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Proth primes of the form 63•2n+1

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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 : 5,570,000
Date : 2024-12-06
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], Cullen 63•204863+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