Difference between revisions of "Riesel prime 2 17"

Latest revision as of 17:08, 7 September 2024

Current data

`k` , `b` :	17 , 2
Count :	43
Nash :	2416
Max `n` :	5,000,000
Date :	2024-09-02

2, 4^[1], 6, 16^[2], 20^[3], 36^[4], 54, 60^[5], 96^[6], 124^[7], 150, 252^[8], 356^[9], 460^[10], 612^[11], 654, 664^[12], 698, 702, 972^[13], 1188^[14], 1312^[15], 3062, 4214, 4288^[16], 5280^[17], 9100^[18], 20262, 21676^[19], 24828^[20], 46144^[21], 62148^[22], 79974, 117784^[23], 211464^[24], 310744^[25], 310754, 429318, 601158, 605394, 2721830, 2946584^[26], 4107544^[27]

Remarks :

The sequence A001774 in OEIS
See also Williams 17•16ⁿ-1

Notes

History

2024-09-02: Checked n = 8 - 400000 only n ≡ 0 mod 4, Mark Rodenkirch, double-check, released
2024-08-22: Reserved by Mark Rodenkirch for n = 8 - 400000 only n ≡ 0 mod 4, double-check
2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
2015-07-12: Checked n = 2200000 - 5000000, RPS Drive K17
2015-06-30: Found n = 4107544, Serge Batalov, RPS Drive K17
2013-05-20: Found n = 2946584, Predrag Kurtovic, RPS Drive K17
2010-10-17: Found n = 2721830, Dmitry Domanov, RPS Drive K17
2010-01-03: Checked n = 1940000 - 1967592, 2052604 - 2200000, RPS Drive K17
2009-02-13: Checked n = 205000 - 1940000, RPS Drive K17
2009-01-09: Checked n = 1652076 - 1756058, 1967592 - 2052604, Peter Benson ( n = 1652076 - 1756058 also done by RPS Drive K17 )
2009-01-09: Checked n = 950000 - 1040815, 1140004 - 1191054, 1430012 - 1454792, 1455136 - 1480572, Peter Benson ( all ranges also done by RPS Drive K17 )
2006-09-22: 601158 confirmed, Predrag Minovic, RPS Drive K17
2006-09-19: Found n = 605394, Alexandre de Pereyra, RPS Drive K17
2006-08-08: 429318 confirmed, Tony Galvan, RPS Drive K17
2006-05-19: 310754 confirmed, Predrag Minovic, RPS Drive K17
2006-05-19: 310744 confirmed, Predrag Minovic, RPS Drive K17
2006-05-08: 211464 confirmed, Predrag Minovic, RPS Drive K17
2006-05-03: Reserved by RPS Drive K17 from n = 205000
2004-05-25: Checked n = 1 - 205034, Andrew Walker, released
2004-05-18: Found n = 601158, Peter Grobstich
2004-05-09: Reserved by Andrew Walker
2003-11-24: Found n = 429318, Peter Grobstich
2003-08-22: Found n = 310754, Peter Grobstich
2003-08-22: Found n = 310744, Peter Grobstich
2003-07-25: Found n = 211464, Peter Grobstich
2003-04-08: Found n = 117784, Steven Harvey
1999-07-02: Found n = 62148, Michael J. Graef
1999-06-08: Found n = 46144, Michael J. Graef
1998-08-09: Found n = 24828, Wilfrid Keller
1998-08-08: Found n = 21676, Wilfrid Keller
1998-08-06: Found n = 20262, Wilfrid Keller

[1] Williams 17•16¹-1

[2] Near Woodall 17•2¹⁶-1, Williams 17•16⁴-1

[3] Williams 17•16⁵-1

[4] Near Woodall 34•2³⁵-1, Williams 17•16⁹-1

[5] Williams 17•16¹⁵-1

[6] Williams 17•16²⁴-1

[7] Williams 17•16³¹-1

[8] Williams 17•16⁶³-1

[9] Williams 17•16⁸⁹-1

[10] Williams 17•16¹¹⁵-1

[11] Williams 17•16¹⁵³-1

[12] Williams 17•16¹⁶⁶-1

[13] Williams 17•16²⁴³-1

[14] Williams 17•16²⁹⁷-1

[15] Williams 17•16³²⁸-1

[16] Williams 17•16¹⁰⁷²-1

[17] Williams 17•16¹³²⁰-1

[18] Williams 17•16²²⁷⁵-1

[19] Williams 17•16⁵⁴¹⁹-1

[20] Williams 17•16⁶²⁰⁷-1

[21] Williams 17•16¹¹⁵³⁶-1

[22] Williams 17•16¹⁵⁵³⁷-1

[23] Williams 17•16²⁹⁴⁴⁶-1

[24] Williams 17•16⁵²⁸⁶⁶-1

[25] Williams 17•16⁷⁷⁶⁸⁶-1

[26] Williams 17•16⁷³⁶⁶⁴⁶-1

[27] Williams 17•16^1026886-1

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

[25]

[26]

[27]

