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Difference between revisions of "Proth prime 2 3"

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(add Williams prime links)
(add Cullen & near Cullen primes)
 
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|PNlist=
 
|PNlist=
 
1;T:GT
 
1;T:GT
−
2;T:GT;C:{{NWi|MP|4|1}}
+
2;T:GT;C:{{NCu|+|2|2}}, {{NWi|MP|4|1}}
 
5;T:G
 
5;T:G
−
6;T:GT;C:{{NWi|MP|4|3}}
+
6;T:GT;C:{{NCu|4|3}}, {{NCu|+|2|5}}, {{NWi|MP|4|3}}
−
8;T:G;C:{{NWi|MP|4|4}}
+
8;T:G;C:{{NCu|-|2|7}}, {{NWi|MP|4|4}}
−
12;T:G;C:{{NWi|MP|4|6}}
+
12;T:G;C:{{NCu|16|3}}, {{NWi|MP|4|6}}
−
18;T:GT;C:{{NWi|MP|4|9}}
+
18;T:GT;C:{{NCu|64|3}}, {{NWi|MP|4|9}}
−
30;T:G;C:{{NWi|MP|4|15}}
+
30;T:G;C:{{NCu|1024|3}}, {{NWi|MP|4|15}}
−
36;T:G;C:{{NWi|MP|4|18}}
+
36;T:G;C:{{NCu|4096|3}}, {{NWi|MP|4|18}}
 
41;T:G
 
41;T:G
 
66;T:G;C:{{NWi|MP|4|33}}
 
66;T:G;C:{{NWi|MP|4|33}}

Latest revision as of 20:27, 26 September 2024

Reserved! This sequence is currently part of Multi Reservation 22: PrimeGrid 321 Prime Search.

Current data

k , b : 3 , 2
Type : 3
Count : 50
Nash : 2132
Max n : 22,021,811
Date : 2024-10-13
Reserved : PrimeGridPrimeGrid/Reserved
1[1], 2[2], 5[3], 6[4], 8[5], 12[6], 18[7], 30[8], 36[9], 41[10], 66[11], 189[12], 201[13], 209[14], 276[15], 353[16], 408[17], 438[18], 534[19], 2208[20], 2816[21], 3168[22], 3189[23], 3912[24], 20909[25], 34350[26], 42294[27], 42665[28], 44685[29], 48150[30], 54792[31], 55182[32], 59973[33], 80190[34], 157169[35], 213321[36], 303093[37], 362765[38], 382449[39], 709968[40], 801978[41], 916773[42], 1832496[43], 2145353[44], 2291610[45], 2478785[46], 5082306[47], 7033641[48], 10829346[49], 16408818[50]
Remarks :
The sequence A002253 in OEIS
See also Williams 3•2n+1 & Williams 3•4n+1

Notes

  1. ↑ Is GF Divisor of xGF(0,11,10), Twin n=1
  2. ↑ Is GF Divisor of xGF(1,7,4) [+4], Twin n=2, Near Cullen 3•22+1, Williams 3•41+1
  3. ↑ Is GF Divisor of xGF(4,5,2) [+11]
  4. ↑ Is GF Divisor of GF(3,3) [+11], Twin n=6, Cullen 3•43+1, Near Cullen 6•25+1, Williams 3•43+1
  5. ↑ Is GF Divisor of xGF(6,3,2) [+13], Near Cullen 6•27+1, Williams 3•44+1
  6. ↑ Is GF Divisor of GF(8,3) [+12], Cullen 3•163+1, Williams 3•46+1
  7. ↑ Is GF Divisor of GF(15,3) [+12], Twin n=18, Cullen 3•643+1, Williams 3•49+1
  8. ↑ Is GF Divisor of GF(26,3) [+12], Cullen 3•10243+1, Williams 3•415+1
  9. ↑ Is GF Divisor of GF(32,3) [+14], Cullen 3•40963+1, Williams 3•418+1
  10. ↑ Is GF Divisor of F(38) [+9]
  11. ↑ Is GF Divisor of GF(63,3) [+14], Williams 3•433+1
  12. ↑ Is GF Divisor of GF(187,3) [+12]
  13. ↑ Is GF Divisor of GF(198,3) [+11]
  14. ↑ Is GF Divisor of F(207) [+19]
  15. ↑ Is GF Divisor of GF(271,3) [+14], Williams 3•4138+1
  16. ↑ Is GF Divisor of xGF(350,3,2) [+11]
  17. ↑ Is GF Divisor of GF(403,3) [+14], Williams 3•4204+1
  18. ↑ Is GF Divisor of GF(435,3) [+12], Williams 3•4219+1
  19. ↑ Is GF Divisor of GF(531,3) [+12], Williams 3•4267+1
  20. ↑ Is GF Divisor of GF(2197,3) [+14], Williams 3•41104+1
  21. ↑ Is GF Divisor of xGF(2812,3,2) [+15], Williams 3•41408+1
  22. ↑ Is GF Divisor of GF(3160,3) [+14], Williams 3•41584+1
  23. ↑ Is GF Divisor of GF(3187,3) [+12]
  24. ↑ Is GF Divisor of GF(3906,3) [+15], Williams 3•41956+1
  25. ↑ Is GF Divisor of xGF(20905,3,2) [+13]
  26. ↑ Is GF Divisor of GF(34346,3) [+12], Williams 3•417175+1
  27. ↑ Is GF Divisor of GF(42290,3) [+12], Williams 3•421147+1
  28. ↑ Is GF Divisor of xGF(42662,3,2) [+11]
  29. ↑ Is GF Divisor of GF(44683,3) [+16]
  30. ↑ Is GF Divisor of GF(48146,3) [+12], Williams 3•424075+1
  31. ↑ Is GF Divisor of GF(54787,3) [+15], Williams 3•427396+1
  32. ↑ Is GF Divisor of GF(55178,3) [+11], Williams 3•427591+1
  33. ↑ Is GF Divisor of GF(59970,3) [+15]
  34. ↑ Is GF Divisor of GF(80187,3) [+12], Williams 3•440095+1
  35. ↑ Is GF Divisor of F(157167) [+20]
  36. ↑ Is GF Divisor of F(213319) [+10]
  37. ↑ Is GF Divisor of F(303088) [+20]
  38. ↑ Is GF Divisor of xGF(362762,3,2) [+12]
  39. ↑ Is GF Divisor of F(382447) [+9]
  40. ↑ Is GF Divisor of GF(709962,3) [+14], Williams 3•4354984+1
  41. ↑ Is GF Divisor of GF(801973,3) [+12], Williams 3•4400989+1
  42. ↑ Is GF Divisor of GF(916771,3) [+16]
  43. ↑ Is GF Divisor of GF(1832490,3) [+18], Williams 3•4916248+1
  44. ↑ Is GF Divisor of F(2145351) [+19]
  45. ↑ Is GF Divisor of GF(2291607,3) [+14], Williams 3•41145805+1
  46. ↑ Is GF Divisor of F(2478782) [+9]
  47. ↑ Is GF Divisor of GF(5082303,3) [+14], Williams 3•42541153+1
  48. ↑ Is GF Divisor of GF(7033639,3) [+12]
  49. ↑ Is GF Divisor of GF(10829343,3) [+14], Williams 3•45414673+1
  50. ↑ Is GF Divisor of GF(16408814,3) [+12], Williams 3•48204409+1

History

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