Difference between revisions of "Riesel prime 2 9"

Latest revision as of 06:35, 13 April 2025

Reserved! This sequence is currently reserved by: Dmitry Domanov

Current data

`k` , `b` :	9 , 2
Type :	3
Count :	48
Nash :	1674
Max `n` :	7,800,000
Date :	2024-08-10
Reserved :	Dmitry DomanovDmitry Domanov/Reserved

1^[1], 3^[2], 7^[3], 13, 15^[4], 21^[5], 43^[6], 63^[7], 99^[8], 109^[9], 159^[10], 211^[11], 309^[12], 343^[13], 415, 469, 781, 871, 939^[14], 1551^[15], 3115, 3349, 5589^[16], 5815, 5893, 7939, 8007^[17], 11547^[18], 12495^[19], 22555, 23647, 35647, 83415^[20], 103059^[21], 184999, 275859^[22], 384243^[23], 484975, 503893, 828709, 1010277^[24], 1419855^[25], 1481821, 2060941, 3259381, 4005979, 4683555^[26], 7479919

Remarks :

The sequence A002236 in OEIS
See also Williams 9•8ⁿ-1

Notes

History

2024-08-10: Checked n = 6500000 - 7800000, Dmitry Domanov
2023-06-04: Found n = 7479919, Dmitry Domanov
2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
2020-10-29: Checked n = 6350000 - 6500000, Dmitry Domanov
2020-08-23: Checked n = 6000000 - 6350000, Dmitry Domanov
2020-03-11: none, Dmitry Domanov
2015-11-03: Checked n = 5700000 - 6000000, Dmitry Domanov
2015-05-06: Checked n = 5220000 - 5700000, Dmitry Domanov
2014-12-24: Checked n = 5000000 - 5220000, Dmitry Domanov
2014-09-29: Reserved by Dmitry Domanov for n = 5000000 - 6000000
2013-01-07: Checked n = 4000000 - 5000000, Peter Benson
2012-12-24: Found n = 4683555, Peter Benson
2012-11-17: Found n = 4005979, Peter Benson
2012-11-17: Reserved by Peter Benson from n = 4000000
2012-03-17: Checked n = 3000000 - 4000000, Peter Benson
2011-11-27: Found n = 3259381, Peter Benson
2011-11-01: Reserved by Peter Benson from n = 3000000
2011-06-02: Checked n = 2106000 - 3000000, Peter Benson
2011-04-05: Reserved by Peter Benson
2010-12-23: Checked n = 2105191 - 2106000, Predrag Minovic
2010-12-23: Checked n = 1840000 - 1968000, Larry Soule
2010-10-31: Checked n = 1814000 - 1840000, Predrag Minovic
2010-09-05: Checked n = 1610000 - 1652067, 1810159 - 1814000, Predrag Minovic
2010-07-18: Checked n = 1570000 - 1610000, Predrag Minovic
2010-06-05: Checked n = 1540000 - 1570000, Predrag Minovic
2010-04-11: Checked n = 1530000 - 1540000, Predrag Minovic
2010-02-11: Checked n = 1520000 - 1530000, Predrag Minovic
2009-12-05: Checked n = 1415000 - 1430023, 1454791 - 1455171, 1518147 - 1520000, Predrag Minovic
2009-11-24: Found n = 1419855, Predrag Minovic
2009-11-20: Checked n = 1414000 - 1415000, Predrag Minovic
2009-11-03: Checked n = 1350000 - 1375000, 1400000 - 1414000, Adam Sutton
2009-11-03: Checked n = 1375000 - 1400000, Predrag Minovic
2009-07-26: Checked to n = 1330000, Adam Sutton ?, See limit at RPS other completed ranges.
2009-01-18: Checked n = 3499107 - 3563355, Peter Benson
2009-01-10: Checked n = 1330000 - 1430000?, Adam Sutton
2009-01-09: Checked n = 1430023 - 1454791, 1455171 - 1518147, 1652067 - 1810159, 1967643 - 2105191, 2366487 - 2406243, Peter Benson
2009-01-09: Checked n = 950000 - 1067108, 1140015 - 1221087, Peter Benson
2008-08-27: Found n = 2060941, Peter Benson
2008-04-12: Found n = 1481821, Peter Benson
2008-02-29: Checked n = 850000 - 1200000, Adam Sutton
2008-02-01: Reserved by Adam Sutton from n = 1000000
2007-11-15: Found n = 1010277, Peter Benson
2007-04-07: Checked n = 801000 - 850000, Jeffrey Sax
2005-02-03: Found n = 828709, Jeffrey Sax
2005-01-16: Checked n = 744000 - 801000, Jeffrey Sax
2004-11-28: Checked to n = 744000, Jeffrey Sax
2004-07-24: Found n = 503893, Jeffrey Sax
2004-07-14: Found n = 484975, Jeffrey Sax
2004-06-13: Found n = 384243, Jeffrey Sax
2004-05-23: Found n = 275859, Jeffrey Sax
2004-04-07: Checked n = 1 - 250000, James P. Burt
2004-04-04: Checked n = 191500 - 225000, James P. Burt
2004-03-31: Reserved by James P. Burt for sieving only n = 191500 - 1000000
2000-04-03: Found n = 184999, Ingo Buechel, Wilfrid Keller
1999-02-14: Found n = 103059, Ingo Buechel, Wilfrid Keller
1999-01-15: Found n = 83415, Ingo Buechel, Wilfrid Keller
1998-06-16: Found n = 23647, Wilfrid Keller
1998-06-16: Found n = 22555, Wilfrid Keller
1989: Found n = 35647, Sergio Zarantonello, Joel Smith, Gene Smith, Bodo Parady, Landon Curt Noll, John Brown
1981: Found n = 12495, Anders Björn, Hans Riesel
1980: Found n = 8007, Jurgen Buhl, Walter Borho
1980: Found n = 7939, Jurgen Buhl, Walter Borho
1980: Found n = 5893, Jurgen Buhl, Walter Borho
1980: Found n = 5815, Jurgen Buhl, Walter Borho
1980: Found n = 5589, Jurgen Buhl, Walter Borho
1980: Found n = 3349, Jurgen Buhl, Walter Borho
1979: Found n = 11547, Jurgen Buhl, Walter Borho

