Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Proth primes of the form 63•2n+1

From Prime-Wiki
Revision as of 18:52, 7 September 2024 by Gd barnes (talk | contribs) (add Williams prime remark & links to primes)
Jump to: navigation, search
Reserved! This sequence is currently part of Multi Reservation 1: PrimeGrid Proth Prime Search.

Current data

k , b : 63 , 2
Type : 3
Count : 71
Nash : 3116
Max n : 5,200,000
Date : 2024-07-25
Reserved : PrimeGridPrimeGrid/Reserved
1, 4[1], 5, 9[2], 10, 14[3], 17[4], 18[5], 21, 25[6], 37, 38, 44[7], 60[8], 65[9], 94[10], 133, 153, 228[11], 280[12], 314[13], 326, 334[14], 340, 410, 429[15], 626[16], 693[17], 741, 768[18], 1150, 1290[19], 1441, 2424[20], 2478[21], 3024[22], 3293[23], 4956[24], 5221[25], 6416, 8480, 20746[26], 24633, 30053, 34074[27], 88366[28], 121917[29], 125218[30], 130221, 131325[31], 141497, 151269, 222861[32], 263413[33], 270094[34], 425028[35], 448833[36], 521925, 775857[37], 892164[38], 898308[39], 1070449[40], 1356980[41], 1530888[42], 1625970[43], 1686050[44], 1784498[45], 2807130[46], 2898957[47], 7743186[48], 8741225[49]
Remarks :
The sequence A032381 in OEIS
See also Williams 63•64n+1

Notes

  1. Is GF Divisor of xGF(3,11,5)
  2. Is GF Divisor of xGF(7,12,11)
  3. Is GF Divisor of xGF(13,6,5) [+1], Twin n=14
  4. Is GF Divisor of GF(16,10)
  5. Is GF Divisor of xGF(8,8,3), Williams 63•643+1
  6. Is GF Divisor of xGF(24,10,3)
  7. Is GF Divisor of xGF(40,7,3) [+1]
  8. Williams 63•6410+1
  9. Is GF Divisor of GF(64,10)
  10. Is GF Divisor of xGF(90,7,3)
  11. Is GF Divisor of xGF(226,11,7), Williams 63•6438+1
  12. Is GF Divisor of xGF(278,9,5)
  13. Is GF Divisor of xGF(312,12,7)
  14. Is GF Divisor of xGF(332,3,2)
  15. Is GF Divisor of xGF(425,11,2)
  16. Is GF Divisor of GF(625,10)
  17. Is GF Divisor of xGF(691,7,6) [+1]
  18. Williams 63•64128+1
  19. Williams 63•64215+1
  20. Williams 63•64404+1
  21. Is GF Divisor of xGF(2477,8,5), Williams 63•64413+1
  22. Is GF Divisor of GF(3022,5), Williams 63•64504+1
  23. Is GF Divisor of xGF(3292,10,3)
  24. Is GF Divisor of xGF(4954,10,3), Williams 63•64826+1
  25. Is GF Divisor of xGF(5220,11,9)
  26. Is GF Divisor of xGF(20745,11,7)
  27. Is GF Divisor of xGF(34073,11,8), Williams 63•645679+1
  28. Is GF Divisor of xGF(88365,10,7)
  29. Is GF Divisor of xGF(121916,9,5)
  30. Is GF Divisor of GF(125213,6)
  31. Is GF Divisor of xGF(131321,3,2)
  32. Is GF Divisor of GF(222859,6)
  33. Is GF Divisor of GF(263407,6) [+1]
  34. Is GF Divisor of F(270091)
  35. Williams 63•6470838+1
  36. Is GF Divisor of xGF(448830,9,2)
  37. Is GF Divisor of xGF(775856,10,9)
  38. Is GF Divisor of xGF(892160,3,2) [+2], Williams 63•64148694+1
  39. Williams 63•64149718+1
  40. Is GF Divisor of xGF(1070447,7,4) [+1]
  41. Is GF Divisor of xGF(1356973,11,4)
  42. Is GF Divisor of xGF(1530884,11,3), Williams 63•64255148+1
  43. Williams 63•64270995+1
  44. Is GF Divisor of xGF(1686046,7,4) [+4]
  45. Is GF Divisor of xGF(1784497,5,3)
  46. Is GF Divisor of xGF(2807129,5,2), Williams 63•64467855+1
  47. Is GF Divisor of xGF(2898956,10,9)
  48. Williams 63•641290531+1
  49. Is GF Divisor of GF(8741223,8)

History