Navigation
Topics Register • News • History • How to • Sequences statistics • Template prototypes

Proth primes of the form 9•2n+1

From Prime-Wiki
Jump to: navigation, search

Current data

k , b : 9 , 2
Type : 3
Count : 66
Nash : 2297
Max n : 4,000,000
Date : 2021-04-01
1[1], 2[2], 3[3], 6[4], 7[5], 11[6], 14[7], 17[8], 33[9], 42[10], 43[11], 63[12], 65[13], 67[14], 81[15], 134[16], 162[17], 206[18], 211[19], 366[20], 663[21], 782[22], 1305[23], 1411[24], 1494[25], 2297[26], 2826[27], 3230[28], 3354[29], 3417[30], 3690[31], 4842[32], 5802[33], 6937[34], 7967[35], 9431[36], 13903[37], 22603[38], 24422[39], 39186[40], 43963[41], 47003[42], 49902[43], 67943[44], 114854[45], 127003[46], 145247[47], 147073[48], 149143[49], 304607[50], 384990[51], 412034[52], 435743[53], 461081[54], 834810[55], 1051026[56], 1807574[57], 2543551[58], 3497442[59], 5642513[60], 9778263[61], 11158963[62], 11366286[63], 11500843[64], 12406887[65], 13334487[66]
Remarks :
The sequence A002256 in OEIS
For all even n-values 9•2n+1 is a Generalized Fermat number.

Notes

  1. Twin n=1
  2. Is GF Divisor of xGF(1,11,8)
  3. Is GF Divisor of xGF(2,7,3) [+3], Twin n=3
  4. Is GF Divisor of xGF(5,6,5) [+4]
  5. Is GF Divisor of xGF(5,3,2) [+5], Twin n=7
  6. Is GF Divisor of xGF(10,5,4) [+1]
  7. Is GF Divisor of xGF(10,4,3) [+6]
  8. Is GF Divisor of xGF(11,5,4) [+3]
  9. Is GF Divisor of GF(29,3) [+5]
  10. Is GF Divisor of xGF(41,5,4) [+6]
  11. Is GF Divisor of xGF(38,3,2) [+6], Twin n=43
  12. Is GF Divisor of GF(61,3) [+10], Twin n=63
  13. Is GF Divisor of GF(63,6) [+2]
  14. Is GF Divisor of F(63) [+19]
  15. Is GF Divisor of GF(79,3) [+9]
  16. Is GF Divisor of xGF(132,8,7) [+2]
  17. Is GF Divisor of GF(158,3) [+7]
  18. Is GF Divisor of GF(205,5) [+5]
  19. Is GF Divisor of xGF(210,5,4) [+3], Twin n=211
  20. Is GF Divisor of xGF(365,7,4) [+4]
  21. Is GF Divisor of xGF(662,5,3) [+3]
  22. Is GF Divisor of xGF(781,6,5) [+4]
  23. Is GF Divisor of GF(1303,3) [+2]
  24. Is GF Divisor of xGF(1409,3,2) [+1]
  25. Is GF Divisor of GF(1488,3) [+1]
  26. Is GF Divisor of GF(2294,6) [+3]
  27. Is GF Divisor of GF(2822,3) [+7]
  28. Is GF Divisor of xGF(3229,7,5) [+4]
  29. Is GF Divisor of GF(3353,7) [+4]
  30. Is GF Divisor of xGF(3408,5,3) [+5]
  31. Is GF Divisor of GF(3684,3) [+5]
  32. Is GF Divisor of GF(4838,3) [+7]
  33. Is GF Divisor of xGF(5801,8,7) [+6]
  34. Is GF Divisor of xGF(6935,3,2) [+3]
  35. Is GF Divisor of xGF(7966,5,3) [+4]
  36. Is GF Divisor of F(9428) [+8]
  37. Is GF Divisor of xGF(13900,3,2) [+5]
  38. Is GF Divisor of xGF(22602,5,3) [+2]
  39. Is GF Divisor of xGF(24417,4,3) [+5]
  40. Is GF Divisor of GF(39177,3) [+4]
  41. Is GF Divisor of xGF(43960,3,2) [+1]
  42. Is GF Divisor of xGF(47001,4,3) [+6]
  43. Is GF Divisor of xGF(49901,5,3) [+4]
  44. Is GF Divisor of xGF(67941,4,3) [+5]
  45. Is GF Divisor of xGF(114850,4,3) [+4]
  46. Is GF Divisor of xGF(127002,5,3) [+3]
  47. Is GF Divisor of xGF(145245,4,3) [+7]
  48. Is GF Divisor of xGF(147069,5,2) [+4]
  49. Is GF Divisor of xGF(149142,5,2) [+2]
  50. Is GF Divisor of xGF(304604,4,3) [+3]
  51. Is GF Divisor of xGF(384989,5,3) [+2]
  52. Is GF Divisor of xGF(412030,4,3) [+9]
  53. Is GF Divisor of xGF(435741,7,6) [+4]
  54. Is GF Divisor of F(461076) [+16]
  55. Is GF Divisor of xGF(834809,5,4) [+4]
  56. Is GF Divisor of xGF(1051025,8,7) [+4]
  57. Is GF Divisor of xGF(1807570,4,3) [+2]
  58. Is GF Divisor of F(2543548) [+16]
  59. Is GF Divisor of GF(3497441,7) [+5]
  60. Is GF Divisor of xGF(5642511,5,3) [+3]
  61. Is GF Divisor of xGF(9778262,6,5) [+4]
  62. Is GF Divisor of xGF(11158961,3,2) [+5]
  63. Is GF Divisor of xGF(11366285,7,4) [+6]
  64. Is GF Divisor of xGF(11500842,5,3) [+4]
  65. Is GF Divisor of GF(12406885,3) [+3]
  66. Is GF Divisor of GF(13334485,3) [+6]

History