Difference between revisions of "Riesel prime 2 3"

Latest revision as of 06:06, 13 October 2024

Reserved! This sequence is currently part of Multi Reservation 22: PrimeGrid 321 Prime Search.

Current data

`k` , `b` :	3 , 2
Type :	3
Count :	67
Nash :	2976
Max `n` :	22,021,811
Date :	2024-10-13
Reserved :	PrimeGridPrimeGrid/Reserved

1^[1], 2^[2], 3^[3], 4^[4], 6^[5], 7^[6], 11, 18^[7], 34^[8], 38^[9], 43^[10], 55^[11], 64^[12], 76^[13], 94^[14], 103^[15], 143, 206^[16], 216^[17], 306^[18], 324^[19], 391^[20], 458^[21], 470^[22], 827, 1274^[23], 3276^[24], 4204^[25], 5134^[26], 7559, 12676^[27], 14898^[28], 18123, 18819, 25690^[29], 26459, 41628^[30], 51387, 71783, 80330^[31], 85687, 88171, 97063, 123630^[32], 155930^[33], 164987, 234760^[34], 414840^[35], 584995, 702038^[36], 727699, 992700^[37], 1201046^[38], 1232255, 2312734^[39], 3136255, 4235414^[40], 6090515, 11484018^[41], 11731850^[42], 11895718^[43], 16819291, 17748034^[44], 18196595, 18924988^[45], 20928756^[46], 22103376^[47]

Remarks :

The sequence A002235 in OEIS
See also Williams 3•2ⁿ-1 & Williams 3•4ⁿ-1

Notes

History

2024-10-01: Found n = 22103376, Piotr Chodzinski, PrimeGrid 321 Prime Search
2023-07-06: Found n = 20928756, Arno Lehmann, PrimeGrid 321 Prime Search (Official announcement)
2022-03-24: Found n = 18924988, Frank Matillek, PrimeGrid 321 Prime Search (Official announcement)
2022-01-18: Found n = 18196595, (Anonymous), PrimeGrid 321 Prime Search (Official announcement)
2021-09-06: Found n = 17748034, Marc Wiseler, PrimeGrid 321 Prime Search (Official announcement)
2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
2021-01-20: Found n = 16819291, Rudi Tapper, PrimeGrid 321 Prime Search (Official announcement)
2015-06-23: Found n = 11895718, Michael Schulz, PrimeGrid 321 Prime Search (Official announcement)
2015-03-13: Found n = 11731850, Karsten Klopffleisch, PrimeGrid 321 Prime Search (Official announcement)
2014-11-22: Found n = 11484018, Serhiy Gushchak, PrimeGrid 321 Prime Search (Official announcement)
2010-04-24: Found n = 6090515, David Mumper, PrimeGrid 321 Prime Search (Official announcement)
2008-03-23: Found n = 4235414, Dylan Bennett, PrimeGrid 321 Prime Search (Official announcement)
2007-03-08: Found n = 3136255, Paul Underwood, 321 Search
2005-12-20: Found n = 2312734, Paul Underwood, 321 Search
2004-08-30: Found n = 1232255, Thomas Ritschel, 321 Search
2004-08-24: Found n = 1201046, Alexandre de Pereyra, 321 Search
2004-05-17: Found n = 992700, Jason Kowzun, 321 Search
2004-01-23: Found n = 727699, Luigi Morelli, 321 Search
2003-11-13: Found n = 702038, Thomas Ritschel, 321 Search
2003-08-20: Found n = 584995, Sergey Kochergin, 321 Search
2003-05-21: Found n = 414840, Paul Jobling, 321 Search
2003-04-10: Found n = 234760, Thomas Ritschel, 321 Search
1999-09-21: Found n = 164987, Ingo Buechel, Wilfrid Keller
1999-07-10: Found n = 155930, Ingo Buechel, Wilfrid Keller
1999-03-01: Found n = 123630, Ingo Buechel, Wilfrid Keller
1999-01-13: Found n = 97063, Ingo Buechel, Wilfrid Keller
1999-01-03: Found n = 88171, Ingo Buechel, Wilfrid Keller
1998-12-31: Found n = 85687, Ingo Buechel, Wilfrid Keller
1998-12-26: Found n = 80330, Ingo Buechel, Wilfrid Keller
1998-12-19: Found n = 71783, Ingo Buechel, Wilfrid Keller
1998-05-28: Found n = 51387, Henri Lifchitz
1998-05-10: Found n = 41628, Henri Lifchitz
1998-04-13: Found n = 25690, Ray Ballinger
1998-04-10: Found n = 18819, Ray Ballinger
1998-04-09: Found n = 18123, Ray Ballinger
1989: Found n = 26459, Sergio Zarantonello, Joel Smith, Gene Smith, Bodo Parady, Landon Curt Noll, John Brown
1980: Found n = 7559, Jurgen Buhl, Walter Borho
1980: Found n = 5134, Jurgen Buhl, Walter Borho
1980: Found n = 4204, Jurgen Buhl, Walter Borho
1979: Found n = 12676, Jurgen Buhl, Walter Borho

