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 2 66741"

From Prime-Wiki
Jump to: navigation, search
(new)
 
(the Liskovets-Gallot conjecture for this one has been proved (adding "odd k", otherwise 2*9267 has unknown status))
 
(3 intermediate revisions by one other user not shown)
Line 1: Line 1:
 
{{Proth prime
 
{{Proth prime
 
|Pk=66741
 
|Pk=66741
 +
|Pb=2
 +
|PCount=9
 
|PNash=811
 
|PNash=811
 
|PMaxn=50000
 
|PMaxn=50000
Line 16: Line 18:
 
3767
 
3767
 
6837
 
6837
|PRemarks=This k-value seems the smallest k ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an even ''n''. See [[Liskovets-Gallot conjectures]].
+
|PRemarks=This {{Vk}}-value was proved in 2015 to be the smallest odd {{Vk}} ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an even {{Vn}}. See [[Liskovets-Gallot conjectures]].
 
}}
 
}}
 
==History==
 
==History==
 
{{HistC|2020-07-05|50000|Karsten Bonath}}
 
{{HistC|2020-07-05|50000|Karsten Bonath}}

Latest revision as of 09:17, 10 May 2024

Current data

k , b : 66741 , 2
Type : 3Low
Count : 9
Nash : 811
Max n : 50,000
Date : 2020-07-05
5, 51, 95, 117, 237[1], 357, 2231, 3767, 6837
Remarks :
This k-value was proved in 2015 to be the smallest odd k ≡ 0 mod 3 for which k•2n+1 is never prime for an even n. See Liskovets-Gallot conjectures.

Notes

  1. Twin n=237

History