[1] Twin n=1

[2] Twin n=3, Williams 9•8¹-1

[3] Twin n=7

[4] Williams 9•8⁵-1

[5] Williams 9•8⁷-1

[6] Twin n=43

[7] Twin n=63, Woodall 9•128⁹-1, Williams 9•8²¹-1

[8] Woodall 9•2048⁹-1, Williams 9•8³³-1

[9] Woodall 18•64¹⁸-1

[10] Williams 9•8⁵³-1

[11] Twin n=211

[12] Williams 9•8¹⁰³-1

[13] Woodall 18•524288¹⁸-1

[14] Woodall 72•8192⁷²-1, Williams 9•8³¹³-1

[15] Williams 9•8⁵¹⁷-1

[16] Williams 9•8¹⁸⁶³-1

[17] Williams 9•8²⁶⁶⁹-1

[18] Williams 9•8³⁸⁴⁹-1

[19] Williams 9•8⁴¹⁶⁵-1

[20] Williams 9•8²⁷⁸⁰⁵-1

[21] Williams 9•8³⁴³⁵³-1

[22] Williams 9•8⁹¹⁹⁵³-1

[23] Williams 9•8¹²⁸⁰⁸¹-1

[24] Williams 9•8³³⁶⁷⁵⁹-1

[25] Williams 9•8⁴⁷³²⁸⁵-1

[26] Williams 9•8^1561185-1

[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]

