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Difference between revisions of "Proth prime 2 63"

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(PCount)
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{{Proth prime
 
{{Proth prime
 
|Pk=63
 
|Pk=63
−
|PCount=67
+
|Pb=2
 +
|PCount=71
 
|PNash=3116
 
|PNash=3116
−
|PMaxn=1200000
+
|PMaxn=
−
|PDate=2010-04-20
+
|PDate=
 
|PReserved=
 
|PReserved=
 +
|PMultiRes=1
 
|PNlist=
 
|PNlist=
 
1
 
1
−
4
+
4;T:G
 
5
 
5
−
9
+
9;T:G
 
10
 
10
−
14;T:T
+
14;T:GT
−
17
+
17;T:G
−
18
+
18;T:G;C:{{NWi|MP|64|3}}
 
21
 
21
−
25
+
25;T:G
 
37
 
37
 
38
 
38
−
44
+
44;T:G
−
60
+
60;C:{{NWi|MP|64|10}}
−
65
+
65;T:G
−
94
+
94;T:G
 
133
 
133
 
153
 
153
−
228
+
228;T:G;C:{{NWi|MP|64|38}}
−
280
+
280;T:G
−
314
+
314;T:G
 
326
 
326
−
334
+
334;T:G
 
340
 
340
 
410
 
410
−
429
+
429;T:G
−
626
+
626;T:G
−
693
+
693;T:G;C:{{NCu|2048|63}}
 
741
 
741
−
768
+
768;C:{{NWi|MP|64|128}}
 
1150
 
1150
−
1290
+
1290;C:{{NWi|MP|64|215}}
 
1441
 
1441
−
2424
+
2424;C:{{NWi|MP|64|404}}
−
2478
+
2478;T:G;C:{{NWi|MP|64|413}}
−
3024
+
3024;T:G;C:{{NWi|MP|64|504}}
−
3293
+
3293;T:G
−
4956;39243
+
4956;39243;T:G;C:{{NWi|MP|64|826}}
−
5221;38718
+
5221;38718;T:G
 
6416;37498
 
6416;37498
 
8480;30866
 
8480;30866
−
20746;22376
+
20746;22376;T:G
 
24633;20334
 
24633;20334
 
30053;18433
 
30053;18433
−
34074;17315
+
34074;17315;T:G;C:{{NWi|MP|64|5679}}
−
88366;6286
+
88366;6286;T:G
−
121917;2686
+
121917;2686;T:G
−
125218;2600
+
125218;2600;T:G
 
130221;2478
 
130221;2478
−
131325;2236
+
131325;2236;T:G
 
141497;1432
 
141497;1432
 
151269;1271
 
151269;1271
−
222861;370
+
222861;370;T:G
−
263413;268
+
263413;268;T:G
−
270094;260
+
270094;260;T:G
−
425028;82295
+
425028;82295;C:{{NWi|MP|64|70838}}
−
448833;71860
+
448833;71860;T:G
 
521925;83071
 
521925;83071
−
775857;85820
+
775857;85820;T:G
−
892164;86856
+
892164;86856;T:G;C:{{NWi|MP|64|148694}}
−
898308;86940
+
898308;86940;C:{{NWi|MP|64|149718}}
−
1070449;88871
+
1070449;88871;T:G
−
1356980;100614
+
1356980;100614;T:G
−
1530888;100856
+
1530888;100856;T:G;C:{{NWi|MP|64|255148}}
−
1625970;100902
+
1625970;100902;C:{{NWi|MP|64|270995}}
−
1686050;101002
+
1686050;101002;T:G
−
1784498;101135
+
1784498;101135;T:G
−
|PRemarks=
+
2807130;114172;T:G;C:{{NWi|MP|64|467855}}
 +
2898957;114178;T:G
 +
7743186;138007;C:{{NWi|MP|64|1290531}}
 +
8741225;138072;T:G
 +
|PRemarks=The {{OEIS|l|A032381}}<br>See also {{NWi|MP|64|n}}
 
}}
 
}}
 +
==History==
 +
{{HistF|2024-05-06|8741225|Ryan Propper}}
 +
{{HistF|2024-04-24|7743186|Ryan Propper}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 +
{{HistF|2013-05-18|2898957|Mark Molder,PrimeGrid Proth Prime Search}}
 +
{{HistF|2013-05-17|2807130|Mark Molder,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-08-20|1784498|Frans Englund,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-08-03|1686050|Bruce Dodson,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-07-24|1625970|Michael Frith,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-07-20|1530888|Quasar Liao,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-06-27|1356980|Chris Siegert}}
 +
{{HistF|2009-06-15|1070449|Steven Harvey,PrimeGrid Proth Prime Search}}
 +
{{HistF|2009-03-01|898308|Steven Harvey,PrimeGrid Proth Prime Search}}
 +
{{HistF|2009-02-23|892164|Steven Harvey,PrimeGrid Proth Prime Search}}
 +
{{HistF|2008-11-25|775857|Steven Harvey}}
 +
{{HistF|2007-11-20|521925|Steven Harvey}}
 +
{{HistF|2007-09-19|425028|Payam Samidoost}}
 +
{{HistF|2004-10-05|448833|Payam Samidoost}}
 +
{{HistF|2002-02-05|270094|Tadashi Taura}}
 +
{{HistF|2002-01-27|263413|Tadashi Taura}}
 +
{{HistF|2001-04-24|222861|Tadashi Taura}}
 +
{{HistF|1999-07-18|151269|Tadashi Taura}}
 +
{{HistF|1999-05-18|141497|Tadashi Taura}}
 +
{{HistF|1999-03-09|131325|Tadashi Taura}}
 +
{{HistF|1999-03-04|130221|Tadashi Taura}}
 +
{{HistF|1999-01-29|125218|Tadashi Taura}}
 +
{{HistF|1999-01-12|121917|Tadashi Taura}}
 +
{{HistF|1998-08-03|88366|Tadashi Taura}}
 +
{{HistF|1996-05-01|8480|Patrick Demichel}}
 +
{{HistF|1995-08|34074|Jeffrey Young}}
 +
{{HistF|1995-08|30053|Jeffrey Young}}
 +
{{HistF|1995-08|24633|Jeffrey Young}}
 +
{{HistF|1995-08|20746|Jeffrey Young}}
 +
{{HistF|1986|6416|Wilfrid Keller}}
 +
{{HistF|1984|5221|Hiromi Suyama}}
 +
{{HistF|1984|4956|Hiromi Suyama}}

