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Proth primes of the form 9•2n+1

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

Current data

k , b : 9 , 2
Type : 3
Count : 66
Nash : 2297
Max n : 5,200,000
Date : 2024-07-25
Reserved : PrimeGridPrimeGrid/Reserved
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.
See also Williams 9•8n+1

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, Williams 9•81+1
  4. ↑ Is GF Divisor of xGF(5,6,5) [+4], Williams 9•82+1
  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], Williams 9•811+1
  10. ↑ Is GF Divisor of xGF(41,5,4) [+6], Williams 9•814+1
  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, Cullen 9•1289+1, Williams 9•821+1
  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], Cullen 9•5129+1, Williams 9•827+1
  16. ↑ Is GF Divisor of xGF(132,8,7) [+2]
  17. ↑ Is GF Divisor of GF(158,3) [+7], Williams 9•854+1
  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], Williams 9•8122+1
  21. ↑ Is GF Divisor of xGF(662,5,3) [+3], Williams 9•8221+1
  22. ↑ Is GF Divisor of xGF(781,6,5) [+4]
  23. ↑ Is GF Divisor of GF(1303,3) [+2], Williams 9•8435+1
  24. ↑ Is GF Divisor of xGF(1409,3,2) [+1]
  25. ↑ Is GF Divisor of GF(1488,3) [+1], Williams 9•8498+1
  26. ↑ Is GF Divisor of GF(2294,6) [+3]
  27. ↑ Is GF Divisor of GF(2822,3) [+7], Williams 9•8942+1
  28. ↑ Is GF Divisor of xGF(3229,7,5) [+4]
  29. ↑ Is GF Divisor of GF(3353,7) [+4], Williams 9•81118+1
  30. ↑ Is GF Divisor of xGF(3408,5,3) [+5], Williams 9•81139+1
  31. ↑ Is GF Divisor of GF(3684,3) [+5], Williams 9•81230+1
  32. ↑ Is GF Divisor of GF(4838,3) [+7], Williams 9•81614+1
  33. ↑ Is GF Divisor of xGF(5801,8,7) [+6], Williams 9•81934+1
  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], Williams 9•813062+1
  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], Williams 9•816634+1
  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], Williams 9•8128330+1
  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], Williams 9•8278270+1
  56. ↑ Is GF Divisor of xGF(1051025,8,7) [+4], Williams 9•8350342+1
  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], Williams 9•81165814+1
  60. ↑ Is GF Divisor of xGF(5642511,5,3) [+3]
  61. ↑ Is GF Divisor of xGF(9778262,6,5) [+4], Williams 9•83259421+1
  62. ↑ Is GF Divisor of xGF(11158961,3,2) [+5]
  63. ↑ Is GF Divisor of xGF(11366285,7,4) [+6], Williams 9•83788762+1
  64. ↑ Is GF Divisor of xGF(11500842,5,3) [+4]
  65. ↑ Is GF Divisor of GF(12406885,3) [+3], Williams 9•84135629+1
  66. ↑ Is GF Divisor of GF(13334485,3) [+6], Williams 9•84444829+1

History

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