@@ Line 26: / Line 26: @@
-;C:{{NWi|PM|8|313}}
+;C:{{NWo|8192|72}}, {{NWi|PM|8|313}}
 ;C:{{NWi|PM|8|517}}
@@ Line 59: / Line 59: @@
 }}
 ==History==
-{{HistC|2024-08-10|7800000|Dmitry Domanov|664817}}
+{{HistC|2024-08-10|6500000-7800000|Dmitry Domanov|900102}}
-{{HistF|2023-06-04|7479919|Dmitry Domanov|631800}}
+{{HistF|2023-06-04|7479919|Dmitry Domanov|856395}}
-{{HistC|2021-03-21|1-1000000|Gary Barnes|574248}}, double check, results included
+{{HistC|2021-03-21|1-1000000|Gary Barnes|776590}}, double check, results included
-{{HistC|2020-10-29|6500000|Dmitry Domanov|561492}}
+{{HistC|2020-10-29|6350000-6500000|Dmitry Domanov|759516}}
-{{HistC|2020-08-23|6350000|Dmitry Domanov|554754}}
+{{HistC|2020-08-23|6000000-6350000|Dmitry Domanov|750639}}
-{{HistC|2020-03-11|6000000|Dmitry Domanov|539375}}
+{{HistC|2020-03-11|none|Dmitry Domanov|728542}}
-{{HistC|2015-11-03|6000000|Dmitry Domanov|414800}}
+{{HistC|2015-11-03|5700000-6000000|Dmitry Domanov|M#560527}}
-{{HistC|2015-05-06|5700000|Dmitry Domanov|401836}}
+{{HistC|2015-05-06|5220000-5700000|Dmitry Domanov|M#540781}}
-{{HistC|2014-12-24|5220000|Dmitry Domanov|390829}}
+{{HistC|2014-12-24|5000000-5220000|Dmitry Domanov|M#527785}}
-{{HistR|2014-09-29|Dmitry Domanov|384078}} for {{Vn}}=5000000-6000000
+{{HistR|2014-09-29|Dmitry Domanov|M#518878}} for {{Rn|5000000|6000000}}
-{{HistC|2013-01-07|5000000|Peter Benson|323917}}
+{{HistC|2013-01-07|4000000-5000000|Peter Benson|M#433640}}
-{{HistF|2012-12-24|4683555|Peter Benson|322562}}
+{{HistF|2012-12-24|4683555|Peter Benson|M#432462}}
-{{HistF|2012-11-17|4005979|Peter Benson|318731}}
+{{HistF|2012-11-17|4005979|Peter Benson|M#429122}}
-{{HistR|2012-11-17|Peter Benson|318691}} from {{Vn}}=4000000
+{{HistR|2012-11-17|Peter Benson|M#429091}} from {{Rn|4000000|4000000}}
-{{HistC|2012-03-17|4000000|Peter Benson|293312}}
+{{HistC|2012-03-17|3000000-4000000|Peter Benson|M#392706}}
-{{HistF|2011-11-27|3259381|Peter Benson|280094}}
+{{HistF|2011-11-27|3259381|Peter Benson|M#375083}}
-{{HistR|2011-11-01|Peter Benson|276609}} from {{Vn}}=3000000
+{{HistR|2011-11-01|Peter Benson|M#371857}} from {{Rn|3000000|3000000}}
-{{HistC|2011-06-02|3000000|Peter Benson|262867}}
+{{HistC|2011-06-02|2106000-3000000|Peter Benson|M#351234}}
-{{HistR|2011-04-05|Peter Benson|257699}}
+{{HistR|2011-04-05|Peter Benson|M#343328}}
-{{HistC|2010-12-23|2105192?-2106000|Predrag Minovic|243040}}
+{{HistC|2010-12-23|2105191-2106000|Predrag Minovic|M#325014}}
-{{HistC|2010-12-23|1840000-1968000|Larry Soule|243040}}
+{{HistC|2010-12-23|1840000-1968000|Larry Soule|M#325014}}
-{{HistC|2010-10-31|1840000|Predrag Minovic|235044}}
+{{HistC|2010-10-31|1814000-1840000|Predrag Minovic|M#314947}}
-{{HistC|2010-09-05|1814000|Predrag Minovic|228523}}
+{{HistC|2010-09-05|1610000-1652067, 1810159-1814000|Predrag Minovic|M#306292}}
-{{HistC|2010-07-18|1610000|Predrag Minovic|221839}}
+{{HistC|2010-07-18|1570000-1610000|Predrag Minovic|M#294494}}
-{{HistC|2010-06-05|1570000|Predrag Minovic|217484}}
+{{HistC|2010-06-05|1540000-1570000|Predrag Minovic|M#290620}}
-{{HistC|2010-04-11|1540000|Predrag Minovic|211346}}
+{{HistC|2010-04-11|1530000-1540000|Predrag Minovic|M#282462}}
