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 15"

From Prime-Wiki
Jump to: navigation, search
(oeis)
(add Williams prime links)
 
(One intermediate revision by the same user not shown)
Line 5: Line 5:
 
|PNash=2873
 
|PNash=2873
 
|PMaxn=9000000
 
|PMaxn=9000000
−
|PDate=2023-08-19
+
|PDate=2024-09-02
 
|PReserved=
 
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
Line 11: Line 11:
 
1;T:T
 
1;T:T
 
2;T:T
 
2;T:T
−
4;T:GT
+
4;T:GT;C:{{NWi|MP|16|1}}
 
9;T:G
 
9;T:G
 
10;T:GT
 
10;T:GT
−
12;T:G
+
12;T:G;C:{{NWi|MP|16|3}}
 
27;T:G
 
27;T:G
 
37;T:G
 
37;T:G
 
38;T:G
 
38;T:G
−
44;T:G
+
44;T:G;C:{{NWi|MP|16|11}}
−
48;T:G
+
48;T:G;C:{{NWi|MP|16|12}}
 
78;T:G
 
78;T:G
−
112;T:G
+
112;T:G;C:{{NWi|MP|16|28}}
−
168;T:G
+
168;T:G;C:{{NWi|MP|16|42}}
 
229;T:G
 
229;T:G
 
297;T:G
 
297;T:G
Line 29: Line 29:
 
522;T:G
 
522;T:G
 
654;T:G
 
654;T:G
−
900;T:G
+
900;T:G;C:{{NWi|MP|16|225}}
 
1518;T:G
 
1518;T:G
−
2808;T:G
+
2808;T:G;C:{{NWi|MP|16|702}}
 
2875;T:G
 
2875;T:G
−
3128;T:G
+
3128;T:G;C:{{NWi|MP|16|782}}
−
3888;48604;T:G
+
3888;48604;T:G;C:{{NWi|MP|16|972}}
 
4410;41988;T:G
 
4410;41988;T:G
−
6804;35164;T:G
+
6804;35164;T:G;C:{{NWi|MP|16|1701}}
 
7050;34294;T:G
 
7050;34294;T:G
−
7392;33372;T:G
+
7392;33372;T:G;C:{{NWi|MP|16|1848}}
 
19219;23152;T:G
 
19219;23152;T:G
 
21445;22098;T:G
 
21445;22098;T:G
Line 44: Line 44:
 
24105;20592;T:G
 
24105;20592;T:G
 
24995;20233;T:G
 
24995;20233;T:G
−
34224;17281;T:G
+
34224;17281;T:G;C:{{NWi|MP|16|8556}}
−
34260;17272;T:G
+
34260;17272;T:G;C:{{NWi|MP|16|8565}}
−
43388;14582;T:G
+
43388;14582;T:G;C:{{NWi|MP|16|10847}}
−
48444;12997;T:G
+
48444;12997;T:G;C:{{NWi|MP|16|12111}}
 
61758;10009;T:G
 
61758;10009;T:G
 
184290;635;T:G
 
184290;635;T:G
 
294894;66508;T:G
 
294894;66508;T:G
−
300488;228;T:G
+
300488;228;T:G;C:{{NWi|MP|16|75122}}
 
403929;89;T:G
 
403929;89;T:G
 
483098;68755;T:G
 
483098;68755;T:G
 
635989;72068;T:G
 
635989;72068;T:G
 
701902;71862;T:G
 
701902;71862;T:G
−
734400;72166;T:G
+
734400;72166;T:G;C:{{NWi|MP|16|183600}}
−
1229600;77314;T:G
+
1229600;77314;T:G;C:{{NWi|MP|16|307400}}
 
