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Difference between revisions of "Proth prime 2 165"

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|Pk=165
 
|Pk=165
 
|Pb=2
 
|Pb=2
−
|PCount=108
+
|PCount=109
 
|PNash=5158
 
|PNash=5158
 
|PMaxn=
 
|PMaxn=
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9
 
9
 
12;T:T
 
12;T:T
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17
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17;T:G
 
25
 
25
 
33
 
33
 
39;T:T
 
39;T:T
−
43
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43;T:G
 
51
 
51
 
65
 
65
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264;T:T
 
264;T:T
 
282;T:T
 
282;T:T
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293
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293;T:G
 
352
 
352
 
379
 
379
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729
 
729
 
745
 
745
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1013
+
1013;T:G
 
1407
 
1407
 
1417
 
1417
 
1532
 
1532
−
1887
+
1887;T:G
 
1902
 
1902
−
1993
+
1993;T:G
−
2137
+
2137;T:G
 
2294
 
2294
−
2381
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2381;T:G
 
2509
 
2509
 
3259
 
3259
 
4224;44245
 
4224;44245
 
4713
 
4713
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5719
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5719;T:G
 
6613
 
6613
 
7515;33114
 
7515;33114
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12500;27670
 
12500;27670
 
13347;27387
 
13347;27387
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14504;26802
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14504;26802;T:G
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16732;25079
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16732;25079;T:G
 
20865;22343
 
20865;22343
 
21396;22112
 
21396;22112
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27975;19172
 
27975;19172
 
33197;17732
 
33197;17732
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44442;14180
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44442;14180;T:G
−
45387;13674
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45387;13674;T:G
 
49095;12907;T:G
 
49095;12907;T:G
 
57633;10996
 
57633;10996
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187588;614
 
187588;614
 
230803;347;T:G
 
230803;347;T:G
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237948;329
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237948;329;T:G
 
247446;306
 
247446;306
 
335275;60856
 
335275;60856
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928724;80007
 
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1010133;81592
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1100755;82341
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1100755;82341;T:G
 
1117217;83149
 
1117217;83149
 
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4375458;136678
 
4375458;136678
 
4379097;136683
 
4379097;136683
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|PRemarks=
+
5416628;138618;T:G
 +
|PRemarks=The {{OEIS|l|A032459}}
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistF|2024-10-06|5416628|Shawn Schafer,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-11-23|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-11-23|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-11-20|4375458|Eric Liskay,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-11-20|4375458|Eric Liskay,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-03-01|3960664|Stefan Larsson,PrimeGrid Proth Prime Search}}
 
{{HistF|2023-03-01|3960664|Stefan Larsson,PrimeGrid Proth Prime Search}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 
{{HistF|2015-06-18|2870868|Greg Nelson,PrimeGrid Proth Prime Search}}
 
{{HistF|2015-06-18|2870868|Greg Nelson,PrimeGrid Proth Prime Search}}
 
{{HistF|2015-03-03|2732983|Grzegorz Granowski,PrimeGrid Proth Prime Search}}
 
{{HistF|2015-03-03|2732983|Grzegorz Granowski,PrimeGrid Proth Prime Search}}
Line 139: Line 142:
 
{{HistF|2009-09-21|838479|Steven Harvey,PrimeGrid Proth Prime Search}}
 
{{HistF|2009-09-21|838479|Steven Harvey,PrimeGrid Proth Prime Search}}
 
{{HistF|2009-01-20|509812|Jim Foody,PrimeGrid Proth Prime Search}}
 
{{HistF|2009-01-20|509812|Jim Foody,PrimeGrid Proth Prime Search}}
−
{{HistF|2008-12-22|781224|Ruediger K. Eckhard}}
+
{{HistF|2008-12-22|781224|Rüdiger K. Eckhard}}
 
{{HistF|2007-12-03|1117217|Kevin Odermatt}}
 
{{HistF|2007-12-03|1117217|Kevin Odermatt}}
 
{{HistF|2007-09-23|1100755|Kevin Odermatt}}
 
{{HistF|2007-09-23|1100755|Kevin Odermatt}}

Latest revision as of 03:13, 8 October 2024

Reserved! This sequence is currently part of Multi Reservation 1: PrimeGrid Proth Prime Search.

Current data

k , b : 165 , 2
Type : 315
Count : 109
Nash : 5158
Max n : 5,200,000
Date : 2024-07-25
Reserved : PrimeGridPrimeGrid/Reserved
1, 2[1], 3[2], 5[3], 7, 9, 12[4], 17[5], 25, 33, 39[6], 43[7], 51, 65, 71, 72, 84[8], 100, 104, 168, 198, 264[9], 282[10], 293[11], 352, 379, 611, 676, 719, 729, 745, 1013[12], 1407, 1417, 1532, 1887[13], 1902, 1993[14], 2137[15], 2294, 2381[16], 2509, 3259, 4224, 4713, 5719[17], 6613, 7515, 8575, 8935, 11598, 12500, 13347, 14504[18], 16732[19], 20865, 21396, 21525, 22843, 27975, 33197, 44442[20], 45387[21], 49095[22], 57633, 64108, 67326, 87580, 94484, 120400, 126928, 139459, 143437, 147953, 180740, 187588, 230803[23], 237948[24], 247446, 335275, 335871, 345749, 422468, 509812[25], 746994, 758432, 781224, 826425, 838479, 928724, 1010133, 1100755[26], 1117217, 1177856, 1207393[27], 1244739[28], 1408117, 1510977, 1533368, 1703392, 1705093[29], 2090645, 2319575, 2732983[30], 2870868, 3960664, 4375458, 4379097, 5416628[31]
Remarks :
The sequence A032459 in OEIS

Notes

  1. ↑ Twin n=2
  2. ↑ Twin n=3
  3. ↑ Twin n=5
  4. ↑ Twin n=12
  5. ↑ Is GF Divisor of xGF(14,4,3)
  6. ↑ Twin n=39
  7. ↑ Is GF Divisor of xGF(36,7,4)
  8. ↑ Twin n=84
  9. ↑ Twin n=264
  10. ↑ Twin n=282
  11. ↑ Is GF Divisor of GF(292,7)
  12. ↑ Is GF Divisor of xGF(1012,11,7)
  13. ↑ Is GF Divisor of xGF(1884,5,4)
  14. ↑ Is GF Divisor of xGF(1989,4,3)
  15. ↑ Is GF Divisor of xGF(2135,7,2)
  16. ↑ Is GF Divisor of GF(2379,8)
  17. ↑ Is GF Divisor of xGF(5714,9,5)
  18. ↑ Is GF Divisor of xGF(14502,10,3)
  19. ↑ Is GF Divisor of xGF(16727,11,9)
  20. ↑ Is GF Divisor of xGF(44441,12,7)
  21. ↑ Is GF Divisor of GF(45386,7)
  22. ↑ Is GF Divisor of F(49093)
  23. ↑ Is GF Divisor of GF(230801,12)
  24. ↑ Is GF Divisor of xGF(237946,11,4)
  25. ↑ Is GF Divisor of xGF(509808,10,7)
  26. ↑ Is GF Divisor of xGF(1100751,10,3)
  27. ↑ Is GF Divisor of xGF(1207390,7,6)
  28. ↑ Is GF Divisor of GF(1244737,8)
  29. ↑ Is GF Divisor of xGF(1705091,11,6)
  30. ↑ Is GF Divisor of xGF(2732980,7,5)
  31. ↑ Is GF Divisor of xGF(5416625,11,4)

History

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