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Difference between revisions of "Proth prime 3 2"

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{{Gen Proth prime
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{{Proth prime
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|GPk=2
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|Pk=2
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|GPCount=
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|Pb=3
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|GPNash=2729
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|PCount=48
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|GPMaxn=0
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|PNash=2729
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|GPDate=2020-02-14
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|PMaxn=2000000
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|GPReserved=
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|PDate=2024-09-14
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|GPMultiRes=
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|PReserved=
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|GPNlist=
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|PMultiRes=
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1;C:Divides Phi(3^1,2)
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|PNlist=
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2
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1;T:T;C:Divides Phi(3^1,2), {{NCu|+|3|1}}
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4
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2;T:T;C:{{NCu|3|2}}
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4;C:{{NCu|9|2}}
 
5;C:Divides Phi(3^5,2)
 
5;C:Divides Phi(3^5,2)
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6
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6;C:{{NCu|27|2}}, {{NCu|+|3|5}}
 
9;C:Divides Phi(3^7,2)
 
9;C:Divides Phi(3^7,2)
 
16
 
16
 
17;C:Divides Phi(3^15,2)
 
17;C:Divides Phi(3^15,2)
 
30
 
30
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54;C:{{NCu|3|54}}
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54
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57;C:Divides Phi(3^56,2)
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57;C:Divides Phi(3^56,2), {{NCu|3|54}}
 
60
 
60
 
65;C:Divides Phi(3^65,2)
 
65;C:Divides Phi(3^65,2)
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3648969;130431;C:Divides Phi(3^3648964,2)
 
3648969;130431;C:Divides Phi(3^3648964,2)
 
5570081;130502;C:Divides Phi(3^5570081,2)
 
5570081;130502;C:Divides Phi(3^5570081,2)
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|GPRemarks=The {{OEIS|l|A003306}}<br>{{C|red|No reliable search limit available!}}
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6236772;134659
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|GPSieve=
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10852677;134762;C:Divides Phi(3^10852674,2)
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11879700;138235
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|PRemarks=The {{OEIS|l|A003306}}<br>See also {{NWi|MP|3|n}}
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|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2024-09-14|1000000-2000000|Gary Barnes|1053681}}, released, results included
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{{HistC|2024-09-02|1-1000000|Gary Barnes|1052930}}, double-check {{Rn|1|50000}}, results included
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{{HistR|2024-08-30|Gary Barnes|1052678}} for {{Rn|1|1000000}}
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{{HistC|2024-08-30|1-50000|Karsten Bonath}}
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{{HistF|2024-06-22|11879700|Ryan Propper}}
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{{HistF|2023-01-08|10852677|Ryan Propper}}
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{{HistF|2022-12-20|6236772|Ryan Propper}}
 
{{HistF|2020-02-14|5570081|Ryan Propper}}
 
{{HistF|2020-02-14|5570081|Ryan Propper}}
 
{{HistF|2020-02-09|3648969|Paul Vanderveen,Ryan Propper}}
 
{{HistF|2020-02-09|3648969|Paul Vanderveen,Ryan Propper}}

Latest revision as of 20:52, 27 September 2024

Current data

k , b : 2 , 3
Count : 48
Nash : 2729
Max n : 2,000,000
Date : 2024-09-14
1[1], 2[2], 4[3], 5[4], 6[5], 9[6], 16, 17[7], 30, 54, 57[8], 60, 65[9], 132, 180, 320, 696, 782, 822, 897[10], 1252, 1454, 4217[11], 5480, 6225[12], 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529[13], 165896, 191814, 529680, 1074726, 1086112, 1175232, 1277862, 1346542, 3123036, 3648969[14], 5570081[15], 6236772, 10852677[16], 11879700
Remarks :
The sequence A003306 in OEIS
See also Williams 2•3n+1

Notes

  1. ↑ Twin n=1, Divides Phi(3^1,2), Near Cullen 2•31+1
  2. ↑ Twin n=2, Cullen 2•32+1
  3. ↑ Cullen 2•92+1
  4. ↑ Divides Phi(3^5,2)
  5. ↑ Cullen 2•272+1, Near Cullen 6•35+1
  6. ↑ Divides Phi(3^7,2)
  7. ↑ Divides Phi(3^15,2)
  8. ↑ Divides Phi(3^56,2), Cullen 54•354+1
  9. ↑ Divides Phi(3^65,2)
  10. ↑ Divides Phi(3^896,2)
  11. ↑ Divides Phi(3^4217,2)
  12. ↑ Divides Phi(3^6223,2)
  13. ↑ Divides Phi(3^152528,2)
  14. ↑ Divides Phi(3^3648964,2)
  15. ↑ Divides Phi(3^5570081,2)
  16. ↑ Divides Phi(3^10852674,2)

History

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