Latest revision as of 15:31, 27 September 2024

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

Current data

k , b : 63 , 2
Type : 3
Count : 71
Nash : 3116
Max n : 5,200,000
Date : 2024-07-25
Reserved : PrimeGridPrimeGrid/Reserved
1, 4[1], 5, 9[2], 10, 14[3], 17[4], 18[5], 21, 25[6], 37, 38, 44[7], 60[8], 65[9], 94[10], 133, 153, 228[11], 280[12], 314[13], 326, 334[14], 340, 410, 429[15], 626[16], 693[17], 741, 768[18], 1150, 1290[19], 1441, 2424[20], 2478[21], 3024[22], 3293[23], 4956[24], 5221[25], 6416, 8480, 20746[26], 24633, 30053, 34074[27], 88366[28], 121917[29], 125218[30], 130221, 131325[31], 141497, 151269, 222861[32], 263413[33], 270094[34], 425028[35], 448833[36], 521925, 775857[37], 892164[38], 898308[39], 1070449[40], 1356980[41], 1530888[42], 1625970[43], 1686050[44], 1784498[45], 2807130[46], 2898957[47], 7743186[48], 8741225[49]
Remarks :
The sequence A032381 in OEIS
See also Williams 63•64n+1

Notes

  1. ↑ Is GF Divisor of xGF(3,11,5)
  2. ↑ Is GF Divisor of xGF(7,12,11)
  3. ↑ Is GF Divisor of xGF(13,6,5) [+1], Twin n=14
  4. ↑ Is GF Divisor of GF(16,10)
  5. ↑ Is GF Divisor of xGF(8,8,3), Williams 63•643+1
  6. ↑ Is GF Divisor of xGF(24,10,3)
  7. ↑ Is GF Divisor of xGF(40,7,3) [+1]
  8. ↑ Williams 63•6410+1
  9. ↑ Is GF Divisor of GF(64,10)
  10. ↑ Is GF Divisor of xGF(90,7,3)
  11. ↑ Is GF Divisor of xGF(226,11,7), Williams 63•6438+1
  12. ↑ Is GF Divisor of xGF(278,9,5)
  13. ↑ Is GF Divisor of xGF(312,12,7)
  14. ↑ Is GF Divisor of xGF(332,3,2)
  15. ↑ Is GF Divisor of xGF(425,11,2)
  16. ↑ Is GF Divisor of GF(625,10)
  17. ↑ Is GF Divisor of xGF(691,7,6) [+1], Cullen 63•204863+1
  18. ↑ Williams 63•64128+1
  19. ↑ Williams 63•64215+1
  20. ↑ Williams 63•64404+1
  21. ↑ Is GF Divisor of xGF(2477,8,5), Williams 63•64413+1
  22. ↑ Is GF Divisor of GF(3022,5), Williams 63•64504+1
  23. ↑ Is GF Divisor of xGF(3292,10,3)
  24. ↑ Is GF Divisor of xGF(4954,10,3), Williams 63•64826+1
  25. ↑ Is GF Divisor of xGF(5220,11,9)
  26. ↑ Is GF Divisor of xGF(20745,11,7)
  27. ↑ Is GF Divisor of xGF(34073,11,8), Williams 63•645679+1
  28. ↑ Is GF Divisor of xGF(88365,10,7)
  29. ↑ Is GF Divisor of xGF(121916,9,5)
  30. ↑ Is GF Divisor of GF(125213,6)
  31. ↑ Is GF Divisor of xGF(131321,3,2)
  32. ↑ Is GF Divisor of GF(222859,6)
  33. ↑ Is GF Divisor of GF(263407,6) [+1]
  34. ↑ Is GF Divisor of F(270091)
  35. ↑ Williams 63•6470838+1
  36. ↑ Is GF Divisor of xGF(448830,9,2)
  37. ↑ Is GF Divisor of xGF(775856,10,9)
  38. ↑ Is GF Divisor of xGF(892160,3,2) [+2], Williams 63•64148694+1
  39. ↑ Williams 63•64149718+1
  40. ↑ Is GF Divisor of xGF(1070447,7,4) [+1]
  41. ↑ Is GF Divisor of xGF(1356973,11,4)
  42. ↑ Is GF Divisor of xGF(1530884,11,3), Williams 63•64255148+1
  43. ↑ Williams 63•64270995+1
  44. ↑ Is GF Divisor of xGF(1686046,7,4) [+4]
  45. ↑ Is GF Divisor of xGF(1784497,5,3)
  46. ↑ Is GF Divisor of xGF(2807129,5,2), Williams 63•64467855+1
  47. ↑ Is GF Divisor of xGF(2898956,10,9)
  48. ↑ Williams 63•641290531+1
  49. ↑ Is GF Divisor of GF(8741223,8)

History

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