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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 : 6,063,000
Date : 2025-03-06
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. Jump up Is GF Divisor of xGF(3,11,5)
  2. Jump up Is GF Divisor of xGF(7,12,11)
  3. Jump up Is GF Divisor of xGF(13,6,5) [+1], Twin n=14
  4. Jump up Is GF Divisor of GF(16,10)
  5. Jump up Is GF Divisor of xGF(8,8,3), Williams 63•643+1
  6. Jump up Is GF Divisor of xGF(24,10,3)
  7. Jump up Is GF Divisor of xGF(40,7,3) [+1]
  8. Jump up Williams 63•6410+1
  9. Jump up Is GF Divisor of GF(64,10)
  10. Jump up Is GF Divisor of xGF(90,7,3)
  11. Jump up Is GF Divisor of xGF(226,11,7), Williams 63•6438+1
  12. Jump up Is GF Divisor of xGF(278,9,5)
  13. Jump up Is GF Divisor of xGF(312,12,7)
  14. Jump up Is GF Divisor of xGF(332,3,2)
  15. Jump up Is GF Divisor of xGF(425,11,2)
  16. Jump up Is GF Divisor of GF(625,10)
  17. Jump up Is GF Divisor of xGF(691,7,6) [+1], Cullen 63•204863+1
  18. Jump up Williams 63•64128+1
  19. Jump up Williams 63•64215+1
  20. Jump up Williams 63•64404+1
  21. Jump up Is GF Divisor of xGF(2477,8,5), Williams 63•64413+1
  22. Jump up Is GF Divisor of GF(3022,5), Williams 63•64504+1
  23. Jump up Is GF Divisor of xGF(3292,10,3)
  24. Jump up Is GF Divisor of xGF(4954,10,3), Williams 63•64826+1
  25. Jump up Is GF Divisor of xGF(5220,11,9)
  26. Jump up Is GF Divisor of xGF(20745,11,7)
  27. Jump up Is GF Divisor of xGF(34073,11,8), Williams 63•645679+1
  28. Jump up Is GF Divisor of xGF(88365,10,7)
  29. Jump up Is GF Divisor of xGF(121916,9,5)
  30. Jump up Is GF Divisor of GF(125213,6)
  31. Jump up Is GF Divisor of xGF(131321,3,2)
  32. Jump up Is GF Divisor of GF(222859,6)
  33. Jump up Is GF Divisor of GF(263407,6) [+1]
  34. Jump up Is GF Divisor of F(270091)
  35. Jump up Williams 63•6470838+1
  36. Jump up Is GF Divisor of xGF(448830,9,2)
  37. Jump up Is GF Divisor of xGF(775856,10,9)
  38. Jump up Is GF Divisor of xGF(892160,3,2) [+2], Williams 63•64148694+1
  39. Jump up Williams 63•64149718+1
  40. Jump up Is GF Divisor of xGF(1070447,7,4) [+1]
  41. Jump up Is GF Divisor of xGF(1356973,11,4)
  42. Jump up Is GF Divisor of xGF(1530884,11,3), Williams 63•64255148+1
  43. Jump up Williams 63•64270995+1
  44. Jump up Is GF Divisor of xGF(1686046,7,4) [+4]
  45. Jump up Is GF Divisor of xGF(1784497,5,3)
  46. Jump up Is GF Divisor of xGF(2807129,5,2), Williams 63•64467855+1
  47. Jump up Is GF Divisor of xGF(2898956,10,9)
  48. Jump up Williams 63•641290531+1
  49. Jump up Is GF Divisor of GF(8741223,8)

History