1244377;76924;T:G
 
1244377;76924;T:G
 
1276177;77070;T:G
 
1276177;77070;T:G
−
1368428;77008;T:G
+
1368428;77008;T:G;C:{{NWi|MP|16|342107}}
 
1418605;77623;T:G
 
1418605;77623;T:G
 
1597510;78327;T:G
 
1597510;78327;T:G
−
1667744;80051;T:G
+
1667744;80051;T:G;C:{{NWi|MP|16|416936}}
 
2393365;92437;T:G
 
2393365;92437;T:G
−
2785940;110153;T:G
+
2785940;110153;T:G;C:{{NWi|MP|16|696485}}
 
2988834;110411;T:G
 
2988834;110411;T:G
 
3162659;110507;T:G
 
3162659;110507;T:G
−
4246384;114175;T:G
+
4246384;114175;T:G;C:{{NWi|MP|16|1061596}}
 
4800315;130039;T:G
 
4800315;130039;T:G
 
7300254;131357;T:G
 
7300254;131357;T:G
 
7619838;131499;T:G
 
7619838;131499;T:G
 
9312889;136334;T:G
 
9312889;136334;T:G
−
9830108;136364;T:G
+
9830108;136364;T:G;C:{{NWi|MP|16|2457527}}
−
|PRemarks=The {{OEIS|l|A002258}}
+
|PRemarks=The {{OEIS|l|A002258}}<br>See also {{NWi|MP|16|n}}
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2024-09-02|8-400000 only {{Vn}} ≡ 0 mod 4|Mark Rodenkirch|1052874}}, double-check, released
 +
{{HistR|2024-08-22|Mark Rodenkirch|903884}} for {{Rn|8|400000}} '''only {{Vn}} ≡ 0 mod 4''', double-check
 
{{HistF|2023-08-19|9830108|Ryan Propper}}
 
{{HistF|2023-08-19|9830108|Ryan Propper}}
 
{{HistF|2023-08-07|9312889|Ryan Propper}}
 
{{HistF|2023-08-07|9312889|Ryan Propper}}

Latest revision as of 17:17, 7 September 2024

Current data

k , b : 15 , 2
Type : 315
Count : 65
Nash : 2873
Max n : 9,000,000
Date : 2024-09-02
1[1], 2[2], 4[3], 9[4], 10[5], 12[6], 27[7], 37[8], 38[9], 44[10], 48[11], 78[12], 112[13], 168[14], 229[15], 297[16], 339[17], 517[18], 522[19], 654[20], 900[21], 1518[22], 2808[23], 2875[24], 3128[25], 3888[26], 4410[27], 6804[28], 7050[29], 7392[30], 19219[31], 21445[32], 21550[33], 24105[34], 24995[35], 34224[36], 34260[37], 43388[38], 48444[39], 61758[40], 184290[41], 294894[42], 300488[43], 403929[44], 483098[45], 635989[46], 701902[47], 734400[48], 1229600[49], 1244377[50], 1276177[51], 1368428[52], 1418605[53], 1597510[54], 1667744[55], 2393365[56], 2785940[57], 2988834[58], 3162659[59], 4246384[60], 4800315[61], 7300254[62], 7619838[63], 9312889[64], 9830108[65]
Remarks :
The sequence A002258 in OEIS
See also Williams 15•16n+1

