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Difference between revisions of "Proth prime 2 25"

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(all GF Divs+hist)
(n=13719266)
Line 2: Line 2:
 
|Pk=25
 
|Pk=25
 
|Pb=2
 
|Pb=2
−
|PCount=45
+
|PCount=46
 
|PNash=2198
 
|PNash=2198
 
|PMaxn=9000000
 
|PMaxn=9000000
Line 54: Line 54:
 
8456828;131626;T:G
 
8456828;131626;T:G
 
8788628;132108;T:G
 
8788628;132108;T:G
 +
13719266;134407;T:G
 
|PRemarks=For all even {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]].
 
|PRemarks=For all even {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]].
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistF|2022-09-21|13719266|Ryan Propper}}
 
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 
{{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official announcement])
 
{{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official announcement])

Revision as of 00:37, 9 March 2023

Current data

k , b : 25 , 2
Count : 46
Nash : 2198
Max n : 9,000,000
Date : 2021-04-01
2, 4[1], 6[2], 10[3], 20, 22, 52[4], 64[5], 78[6], 184[7], 232[8], 268, 340[9], 448[10], 554, 664[11], 740[12], 748[13], 1280[14], 1328[15], 1640[16], 3314[17], 3904[18], 3938[19], 5152[20], 9522, 57488[21], 66872[22], 148060[23], 154254[24], 216092[25], 302194[26], 367294[27], 627710[28], 966414[29], 1211488[30], 1258562[31], 1298186, 2141884[32], 2583690, 2927222[33], 3733144[34], 4481024[35], 8456828[36], 8788628[37], 13719266[38]
Remarks :
For all even n-values 25•2n+1 is a Generalized Fermat number.

Notes

  1. ↑ Is GF Divisor of xGF(3,3,2)
  2. ↑ Is GF Divisor of xGF(4,9,2)
  3. ↑ Is GF Divisor of xGF(8,9,2)
  4. ↑ Is GF Divisor of GF(48,10) [+1]
  5. ↑ Is GF Divisor of xGF(63,6,5)
  6. ↑ Is GF Divisor of xGF(77,3,2) [+2]
  7. ↑ Is GF Divisor of xGF(183,5,3) [+1]
  8. ↑ Is GF Divisor of xGF(230,9,2)
  9. ↑ Is GF Divisor of xGF(338,9,5)
  10. ↑ Is GF Divisor of xGF(439,5,2) [+2]
  11. ↑ Is GF Divisor of xGF(662,7,2) [+1]
  12. ↑ Is GF Divisor of xGF(738,9,8) [+1]
  13. ↑ Is GF Divisor of xGF(742,5,2) [+1]
  14. ↑ Is GF Divisor of xGF(1278,9,8) [+1]
  15. ↑ Is GF Divisor of xGF(1324,12,11)
  16. ↑ Is GF Divisor of xGF(1638,7,3) [+1]
  17. ↑ Is GF Divisor of xGF(3312,11,8)
  18. ↑ Is GF Divisor of GF(3903,6) [+2]
  19. ↑ Is GF Divisor of xGF(3934,12,11)
  20. ↑ Is GF Divisor of GF(5147,10)
  21. ↑ Is GF Divisor of xGF(57484,5,2) [+2]
  22. ↑ Is GF Divisor of xGF(66871,4,3) [+1]
  23. ↑ Is GF Divisor of xGF(148059,7,6) [+1]
  24. ↑ Is GF Divisor of xGF(154252,7,3) [+1]
  25. ↑ Is GF Divisor of xGF(216091,11,10)
  26. ↑ Is GF Divisor of xGF(302187,8,5)
  27. ↑ Is GF Divisor of xGF(367288,8,5)
  28. ↑ Is GF Divisor of xGF(627709,3,2) [+1]
  29. ↑ Is GF Divisor of xGF(966412,11,5)
  30. ↑ Is GF Divisor of GF(1211487,12)
  31. ↑ Is GF Divisor of xGF(1258561,7,2)
  32. ↑ Is GF Divisor of F(2141872) [+5]
  33. ↑ Is GF Divisor of xGF(2927219,7,6) [+1]
  34. ↑ Is GF Divisor of xGF(3733139,8,5) [+1]
  35. ↑ Is GF Divisor of xGF(4481020,8,5) [+1]
  36. ↑ Is GF Divisor of GF(8456827,12)
  37. ↑ Is GF Divisor of xGF(8788627,11,4)
  38. ↑ Is GF Divisor of xGF(13719265,7,5) [+2]

History

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