[1] Sophie Germain n=1, Twin n=1

[2] Sophie Germain n=2, Twin n=2, Near Woodall 3•2²-1, Williams 3•4¹-1

[3] Sophie Germain n=3, Woodall 3•2³-1

[4] Near Woodall 3•2⁴-1, Williams 3•4²-1

[5] Sophie Germain n=6, Twin n=6, Woodall 3•4³-1, Near Woodall 6•2⁵-1, Williams 3•4³-1

[6] Woodall 6•2⁶-1

[7] Twin n=18, Woodall 3•64³-1, Williams 3•4⁹-1

[8] Williams 3•4¹⁷-1

[9] Woodall 12•8¹²-1, Williams 3•4¹⁹-1

[10] Woodall 6•128⁶-1

[11] Woodall 6•512⁶-1

[12] Williams 3•4³²-1

[13] Williams 3•4³⁸-1

[14] Williams 3•4⁴⁷-1

[15] Woodall 6•131072⁶-1

[16] Woodall 12•131072¹²-1, Williams 3•4¹⁰³-1

[17] Williams 3•4¹⁰⁸-1

[18] Williams 3•4¹⁵³-1

[19] Williams 3•4¹⁶²-1

[20] Woodall 384•2³⁸⁴-1

[21] Williams 3•4²²⁹-1

[22] Williams 3•4²³⁵-1

[23] Williams 3•4⁶³⁷-1

[24] Williams 3•4¹⁶³⁸-1

[25] Williams 3•4²¹⁰²-1

[26] Williams 3•4²⁵⁶⁷-1

[27] Williams 3•4⁶³³⁸-1

[28] Williams 3•4⁷⁴⁴⁹-1

[29] Williams 3•4¹²⁸⁴⁵-1

[30] Williams 3•4²⁰⁸¹⁴-1

[31] Williams 3•4⁴⁰¹⁶⁵-1

[32] Williams 3•4⁶¹⁸¹⁵-1

[33] Williams 3•4⁷⁷⁹⁶⁵-1

[34] Williams 3•4¹¹⁷³⁸⁰-1

[35] Williams 3•4²⁰⁷⁴²⁰-1

[36] Williams 3•4³⁵¹⁰¹⁹-1

[37] Williams 3•4⁴⁹⁶³⁵⁰-1

[38] Williams 3•4⁶⁰⁰⁵²³-1

[39] Williams 3•4^1156367-1

[40] Williams 3•4^2117707-1

[41] Williams 3•4^5742009-1

[42] Williams 3•4^5865925-1

[43] Williams 3•4^5947859-1

[44] Williams 3•4^8874017-1

[45] Williams 3•4^9462494-1

[46] Williams 3•4^10464378-1

[47] Williams 3•4^11051688-1

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[10]

[11]

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[17]

