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Proth primes of the form 3•2n+1

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Reserved! This sequence is currently reserved by: PrimeGrid

Current data

k , b : 3 , {{{Pb}}}
Type : 3
Count : 50
Nash : 2132
Max n : 16,270,000
Date : 2020-10-29
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

[[Category:Proth {{{Pb}}}|#.....00003]]

Notes

  1. ↑ Twin n=1
  2. ↑ Twin n=2
  3. ↑ Divides: GF(3,12)
  4. ↑ Twin n=6, Divides: GF(3,3)
  5. ↑ Divides: GF(6,5), GF(5,12)
  6. ↑ Divides: GF(8,3)
  7. ↑ Twin n=18, Divides: GF(15,3), GF(17,5)
  8. ↑ Divides: GF(26,3)
  9. ↑ Divides: GF(32,3)
  10. ↑ Divides: F(38), GF(38,3), GF(35,6), GF(38,12)
  11. ↑ Divides: GF(63,3), GF(65,5)
  12. ↑ Divides: GF(187,3), GF(188,5)
  13. ↑ Divides: GF(198,3)
  14. ↑ Divides: F(207), GF(207,3), GF(208,5), GF(203,6), GF(208,10), GF(207,12), xGF(206,3,2), xGF(207,4,3), xGF(208,5,2), xGF(208,5,3), xGF(208,5,4), xGF(208,6,5), xGF(205,8,3), xGF(208,8,5), xGF(207,9,2), xGF(208,9,5), xGF(207,9,8), xGF(208,10,3), xGF(208,10,9)
  15. ↑ Divides: GF(271,3)
  16. ↑ Divides: GF(351,12)
  17. ↑ Divides: GF(403,3), GF(406,5)
  18. ↑ Divides: GF(435,3)
  19. ↑ Divides: GF(531,3)
  20. ↑ Divides: GF(2197,3), GF(2206,5)
  21. ↑ Divides: GF(2804,5), GF(2811,12)
  22. ↑ Divides: GF(3160,3), GF(3162,5)
  23. ↑ Divides: GF(3187,3)
  24. ↑ Divides: GF(3906,3), GF(3910,5)
  25. ↑ Divides: GF(20908,5), GF(20906,12)
  26. ↑ Divides: GF(34346,3)
  27. ↑ Divides: GF(42290,3)
  28. ↑ Divides: GF(42663,12)
  29. ↑ Divides: GF(44683,3), GF(44684,10)
  30. ↑ Divides: GF(48146,3)
  31. ↑ Divides: GF(54787,3), GF(54786,5)
  32. ↑ Divides: GF(55178,3)
  33. ↑ Divides: GF(59970,3), GF(59972,5)
  34. ↑ Divides: GF(80187,3)
  35. ↑ Divides: F(157167), GF(157167,3), GF(157168,5), GF(157163,6), GF(157168,10), GF(157167,12)
  36. ↑ Divides: F(213319), GF(213319,5), GF(213316,6), GF(213319,12)
  37. ↑ Divides: F(303088), GF(303088,3), GF(303092,5), GF(303086,6), GF(303092,10), GF(303088,12)
  38. ↑ Divides: GF(362764,10), GF(362763,12)
  39. ↑ Divides: F(382447), GF(382447,3), GF(382443,6), GF(382447,12)
  40. ↑ Divides: GF(709962,3), GF(709963,5)
  41. ↑ Divides: GF(801973,3), GF(801977,5)
  42. ↑ Divides: GF(916771,3) GF(916772,10)
  43. ↑ Divides: GF(1832490,3), GF(1832494,5)
  44. ↑ Divides: F(2145351), GF(2145351,3), GF(2145352,5), GF(2145348,6), GF(2145352,10), GF(2145351,12)
  45. ↑ Divides: GF(2291607,3), GF(2291609,5)
  46. ↑ Divides: F(2478782), GF(2478782,3), GF(2478776,6), GF(2478782,12)
  47. ↑ Divides: GF(5082303,3), GF(5082305,5), GF(5082304,8), GF(5082305,11)
  48. ↑ Divides: GF(7033639,3)
  49. ↑ Divides GF(10829343,3), GF(10829345,5),GF(10829344,8), GF(10829345,11)
  50. ↑ Divides GF(16408814,3), GF(16408817,5), GF(16408815,8), xGF(16408817,5,3), xGF(16408816,7,4), xGF(16408815,8,3), xGF(16408817,8,5), xGF(16408817,9,5), xGF(16408815,9,8), xGF(16408817,11,4), xGF(16408817,11,7), xGF(16408816,12,7), xGF(16408817,12,11)

History

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