-{{HistC|2010-02-11|1530000|Predrag Minovic|205283}}
+{{HistC|2010-02-11|1520000-1530000|Predrag Minovic|M#274222}}
-{{HistC|2009-12-05|1520000|Predrag Minovic|197850}}
+{{HistC|2009-12-05|1415000-1430023, 1454791-1455171, 1518147-1520000|Predrag Minovic|M#261906}}
-{{HistF|2009-11-24|1419855|Predrag Minovic|196870}}
+{{HistF|2009-11-24|1419855|Predrag Minovic|M#261019}}
-{{HistC|2009-11-20|1415000|Predrag Minovic|196466}}
+{{HistC|2009-11-20|1414000-1415000|Predrag Minovic|M#260649}}
-{{HistC|2009-11-03|1350000-1375000, 1400000-1414000|Adam Sutton|194611}}
+{{HistC|2009-11-03|1350000-1375000, 1400000-1414000|Adam Sutton|M#259055}}
-{{HistC|2009-11-03|1221088?-1350000, 1375000-1400000|Predrag Minovic|194611}}
+{{HistC|2009-11-03|1375000-1400000|Predrag Minovic|M#259055}}
-{{HistC|2009-01-18|3499107-3563355|Peter Benson|159287}}
+{{HistC|2009-07-26|1330000|Adam Sutton}} ?, See limit at [https://web.archive.org/web/20160325141416/http://www.15k.org/RPSotherRanges.html RPS other completed ranges].
-{{HistC|2009-01-10|1330000?-1430000?|Adam Sutton|157929}}
+{{HistC|2009-01-18|3499107-3563355|Peter Benson|M#210303}}
-{{HistC|2009-01-09|1430023-1454791, 1455171-1518147, 1652067-1810159, 1967643-2105191, 2366487-2406243|Peter Benson|157761}}
+{{HistC|2009-01-10|1330000-1430000?|Adam Sutton|M#209145}}
-{{HistC|2009-01-09|950000-1067108, 1140015-1221087|Peter Benson|157761}}
+{{HistC|2009-01-09|1430023-1454791, 1455171-1518147, 1652067-1810159, 1967643-2105191, 2366487-2406243|Peter Benson|M#209004}}
-{{HistF|2008-08-27|2060941|Peter Benson|140167}}
+{{HistC|2009-01-09|950000-1067108, 1140015-1221087|Peter Benson|M#209004}}
+{{HistF|2008-08-27|2060941|Peter Benson|M#184868}}
 {{HistF|2008-04-12|1481821|Peter Benson}}
-{{HistC|2008-02-29|850000-1200000|Adam Sutton|127358}}
+{{HistC|2008-02-29|850000-1200000|Adam Sutton|M#167709}}
-{{HistR|2008-02-01|Adam Sutton|124507}} for {{Vn}}>1000000
+{{HistR|2008-02-01|Adam Sutton|M#162252}} from {{Rn|1000000|1000000}}
-{{HistF|2007-11-15|1010277|Peter Benson|118533}}
+{{HistF|2007-11-15|1010277|Peter Benson|M#153940}}
-{{HistC|2007-04-07|850000|Jeffrey Sax|103249}}
+{{HistC|2007-04-07|801000-850000|Jeffrey Sax|M#134748}}
-{{HistF|2005-02-03|828709|Jeffrey Sax|49282}}
+{{HistF|2005-02-03|828709|Jeffrey Sax|M#64894}}
-{{HistC|2005-01-16|801000|Jeffrey Sax|48145}}
+{{HistC|2005-01-16|744000-801000|Jeffrey Sax|M#64232}}
-{{HistC|2004-11-28|744000|Jeffrey Sax|45397}}
+{{HistC|2004-11-28|744000|Jeffrey Sax|M#61680}}
 {{HistF|2004-07-24|503893|Jeffrey Sax}}
 {{HistF|2004-07-14|484975|Jeffrey Sax}}
 {{HistF|2004-06-13|384243|Jeffrey Sax}}
 {{HistF|2004-05-23|275859|Jeffrey Sax}}
+{{HistC|2004-04-07|1-250000|James P. Burt|M#48448}}
+{{HistC|2004-04-04|191500-225000|James P. Burt|M#48293}}
+{{HistR|2004-03-31|James P. Burt|M#48207}} for sieving only {{Rn|191500|1000000}}
 {{HistF|2000-04-03|184999|Ingo Buechel,Wilfrid Keller}}
 {{HistF|1999-02-14|103059|Ingo Buechel,Wilfrid Keller}}

Difference between revisions of "Riesel prime 2 9"

Latest revision as of 06:35, 13 April 2025

Current data

Notes

History

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