Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Proth prime 3 2"

From Prime-Wiki
Jump to: navigation, search
(n=11879700)
(Maxn)
Line 4: Line 4:
 
|PCount=48
 
|PCount=48
 
|PNash=2729
 
|PNash=2729
|PMaxn=0
+
|PMaxn=50000
 
|PDate=2024-06-22
 
|PDate=2024-06-22
 
|PReserved=
 
|PReserved=
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}}<br>{{C|red|No reliable search limit available!}}
+
|PRemarks=The {{OEIS|l|A003306}}, see also {{NWi|MP|3|n}}.
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2024-08-30|1-50000|Karsten Bonath}}
 
{{HistF|2024-06-22|11879700|Ryan Propper}}
 
{{HistF|2024-06-22|11879700|Ryan Propper}}
 
{{HistF|2023-01-08|10852677|Ryan Propper}}
 
{{HistF|2023-01-08|10852677|Ryan Propper}}

Revision as of 09:24, 30 August 2024

Current data

k , b : 2 , 3
Count : 48
Nash : 2729
Max n : 50,000
Date : 2024-06-22
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. Divides Phi(3^1,2)
  2. Cullen 2•32+1
  3. Cullen 2•92+1
  4. Divides Phi(3^5,2)
  5. Cullen 2•272+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