Notes

  1. ↑ Twin n=1
  2. ↑ Twin n=2
  3. ↑ Is GF Divisor of xGF(3,11,2), Twin n=4, Williams 15•161+1
  4. ↑ Is GF Divisor of xGF(7,5,3) [+3]
  5. ↑ Is GF Divisor of xGF(9,7,6) [+3], Twin n=10
  6. ↑ Is GF Divisor of xGF(11,11,4), Williams 15•163+1
  7. ↑ Is GF Divisor of xGF(25,9,2) [+2]
  8. ↑ Is GF Divisor of xGF(36,7,5) [+3]
  9. ↑ Is GF Divisor of xGF(37,10,7)
  10. ↑ Is GF Divisor of xGF(43,7,3) [+3], Williams 15•1611+1
  11. ↑ Is GF Divisor of GF(45,8), Williams 15•1612+1
  12. ↑ Is GF Divisor of xGF(76,7,5)
  13. ↑ Is GF Divisor of xGF(110,5,2) [+2], Williams 15•1628+1
  14. ↑ Is GF Divisor of xGF(165,7,2) [+3], Williams 15•1642+1
  15. ↑ Is GF Divisor of F(226) [+5]
  16. ↑ Is GF Divisor of xGF(294,7,4) [+1]
  17. ↑ Is GF Divisor of xGF(337,7,3) [+2]
  18. ↑ Is GF Divisor of xGF(514,10,9) [+3]
  19. ↑ Is GF Divisor of xGF(519,9,5) [+1]
  20. ↑ Is GF Divisor of xGF(650,9,5)
  21. ↑ Is GF Divisor of GF(896,3) [+3], Williams 15•16225+1
  22. ↑ Is GF Divisor of GF(1513,5) [+3]
  23. ↑ Is GF Divisor of xGF(2804,5,2), Williams 15•16702+1
  24. ↑ Is GF Divisor of GF(2872,12)
  25. ↑ Is GF Divisor of xGF(3125,3,2) [+4], Williams 15•16782+1
  26. ↑ Is GF Divisor of xGF(3886,7,5) [+1], Williams 15•16972+1
  27. ↑ Is GF Divisor of xGF(4406,9,8) [+1]
  28. ↑ Is GF Divisor of GF(6801,6), Williams 15•161701+1
  29. ↑ Is GF Divisor of xGF(7048,4,3) [+2]
  30. ↑ Is GF Divisor of xGF(7391,11,10), Williams 15•161848+1
  31. ↑ Is GF Divisor of xGF(19218,9,7) [+3]
  32. ↑ Is GF Divisor of xGF(21443,10,9) [+1]
  33. ↑ Is GF Divisor of xGF(21546,11,8)
  34. ↑ Is GF Divisor of xGF(24103,10,9) [+1]
  35. ↑ Is GF Divisor of GF(24990,3)
  36. ↑ Is GF Divisor of xGF(34221,5,3) [+6], Williams 15•168556+1
  37. ↑ Is GF Divisor of xGF(34255,9,5) [+1], Williams 15•168565+1
  38. ↑ Is GF Divisor of GF(43379,6) [+9], Williams 15•1610847+1
  39. ↑ Is GF Divisor of xGF(48443,11,8), Williams 15•1612111+1
  40. ↑ Is GF Divisor of xGF(61755,9,2) [+1]
  41. ↑ Is GF Divisor of xGF(184288,5,4) [+5]
  42. ↑ Is GF Divisor of xGF(294893,11,9)
  43. ↑ Is GF Divisor of xGF(300485,4,3) [+6], Williams 15•1675122+1
  44. ↑ Is GF Divisor of xGF(403927,4,3) [+5]
  45. ↑ Is GF Divisor of xGF(483094,6,5) [+3]
  46. ↑ Is GF Divisor of xGF(635988,7,2) [+2]
  47. ↑ Is GF Divisor of xGF(701895,6,5) [+2]
  48. ↑ Is GF Divisor of xGF(734398,9,5) [+1], Williams 15•16183600+1
  49. ↑ Is GF Divisor of xGF(1229599,7,5) [+2], Williams 15•16307400+1
  50. ↑ Is GF Divisor of xGF(1244376,7,4) [+2]
  51. ↑ Is GF Divisor of GF(1276174,3) [+8]
  52. ↑ Is GF Divisor of xGF(1368426,8,5) [+3], Williams 15•16342107+1
  53. ↑ Is GF Divisor of xGF(1418603,4,3) [+11]
  54. ↑ Is GF Divisor of xGF(1597505,5,3) [+1]
  55. ↑ Is GF Divisor of xGF(1667743,8,7) [+1], Williams 15•16416936+1
  56. ↑ Is GF Divisor of xGF(2393362,5,4) [+3]
  57. ↑ Is GF Divisor of xGF(2785939,7,4) [+2], Williams 15•16696485+1
  58. ↑ Is GF Divisor of GF(2988832,8) [+1]
  59. ↑ Is GF Divisor of xGF(3162658,10,7) [+2]
  60. ↑ Is GF Divisor of GF(4246381,6) [+4], Williams 15•161061596+1
  61. ↑ Is GF Divisor of GF(4800313,3) [+5]
  62. ↑ Is GF Divisor of xGF(7300253,11,8)
  63. ↑ Is GF Divisor of xGF(7619837,11,6) [+1]
  64. ↑ Is GF Divisor of xGF(9312887,3,2) [+1]
  65. ↑ Is GF Divisor of xGF(9830107,7,6) [+1], Williams 15•162457527+1

History

Retrieved from "https://www.rieselprime.de/z/index.php?title=Proth_prime_2_15&oldid=34612"