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Proth primes of the form 19•2n+1

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Current data

k , b : 19 , 2
Type : Low
Count : 21
Nash : 828
Max n : 9,000,000
Date : 2021-04-01
6[1], 10[2], 46[3], 366[4], 1246[5], 2038[6], 4386[7], 4438[8], 6838[9], 7498[10], 7998[11], 9450[12], 11890[13], 17034[14], 23290[15], 73338[16], 149146[17], 323638[18], 853546[19], 2206266[20], 6833086[21]

Notes

  1. ↑ Divides xGF(5,8,5), xGF(5,9,5), xGF(4,9,8), xGF(5,11,4)
  2. ↑ Divides GF(9,5)
  3. ↑ Divides xGF(45,8,5), xGF(45,11,2)
  4. ↑ Divides xGF(365,5,4), xGF(365,8,7), xGF(360,10,7)
  5. ↑ Divides GF(1243,7), xGF(1244,6,5)
  6. ↑ Divides xGF(2037,5,4), xGF(2035,11,4), xGF(2037,11,5)
  7. ↑ Divides xGF(4382,11,10)
  8. ↑ Divides GF(4437,6)
  9. ↑ Divides F(6835), GF(6837,5), GF(6837,10), xGF(6837,5,2), xGF(6837,5,4), xGF(6837,8,5)
  10. ↑ Divides GF(7496,11), xGF(7497,5,2)
  11. ↑ Divides xGF(7997,5,4), xGF(7997,8,7), xGF(7992,10,7)
  12. ↑ Divides F(9448), GF(9449,7), xGF(9449,7,2), xGF(9449,7,4), xGF(9449,8,7)
  13. ↑ Divides xGF(11889,3,2), xGF(11888,8,7), xGF(11889,12,7)
  14. ↑ Divides GF(17033,5), xGF(17032,7,6)
  15. ↑ Divides F(23288), GF(23287,7), xGF(23288,7,2), xGF(23285,7,4), xGF(23288,8,7)
  16. ↑ Divides xGF(73335,5,3)
  17. ↑ Divides GF(149145,5), GF(149145,12), xGF(149144,12,5)
  18. ↑ Divides xGF(323637,8,5)
  19. ↑ Divides xGF(853545,4,3)
  20. ↑ Divides xGF(2206264,5,3)
  21. ↑ Divides xGF(6833083,5,3)

History

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