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Proth primes of the form 3•2n+1

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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 : 22,845,734
Date : 2025-05-27
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

Notes

  1. Jump up ↑ Twin n=1
  2. Jump up ↑ Is GF Divisor of xGF(1,7,4) [+4], Twin n=2
  3. Jump up ↑ Is GF Divisor of xGF(4,5,2) [+11]
  4. Jump up ↑ Is GF Divisor of GF(3,3) [+11], Twin n=6
  5. Jump up ↑ Is GF Divisor of xGF(6,3,2) [+13]
  6. Jump up ↑ Is GF Divisor of GF(8,3) [+12]
  7. Jump up ↑ Is GF Divisor of GF(15,3) [+12], Twin n=18
  8. Jump up ↑ Is GF Divisor of GF(26,3) [+12]
  9. Jump up ↑ Is GF Divisor of GF(32,3) [+14]
  10. Jump up ↑ Is GF Divisor of F(38) [+9]
  11. Jump up ↑ Is GF Divisor of GF(63,3) [+14]
  12. Jump up ↑ Is GF Divisor of GF(187,3) [+12]
  13. Jump up ↑ Is GF Divisor of GF(198,3) [+11]
  14. Jump up ↑ Is GF Divisor of F(207) [+19]
  15. Jump up ↑ Is GF Divisor of GF(271,3) [+14]
  16. Jump up ↑ Is GF Divisor of xGF(350,3,2) [+11]
  17. Jump up ↑ Is GF Divisor of GF(403,3) [+14]
  18. Jump up ↑ Is GF Divisor of GF(435,3) [+12]
  19. Jump up ↑ Is GF Divisor of GF(531,3) [+12]
  20. Jump up ↑ Is GF Divisor of GF(2197,3) [+14]
  21. Jump up ↑ Is GF Divisor of xGF(2812,3,2) [+15]
  22. Jump up ↑ Is GF Divisor of GF(3160,3) [+14]
  23. Jump up ↑ Is GF Divisor of GF(3187,3) [+12]
  24. Jump up ↑ Is GF Divisor of GF(3906,3) [+15]
  25. Jump up ↑ Divides: GF(20908,5), GF(20906,12)
  26. Jump up ↑ Divides: GF(34346,3)
  27. Jump up ↑ Divides: GF(42290,3)
  28. Jump up ↑ Divides: GF(42663,12)
  29. Jump up ↑ Divides: GF(44683,3), GF(44684,10)
  30. Jump up ↑ Divides: GF(48146,3)
  31. Jump up ↑ Divides: GF(54787,3), GF(54786,5)
  32. Jump up ↑ Divides: GF(55178,3)
  33. Jump up ↑ Divides: GF(59970,3), GF(59972,5)
  34. Jump up ↑ Divides: GF(80187,3)
  35. Jump up ↑ Divides: F(157167), GF(157167,3), GF(157168,5), GF(157163,6), GF(157168,10), GF(157167,12)
  36. Jump up ↑ Divides: F(213319), GF(213319,5), GF(213316,6), GF(213319,12)
  37. Jump up ↑ Divides: F(303088), GF(303088,3), GF(303092,5), GF(303086,6), GF(303092,10), GF(303088,12)
  38. Jump up ↑ Divides: GF(362764,10), GF(362763,12)
  39. Jump up ↑ Divides: F(382447), GF(382447,3), GF(382443,6), GF(382447,12)
  40. Jump up ↑ Divides: GF(709962,3), GF(709963,5)
  41. Jump up ↑ Divides: GF(801973,3), GF(801977,5)
  42. Jump up ↑ Divides: GF(916771,3) GF(916772,10)
  43. Jump up ↑ Divides: GF(1832490,3), GF(1832494,5)
  44. Jump up ↑ Divides: F(2145351), GF(2145351,3), GF(2145352,5), GF(2145348,6), GF(2145352,10), GF(2145351,12)
  45. Jump up ↑ Divides: GF(2291607,3), GF(2291609,5)
  46. Jump up ↑ Divides: F(2478782), GF(2478782,3), GF(2478776,6), GF(2478782,12)
  47. Jump up ↑ Divides: GF(5082303,3), GF(5082305,5), GF(5082304,8), GF(5082305,11)
  48. Jump up ↑ Divides: GF(7033639,3)
  49. Jump up ↑ Divides GF(10829343,3), GF(10829345,5),GF(10829344,8), GF(10829345,11)
  50. Jump up ↑ Is GF Divisor of GF(16408814,3) [+12]

History

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