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Line 1: Line 1:
{{Last update|2019-03-28}}
 
 
{{Riesel prime
 
{{Riesel prime
 
|Rk=15
 
|Rk=15
 +
|Rb=2
 +
|RCount=58
 
|RNash=2221
 
|RNash=2221
|RMaxn=5500000
+
|RMaxn=7000000
|RDate=2018-04-11
+
|RDate=2024-09-02
|RReserved=RPS
+
|RReserved=
 
|RNlist=
 
|RNlist=
 
1;T:ST
 
1;T:ST
2;T:ST
+
2;T:T
4;T:ST
+
4;T:ST;C:{{NWi|MM|16|1}}
5;T:S
+
5
 
10;T:T
 
10;T:T
14;C:Near Woodall: (14+1)*2^14-1
+
14;C:{{NWo|+|14}}
 
17
 
17
31;T:W;C:30*2^30-1
+
31;T:W;C:{{NWo|30}}
 
41
 
41
 
73
 
73
80
+
80;C:{{NWi|MM|16|20}}
 
82
 
82
116
+
116;C:{{NWi|MM|16|29}}
 
125
 
125
 
145
 
145
 
157
 
157
172
+
172;C:{{NWi|MM|16|43}}
 
202
 
202
224
+
224;C:{{NWi|MM|16|56}}
 
266
 
266
 
289
 
289
 
293
 
293
 
463
 
463
1004
+
1004;C:{{NWi|MM|16|251}}
 
1246
 
1246
 
2066
 
2066
Line 46: Line 47:
 
83669;6790
 
83669;6790
 
91457;5904
 
91457;5904
103940
+
103940;C:{{NWi|MM|16|25985}}
 
104177
 
104177
108124
+
108124;C:{{NWi|MM|16|27031}}
 
115327;64310
 
115327;64310
 
161453;69688
 
161453;69688
 
172714;69689
 
172714;69689
 
454681;70347
 
454681;70347
568780;73554
+
568780;73554;C:{{NWi|MM|16|142195}}
656264;74521
+
656264;74521;C:{{NWi|MM|16|164066}}
 
712294;75333
 
712294;75333
 
902474;77203
 
902474;77203
Line 62: Line 63:
 
2323205;100775
 
2323205;100775
 
3668194;115978
 
3668194;115978
|RRemarks=[https://www.mersenneforum.org/showthread.php?p=86959#post86959 Forum thread] at [[MersenneForum]]
+
6429089;132808
 +
6993631;132645
 +
9482269;138402
 +
|RRemarks=The {{OEIS|l|A002237}}<br>See also {{NWi|MM|16|n}}
 
}}
 
}}
[[Category:Riesel prime|#.....00015]]
+
==History==
 +
{{HistC|2024-09-02|8-400000 only {{Vn}} ≡ 0 mod 4|Mark Rodenkirch|1052874}}, double-check, released
 +
{{HistR|2024-08-22|Mark Rodenkirch|903884}} for {{Rn|8|400000}} '''only {{Vn}} ≡ 0 mod 4''', double-check
 +
{{HistF|2024-08-14|9482269|Ryan Propper}}
 +
{{HistC|2024-06-13|6000000-7000000|Ryan Propper|659284}}
 +
{{HistC|2021-11-20|1908000-1967597, 2062945-6134000|RPS Drive K15|593517}}, released
 +
{{HistF|2021-10-08|6429089|Ryan Propper|589973}}
 +
{{HistF|2021-08-25|6993631|Ryan Propper|587361}}
 +
{{HistC|2021-03-21|1-1000000|Gary Barnes|574248}}, double check, results included
 +
{{HistF|2013-10-15|3668194|Ivica Kelava,RPS Drive K15|356337}}
 +
{{HistF|2011-07-11|2323205|Thomas Ritschel,RPS Drive K15|266073}}
 +
{{HistC|2010-01-03|1880000-1908000|RPS Drive K15|200731}}
 +
{{HistC|2009-02-13|1000000-1880000|RPS Drive K15|162649}}
 +
{{HistC|2009-01-09|1967597-2062945|Peter Benson|157761}}
 +
{{HistC|2009-01-09|950000-1045993, 1140017-1196900|Peter Benson|157761}} ( {{Rn|1000000|1045993}} & {{Rn|1140017|1196900}} also done by [[RPS Drive K15]] )
 +
{{HistF|2008-12-16|1837873|Even Stokkedalen,RPS Drive K15|153579}}
 +
{{HistF|2007-01-05|1344313|David Metcalfe,RPS Drive K15|95377}}
 +
{{HistF|2006-09-28|1084010|David Metcalfe,RPS Drive K15|88095}}
 +
{{HistR|2006-09-12|RPS Drive K15|86959}} from {{Rn|1000000|1000000}}
 +
{{HistF|2006-03-02|902474|Robert Smith|74336}}
 +
{{HistF|2005-08-12|712294|Robert Smith|58921}}
 +
{{HistF|2005-05-17|656264|Robert Smith|54546}}
 +
{{HistC|2005-03-29|505000-620000|Robert Smith|52415}}
 +
{{HistF|2005-02-27|568780|Robert Smith|50642}}
 +
{{HistC|2004-09-06|475000-505000|Robert Smith|39937}}
 +
{{HistC|2004-06-03|340000-475000|Robert Smith|32439}}
 +
{{HistF|2004-05-13|454681|Robert Smith|28886}}
 +
{{HistC|2004-04-15|340000|Robert Smith|26273}}
 +
{{HistF|2004-03-30|172714|Robert Smith|24862}}
 +
{{HistF|2004-03-30|161453|Robert Smith|24862}}
 +
{{HistF|2003-04-07|115327|Steven Harvey}}
 +
{{HistF|1999-08-09|91457|Michael J. Graef}}
 +
{{HistF|1999-07-08|83669|Michael J. Graef}}
 +
{{HistF|1999-07-07|83263|Michael J. Graef}}
 +
{{HistF|1999-06-29|60622|Michael J. Graef}}
 +
{{HistF|1999-06-03|41054|Michael J. Graef}}
 +
{{HistF|1999-06-03|40742|Michael J. Graef}}
 +
{{HistF|1998-08-09|21962|Wilfrid Keller}}
 +
{{HistF|1998-08-08|21727|Wilfrid Keller}}
 +
{{HistF|1994|7613|Harvey Dubner}}

Latest revision as of 17:01, 7 September 2024

Current data

k , b : 15 , 2
Type : 315
Count : 58
Nash : 2221
Max n : 7,000,000
Date : 2024-09-02
1[1], 2[2], 4[3], 5, 10[4], 14[5], 17, 31[6], 41, 73, 80[7], 82, 116[8], 125, 145, 157, 172[9], 202, 224[10], 266, 289, 293, 463, 1004[11], 1246, 2066, 2431, 2705, 4622, 5270, 7613, 21727, 21962, 40742, 41054, 60622, 83263, 83669, 91457, 103940[12], 104177, 108124[13], 115327, 161453, 172714, 454681, 568780[14], 656264[15], 712294, 902474, 1084010, 1344313, 1837873, 2323205, 3668194, 6429089, 6993631, 9482269
Remarks :
The sequence A002237 in OEIS
See also Williams 15•16n-1

Notes

History