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@@ Line 2: / Line 2: @@
 |Rk=3
 |Rb=2
-|RCount=66
+|RCount=67
 |RNash=2976
 |RMaxn=
@@ Line 11: / Line 11: @@
 ;T:ST
 ;T:ST;C:{{NWo|+|2}}, {{NWi|MM|4|1}}
-;T:SW;C:{{NWo|3}}
+;T:S;C:{{NWo|3}}
 ;C:{{NWo|-|4}}, {{NWi|MM|4|2}}
-;T:ST;C:{{NWo|+|5}}, {{NWi|MM|4|3}}
+;T:ST;C:{{NWo|4|3}}, {{NWo|+|5}}, {{NWi|MM|4|3}}
-;T:W;C:{{NWo|6}}
+;C:{{NWo|6}}
 ;T:T;C:{{NWo|64|3}}, {{NWi|MM|4|9}}
@@ Line 30: / Line 30: @@
 ;C:{{NWi|MM|4|153}}
 ;C:{{NWi|MM|4|162}}
-;T:W;C:{{NWo|384}}
+;C:{{NWo|384}}
 ;C:{{NWi|MM|4|229}}
 ;C:{{NWi|MM|4|235}}
@@ Line 75: / Line 75: @@
 18924988;133776;C:{{NWi|MM|4|9462494}}
 20928756;136240;C:{{NWi|MM|4|10464378}}
-|RRemarks=The {{OEIS|l|A002235}}<br>See also {{NWi|MM|4|n}}
+22103376;138599;C:{{NWi|MM|4|11051688}}
+|RRemarks=The {{OEIS|l|A002235}}<br>See also {{NWi|PM|2|n}} & {{NWi|MM|4|n}}
 }}
 ==History==
-{{HistF|2023-07-06|20928756|Arno Lehmann,PrimeGrid 321 Prime Search}}
+{{HistF|2024-10-01|22103376|Piotr Chodzinski,PrimeGrid 321 Prime Search}}
+{{HistF|2023-07-06|20928756|Arno Lehmann,PrimeGrid 321 Prime Search|633916}} ([https://www.primegrid.com/download/321-20928756.pdf Official announcement])
 {{HistF|2022-03-24|18924988|Frank Matillek,PrimeGrid 321 Prime Search|602726}} ([https://www.primegrid.com/download/321-18924988.pdf Official announcement])
 {{HistF|2022-01-18|18196595|(Anonymous),PrimeGrid 321 Prime Search|598299}} ([https://www.primegrid.com/download/321-18196595.pdf Official announcement])
-{{HistF|2021-09-06|17748034|Marc Wiseler,PrimeGrid 321 Prime Search|587460}} ([https://www.primegrid.com/download/321-17748034.pdf Official announcement])
+{{HistF|2021-09-06|17748034|Marc Wiseler,PrimeGrid 321 Prime Search|587767}} ([https://www.primegrid.com/download/321-17748034.pdf Official announcement])
 {{HistC|2021-03-21|1-1000000|Gary Barnes|574248}}, double check, results included
 {{HistF|2021-01-20|16819291|Rudi Tapper,PrimeGrid 321 Prime Search|P#9554}} ([https://www.primegrid.com/download/321-16819291.pdf Official announcement])
@@ Line 87: / Line 89: @@
 {{HistF|2015-03-13|11731850|Karsten Klopffleisch,PrimeGrid 321 Prime Search|P#6229}} ([http://www.primegrid.com/download/321-11731850.pdf Official announcement])
 {{HistF|2014-11-22|11484018|Serhiy Gushchak,PrimeGrid 321 Prime Search|P#6026}} ([http://www.primegrid.com/download/321-11484018.pdf Official announcement])
-{{HistF|2010-04-24|6090515|David Mumper,PrimeGrid 321 Prime Search|213935}} ([http://www.primegrid.com/download/321-6090515.pdf Official announcement])
+{{HistF|2010-04-24|6090515|David Mumper,PrimeGrid 321 Prime Search|P#1767#22799}} ([http://www.primegrid.com/download/321-6090515.pdf Official announcement])
-{{HistF|2008-03-23|4235414|Dylan Bennett,PrimeGrid 321 Prime Search}} ([http://www.primegrid.com/download/321-4235414.pdf Official announcement])
+{{HistF|2008-03-23|4235414|Dylan Bennett,PrimeGrid 321 Prime Search|131716}} ([http://www.primegrid.com/download/321-4235414.pdf Official announcement])
-{{HistF|2007-03-08|3136255|Paul Underwood,321 Search}}
+{{HistF|2007-03-08|3136255|Paul Underwood,321 Search|100309}}
-{{HistF|2005-12-20|2312734|Paul Underwood,321 Search}}
+{{HistF|2005-12-20|2312734|Paul Underwood,321 Search|68346}}
-{{HistF|2004-08-30|1232255|Thomas Ritschel,321 Search}}
+{{HistF|2004-08-30|1232255|Thomas Ritschel,321 Search|39327}}
-{{HistF|2004-08-24|1201046|Alexandre de Pereyra,321 Search}}
+{{HistF|2004-08-24|1201046|Alexandre de Pereyra,321 Search|38786}}
-{{HistF|2004-05-17|992700|Jason Kowzun,321 Search}}
+{{HistF|2004-05-17|992700|Jason Kowzun,321 Search|29361}}
-{{HistF|2004-01-23|727699|Luigi Morelli,321 Search}}
+{{HistF|2004-01-23|727699|Luigi Morelli,321 Search|20517}}
-{{HistF|2003-11-13|702038|Thomas Ritschel,321 Search}}
+{{HistF|2003-11-13|702038|Thomas Ritschel,321 Search|13680}}
-{{HistF|2003-08-20|584995|Sergey Kochergin,321 Search}}
+{{HistF|2003-08-20|584995|Sergey Kochergin,321 Search|4618}}
-{{HistF|2003-05-21|414840|Paul Jobling,321 Search}}
+{{HistF|2003-05-21|414840|Paul Jobling,321 Search|4616}}
-{{HistF|2003-04-10|234760|Thomas Ritschel,321 Search}}
+{{HistF|2003-04-10|234760|Thomas Ritschel,321 Search|4614}}
 {{HistF|1999-09-21|164987|Ingo Buechel,Wilfrid Keller}}
 {{HistF|1999-07-10|155930|Ingo Buechel,Wilfrid Keller}}

Difference between revisions of "Riesel prime 2 3"

Latest revision as of 06:06, 13 October 2024

Current data

Notes

History

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