Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Proth prime 2 63"

From Prime-Wiki
Jump to: navigation, search
(new)
 
(add Cullen prime)
 
(9 intermediate revisions by 4 users not shown)
Line 1: Line 1:
 
{{Proth prime
 
{{Proth prime
 
|Pk=63
 
|Pk=63
 +
|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