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Difference between revisions of "Proth prime 3 2"

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(reservation)
(add near Cullen primes)
 
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|PCount=48
 
|PCount=48
 
|PNash=2729
 
|PNash=2729
|PMaxn=50000
+
|PMaxn=2000000
|PDate=2024-08-30
+
|PDate=2024-09-14
|PReserved=Gary Barnes
+
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
 
|PNlist=
 
|PNlist=
1;C:Divides Phi(3^1,2)
+
1;T:T;C:Divides Phi(3^1,2), {{NCu|+|3|1}}
2;C:{{NCu|3|2}}
+
2;T:T;C:{{NCu|3|2}}
 
4;C:{{NCu|9|2}}
 
4;C:{{NCu|9|2}}
 
5;C:Divides Phi(3^5,2)
 
5;C:Divides Phi(3^5,2)
6;C:{{NCu|27|2}}
+
6;C:{{NCu|27|2}}, {{NCu|+|3|5}}
 
9;C:Divides Phi(3^7,2)
 
9;C:Divides Phi(3^7,2)
 
16
 
16
Line 57: Line 57:
 
10852677;134762;C:Divides Phi(3^10852674,2)
 
10852677;134762;C:Divides Phi(3^10852674,2)
 
11879700;138235
 
11879700;138235
|PRemarks=The {{OEIS|l|A003306}}, see also {{NWi|MP|3|n}}.
+
|PRemarks=The {{OEIS|l|A003306}}<br>See also {{NWi|MP|3|n}}
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2024-09-14|1000000-2000000|Gary Barnes|1053681}}, released, results included
 +
{{HistC|2024-09-02|1-1000000|Gary Barnes|1052930}}, double-check {{Rn|1|50000}}, results included
 
{{HistR|2024-08-30|Gary Barnes|1052678}} for {{Rn|1|1000000}}
 
{{HistR|2024-08-30|Gary Barnes|1052678}} for {{Rn|1|1000000}}
 
{{HistC|2024-08-30|1-50000|Karsten Bonath}}
 
{{HistC|2024-08-30|1-50000|Karsten Bonath}}

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