@@ Line 1: / Line 1: @@
 {{Riesel prime
 |Rk=17
+|Rb=2
 |RCount=43
 |RNash=2416
 |RMaxn=5000000
-|RDate=2015-07-12
+|RDate=2024-09-02
 |RReserved=
 |RNlist=
+;C:{{NWi|PM|16|1}}
-;C:{{NWo|+|16}}
+;C:{{NWo|+|16}}, {{NWi|PM|16|4}}
+;C:{{NWi|PM|16|5}}
-;C:{{NWo|-|35}}
+;C:{{NWo|-|35}}, {{NWi|PM|16|9}}
+;C:{{NWi|PM|16|15}}
+;C:{{NWi|PM|16|24}}
+;C:{{NWi|PM|16|31}}
+;C:{{NWi|PM|16|63}}
+;C:{{NWi|PM|16|89}}
+;C:{{NWi|PM|16|115}}
+;C:{{NWi|PM|16|153}}
+;C:{{NWi|PM|16|166}}
+;C:{{NWi|PM|16|243}}
+;C:{{NWi|PM|16|297}}
+;C:{{NWi|PM|16|328}}
+;C:{{NWi|PM|16|1072}}
+;C:{{NWi|PM|16|1320}}
+;C:{{NWi|PM|16|2275}}
 ;22515
-;22028
+;22028;C:{{NWi|PM|16|5419}}
-;20263
+;20263;C:{{NWi|PM|16|6207}}
-;13467
+;13467;C:{{NWi|PM|16|11536}}
-;9976
+;9976;C:{{NWi|PM|16|15537}}
-;64321
+;64321;C:{{NWi|PM|16|29446}}
-;65643
+;65643;C:{{NWi|PM|16|52866}}
-;66011
+;66011;C:{{NWi|PM|16|77686}}
 ;66012
 ;67368
@@ Line 48: / Line 49: @@
 ;78525
 2721830;95467
-2946584;114194
+2946584;114194;C:{{NWi|PM|16|736646}}
-4107544;120053
+4107544;120053;C:{{NWi|PM|16|1026886}}
-|RRemarks=[https://www.mersenneforum.org/showthread.php?t=5813 Thread] at [[MersenneForum]].
+|RRemarks=The {{OEIS|l|A001774}}<br>See also {{NWi|PM|16|n}}
 }}
 ==History==
-*Reservation and state not clear by now
+{{HistC|2024-09-02|8-400000 only {{Vn}} ≡ 0 mod 4|Mark Rodenkirch|1052874}}, double-check, released
-{{HistF|2015-06-30|4107544|Serge Batalov}}
+{{HistR|2024-08-22|Mark Rodenkirch|903884}} for {{Rn|8|400000}} '''only {{Vn}} ≡ 0 mod 4''', double-check
-{{HistF|2013-05-20|2946584|Predrag Kurtovic|341006}}
+{{HistC|2021-03-21|1-1000000|Gary Barnes|574248}}, double check, results included
-{{HistF|2010-10-17|2721830|Dmitry Domanov}}
+{{HistC|2015-07-12|2200000-5000000|RPS Drive K17|549079}}
-{{HistC|2010-01-03|2200000|Predrag Minovic|200731}}
+{{HistF|2015-06-30|4107544|Serge Batalov,RPS Drive K17|405069}}
-{{HistC|2009-02-13|1940000|Predrag Minovic|162649}}
+{{HistF|2013-05-20|2946584|Predrag Kurtovic,RPS Drive K17|341006}}
-{{HistF|2006-09-19|605394|Alexandre de Pereyra}}
+{{HistF|2010-10-17|2721830|Dmitry Domanov,RPS Drive K17|233641}}
+{{HistC|2010-01-03|1940000-1967592, 2052604-2200000|RPS Drive K17|200731}}
+{{HistC|2009-02-13|205000-1940000|RPS Drive K17|162649}}
+{{HistC|2009-01-09|1652076-1756058, 1967592-2052604|Peter Benson|157761}} ( {{Rn|1652076|1756058}} also done by [[RPS Drive K17]] )
+{{HistC|2009-01-09|950000-1040815, 1140004-1191054, 1430012-1454792, 1455136-1480572|Peter Benson|157761}} ( all ranges also done by [[RPS Drive K17]] )
+{{HistC|2006-09-22|'''601158''' confirmed|Predrag Minovic,RPS Drive K17|87712}}
+{{HistF|2006-09-19|605394|Alexandre de Pereyra,RPS Drive K17|87529}}
+{{HistC|2006-08-08|'''429318''' confirmed|Tony Galvan,RPS Drive K17|84738}}
+{{HistC|2006-05-19|'''310754''' confirmed|Predrag Minovic,RPS Drive K17|80626}}
+{{HistC|2006-05-19|'''310744''' confirmed|Predrag Minovic,RPS Drive K17|80626}}
+{{HistC|2006-05-08|'''211464''' confirmed|Predrag Minovic,RPS Drive K17|79734}}
+{{HistR|2006-05-03|RPS Drive K17|79167}} from {{Rn|205000|205000}}
+{{HistC|2004-05-25|1-205034|Andrew Walker|30702}}, released
 {{HistF|2004-05-18|601158|Peter Grobstich}}
+{{HistR|2004-05-09|Andrew Walker|28368}}
 {{HistF|2003-11-24|429318|Peter Grobstich}}
 {{HistF|2003-08-22|310754|Peter Grobstich}}

Difference between revisions of "Riesel prime 2 17"

Latest revision as of 17:08, 7 September 2024

Current data

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