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{{Last update|2019-04-14}}
 
 
{{Williams prime
 
{{Williams prime
 
|WiBase=3
 
|WiBase=3
|WiMaxn=1840000
+
|WiMaxn={{GP|Riesel prime 3 2|RMaxn}}
|WiDate=2019-03-01
+
|WiDate={{GP|Riesel prime 3 2|RDate}}
|WiReserved=Borys Jaworski
+
|WiNlist={{Reuse Primelist|Riesel prime 3 2|RNlist|1}}
|WiNlist=
+
|WiRemarks={{C|red|<b>!!!DO NOT RESERVE!!!</b>}} This list is a reuse of {{NRi|2|3|n}}.
1
 
2
 
3
 
7
 
8
 
12
 
20
 
23
 
27
 
35
 
56
 
62
 
68
 
131
 
222
 
384
 
387
 
579
 
644
 
1772
 
3751
 
5270
 
6335
 
8544
 
9204
 
12312
 
18806
 
21114
 
49340;7793
 
75551;2740
 
90012;1417
 
128295;65213
 
143552;71281
 
147488;71299
 
1010743;101433
 
1063844;104556
 
1360104;120178
 
 
}}
 
}}
==History==
 
*2015-07-31: Found n = 1360104, Borys Jaworski, [[Riesel Prime Search]]
 
*2012-02-12: Found n = 1063844, Borys Jaworski, [[Riesel Prime Search]]
 
*2011-09-01: Found n = 1010743, Borys Jaworski, [[Riesel Prime Search]]
 
*2009-04-12: Checked n to 570000, David Broadhurst
 
*2009-03-09: Checked n = 189000 to 400000, David Broadhurst
 
*2004-08-15: Found n = 147488, Ingo Buechel, Wilfrid Keller
 
*2004-08-12: Found n = 143552, Ingo Buechel, Wilfrid Keller
 
*2003-06-20: Found n = 128295, Ingo Buechel, Wilfrid Keller
 
*2001-09-28: Found n = 90012, Wilfrid Keller
 
*2001-08-12: Found n = 75551, Wilfrid Keller
 
*2001-06-30: Found n = 49340, Wilfrid Keller
 
*1972: Found n = 1 ... 222, H.C.Williams, C.R.Zarnke
 
 
==External links==
 
*[https://www.mersenneforum.org/showthread.php?t=8765 Active search], last update post #72
 
*The {{OEIS|l|A003307}}
 
*[http://www.ams.org/journals/mcom/1972-26-120/S0025-5718-1972-0314747-X/S0025-5718-1972-0314747-X.pdf H.C.Williams, C.R.Zarnke: "Some prime numbers of the forms 2A3^n+1 and 2A3^n-1"] Math. Comp. 26 (1972), 995-998
 

Latest revision as of 09:56, 16 March 2023

Current data

Base : 3
Count : 37
Max n : 2,000,000
Date : 2021-01-26
1, 2, 3, 7, 8, 12, 20, 23, 27, 35, 56, 62, 68, 131, 222, 384, 387, 579, 644, 1772, 3751, 5270, 6335, 8544, 9204, 12312, 18806, 21114, 49340, 75551, 90012, 128295, 143552, 147488, 1010743, 1063844, 1360104
Remarks :
!!!DO NOT RESERVE!!! This list is a reuse of Riesel 2•3n-1.