keller}}
 
{{HistF|1983|9431|Wilfrid Keller}}
 +
{{HistF|1983|6937|Wilfrid Keller}}
 +
{{HistF|1983|4842|Wilfrid Keller}}
 
{{HistF|1979|7967|A. Oliver L. Atkin,Neil W. Rickert}}
 
{{HistF|1979|7967|A. Oliver L. Atkin,Neil W. Rickert}}
{{HistF|1983|6937|Wilfrid Keller}}
 
 
{{HistF|1979|5802|A. Oliver L. Atkin,Neil W. Rickert}}
 
{{HistF|1979|5802|A. Oliver L. Atkin,Neil W. Rickert}}
{{HistF|1983|4842|Wilfrid Keller}}
 
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|3690|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|3690|Gordon V. Cormack,Hugh C. Williams}}

Revision as of 14:44, 23 August 2021

Current data

k , b : 9 , 2
Type : 3
Count : 66
Nash : 2297
Max n : 4,000,000
Date : 2021-04-01
1[1], 2[2], 3[3], 6[4], 7[5], 11[6], 14[7], 17[8], 33[9], 42[10], 43[11], 63[12], 65[13], 67[14], 81[15], 134[16], 162[17], 206[18], 211[19], 366[20], 663[21], 782[22], 1305[23], 1411[24], 1494[25], 2297[26], 2826[27], 3230[28], 3354[29], 3417[30], 3690[31], 4842[32], 5802[33], 6937[34], 7967[35], 9431[36], 13903[37], 22603[38], 24422[39], 39186[40], 43963[41], 47003[42], 49902[43], 67943[44], 114854[45], 127003[46], 145247[47], 147073[48], 149143[49], 304607[50], 384990[51], 412034[52], 435743[53], 461081[54], 834810[55], 1051026[56], 1807574[57], 2543551[58], 3497442[59], 5642513[60], 9778263[61], 11158963[62], 11366286[63], 11500843[64], 12406887[65], 13334487[66]
Remarks :
The sequence A002256 in OEIS

Notes

  1. Twin n=1
  2. Is GF Divisor of xGF(1,11,8)
  3. Is GF Divisor of xGF(2,7,3) [+3], Twin n=3
  4. Is GF Divisor of xGF(5,6,5) [+4]
  5. Is GF Divisor of xGF(5,3,2) [+5], Twin n=7
  6. Is GF Divisor of xGF(10,5,4) [+1]
  7. Is GF Divisor of xGF(10,4,3) [+6]
  8. Is GF Divisor of xGF(11,5,4) [+3]
  9. Is GF Divisor of GF(29,3) [+5]
  10. Is GF Divisor of xGF(41,5,4) [+6]
  11. Is GF Divisor of xGF(38,3,2) [+6], Twin n=43
  12. Is GF Divisor of GF(61,3) [+10], Twin n=63
  13. Is GF Divisor of GF(63,6) [+2]
  14. Is GF Divisor of F(63) [+19]
  15. Is GF Divisor of GF(79,3) [+9]
  16. Is GF Divisor of xGF(132,8,7) [+2]
  17. Is GF Divisor of GF(158,3) [+7]
  18. Is GF Divisor of GF(205,5) [+5]
  19. Is GF Divisor of xGF(210,5,4) [+3], Twin n=211
  20. Is GF Divisor of xGF(365,7,4) [+4]
  21. Is GF Divisor of xGF(662,5,3) [+3]
  22. Is GF Divisor of xGF(781,6,5) [+4]
  23. Is GF Divisor of GF(1303,3) [+2]
  24. Is GF Divisor of xGF(1409,3,2) [+1]
  25. Is GF Divisor of GF(1488,3) [+1]
  26. Is GF Divisor of GF(2294,6) [+3]
  27. Is GF Divisor of GF(2822,3) [+7]
  28. Is GF Divisor of xGF(3229,7,5) [+4]
  29. Is GF Divisor of GF(3353,7) [+4]
  30. Is GF Divisor of xGF(3408,5,3) [+5]
  31. Is GF Divisor of GF(3684,3) [+5]
  32. Is GF Divisor of GF(4838,3) [+7]
  33. Is GF Divisor of xGF(5801,8,7) [+6]
  34. Is GF Divisor of xGF(6935,3,2) [+3]
  35. Is GF Divisor of xGF(7966,5,3) [+4]
  36. Is GF Divisor of F(9428) [+8]
  37. Is GF Divisor of xGF(13900,3,2) [+5]
  38. Is GF Divisor of xGF(22602,5,3) [+2]
  39. Is GF Divisor of xGF(24417,4,3) [+5]
  40. Is GF Divisor of GF(39177,3) [+4]
  41. Is GF Divisor of xGF(43960,3,2) [+1]
  42. Is GF Divisor of xGF(47001,4,3) [+6]
  43. Is GF Divisor of xGF(49901,5,3) [+4]
  44. Is GF Divisor of xGF(67941,4,3) [+5]
  45. Is GF Divisor of xGF(114850,4,3) [+4]
  46. Is GF Divisor of xGF(127002,5,3) [+3]
  47. Is GF Divisor of xGF(145245,4,3) [+7]
  48. Is GF Divisor of xGF(147069,5,2) [+4]
  49. Is GF Divisor of xGF(149142,5,2) [+2]
  50. Is GF Divisor of xGF(304604,4,3) [+3]
  51. Is GF Divisor of xGF(384989,5,3) [+2]
  52. Is GF Divisor of xGF(412030,4,3) [+9]
  53. Is GF Divisor of xGF(435741,7,6) [+4]
  54. Is GF Divisor of F(461076) [+16]
  55. Is GF Divisor of xGF(834809,5,4) [+4]
  56. Is GF Divisor of xGF(1051025,8,7) [+4]
  57. Is GF Divisor of xGF(1807570,4,3) [+2]
  58. Is GF Divisor of F(2543548) [+16]
  59. Is GF Divisor of GF(3497441,7) [+5]
  60. Is GF Divisor of xGF(5642511,5,3) [+3]
  61. Is GF Divisor of xGF(9778262,6,5) [+4]
  62. Is GF Divisor of xGF(11158961,3,2) [+5]
  63. Is GF Divisor of xGF(11366285,7,4) [+6]
  64. Is GF Divisor of xGF(11500842,5,3) [+4]
  65. Is GF Divisor of GF(12406885,3) [+3]
  66. Is GF Divisor of GF(13334485,3) [+6]

History