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Difference between revisions of "Proth prime 2 63"

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(add Williams prime remark & links to primes)
(add Cullen prime)
 
Line 36: Line 36:
 
429;T:G
 
429;T:G
 
626;T:G
 
626;T:G
693;T:G
+
693;T:G;C:{{NCu|2048|63}}
 
741
 
741
 
768;C:{{NWi|MP|64|128}}
 
768;C:{{NWi|MP|64|128}}

Latest revision as of 15:31, 27 September 2024

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 : 6,568,300
Date : 2025-05-18
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