Difference between revisions of "Proth prime 2 165"

Latest revision as of 12:15, 19 May 2025

Current data

`k` , `b` :	165 , 2
Type :	315
Count :	112
Nash :	5158
Max `n` :	6,500,000
Date :	2025-04-22

1, 2^[1], 3^[2], 5^[3], 7, 9, 12^[4], 17^[5], 25, 33, 39^[6], 43^[7], 51, 65, 71, 72, 84^[8], 100, 104, 168, 198, 264^[9], 282^[10], 293^[11], 352, 379, 611, 676, 719, 729, 745, 1013^[12], 1407, 1417, 1532, 1887^[13], 1902, 1993^[14], 2137^[15], 2294, 2381^[16], 2509, 3259, 4224, 4713, 5719^[17], 6613, 7515, 8575, 8935, 11598, 12500, 13347, 14504^[18], 16732^[19], 20865, 21396, 21525, 22843, 27975, 33197, 44442^[20], 45387^[21], 49095^[22], 57633, 64108, 67326, 87580, 94484, 120400, 126928, 139459, 143437, 147953, 180740, 187588, 230803^[23], 237948^[24], 247446, 335275, 335871, 345749, 422468, 509812^[25], 746994, 758432, 781224, 826425, 838479, 928724, 1010133, 1100755^[26], 1117217, 1177856, 1207393^[27], 1244739^[28], 1408117, 1510977, 1533368, 1703392, 1705093^[29], 2090645, 2319575, 2732983^[30], 2870868, 3960664, 4375458, 4379097, 5416628^[31], 5633373, 6213489, 6237224

Remarks :

The sequence A032459 in OEIS

Notes

Jump up ↑ Twin n=2
Jump up ↑ Twin n=3
Jump up ↑ Twin n=5
Jump up ↑ Twin n=12
Jump up ↑ Is GF Divisor of xGF(14,4,3)
Jump up ↑ Twin n=39
Jump up ↑ Is GF Divisor of xGF(36,7,4)
Jump up ↑ Twin n=84
Jump up ↑ Twin n=264
Jump up ↑ Twin n=282
Jump up ↑ Is GF Divisor of GF(292,7)
Jump up ↑ Is GF Divisor of xGF(1012,11,7)
Jump up ↑ Is GF Divisor of xGF(1884,5,4)
Jump up ↑ Is GF Divisor of xGF(1989,4,3)
Jump up ↑ Is GF Divisor of xGF(2135,7,2)
Jump up ↑ Is GF Divisor of GF(2379,8)
Jump up ↑ Is GF Divisor of xGF(5714,9,5)
Jump up ↑ Is GF Divisor of xGF(14502,10,3)
Jump up ↑ Is GF Divisor of xGF(16727,11,9)
Jump up ↑ Is GF Divisor of xGF(44441,12,7)
Jump up ↑ Is GF Divisor of GF(45386,7)
Jump up ↑ Is GF Divisor of F(49093)
Jump up ↑ Is GF Divisor of GF(230801,12)
Jump up ↑ Is GF Divisor of xGF(237946,11,4)
Jump up ↑ Is GF Divisor of xGF(509808,10,7)
Jump up ↑ Is GF Divisor of xGF(1100751,10,3)
Jump up ↑ Is GF Divisor of xGF(1207390,7,6)
Jump up ↑ Is GF Divisor of GF(1244737,8)
Jump up ↑ Is GF Divisor of xGF(1705091,11,6)
Jump up ↑ Is GF Divisor of xGF(2732980,7,5)
Jump up ↑ Is GF Divisor of xGF(5416625,11,4)

History

2025-04-22: Checked to n = 6500000, PrimeGrid Proth Prime Search
2025-03-09: Found n = 6237224, Stefan Larsson, PrimeGrid Proth Prime Search
2025-03-05: Found n = 6213489, Valter Cavecchia, PrimeGrid Proth Prime Search
2024-12-03: Found n = 5633373, Stefan Larsson, PrimeGrid Proth Prime Search
2024-10-06: Found n = 5416628, Shawn Schafer, PrimeGrid Proth Prime Search
2023-11-22: Found n = 4379097, Dawid Kwiatkowski, PrimeGrid Proth Prime Search
2023-11-20: Found n = 4375458, Eric Liskay, PrimeGrid Proth Prime Search
2023-03-01: Found n = 3960664, Stefan Larsson, PrimeGrid Proth Prime Search
2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
2015-06-18: Found n = 2870868, Greg Nelson, PrimeGrid Proth Prime Search
2015-03-03: Found n = 2732983, Grzegorz Granowski, PrimeGrid Proth Prime Search
2014-10-11: Found n = 2319575, John R. H. Graham, PrimeGrid Proth Prime Search
2014-01-21: Found n = 2090645, Steven Wong, PrimeGrid Proth Prime Search
2013-03-06: Found n = 1703392, Robert Johnson, PrimeGrid Proth Prime Search
2013-03-05: Found n = 1705093, Lennart Vogel, PrimeGrid Proth Prime Search
2013-01-22: Found n = 1533368, Silvio Gordiani, PrimeGrid Proth Prime Search
2012-04-10: Found n = 1510977, Darren Wallace, PrimeGrid Proth Prime Search
2012-01-27: Found n = 1408117, Martyn Bamber, PrimeGrid Proth Prime Search
2012-01-08: Found n = 1244739, Kimmo Myllyvirta, PrimeGrid Proth Prime Search
2012-01-01: Found n = 1207393, Lasse Mejling Andersen, PrimeGrid Proth Prime Search
2011-12-05: Found n = 1177856, James Scott Brown, PrimeGrid Proth Prime Search
2010-02-18: Found n = 758432, Mark Timbrell, PrimeGrid Proth Prime Search
2009-09-21: Found n = 838479, Steven Harvey, PrimeGrid Proth Prime Search
2009-01-20: Found n = 509812, Jim Foody, PrimeGrid Proth Prime Search
2008-12-22: Found n = 781224, Rüdiger K. Eckhard
2007-12-03: Found n = 1117217, Kevin Odermatt
2007-09-23: Found n = 1100755, Kevin Odermatt
2007-07-07: Found n = 1010133, Kevin Odermatt
2007-04-12: Found n = 928724, Kevin Odermatt
2006-08-04: Found n = 826425, Kevin Odermatt
2006-05-24: Found n = 746994, Kevin Odermatt
2003-04-23: Found n = 422468, Kevin Odermatt
2003-01-09: Found n = 345749, Kevin Odermatt
2002-11-28: Found n = 335275, Kevin Odermatt
2002-11-23: Found n = 335871, Kevin Odermatt
2002-10: Found n = 247446, Kevin Odermatt
2002-10: Found n = 237948, Kevin Odermatt
2002-10: Found n = 230803, Kevin Odermatt
2002-01-23: Found n = 187588, Kevin Odermatt
2001-10-30: Found n = 180740, Paul Jobling
1999-03-30: Found n = 147953, David W. Linton
1999-01-15: Found n = 87580, David W. Linton
1998-12-21: Found n = 126928, David W. Linton
1998-12-10: Found n = 94484, David W. Linton
1998-12-09: Found n = 143437, David W. Linton
1998-11-30: Found n = 139459, David W. Linton
1998-11-27: Found n = 120400, David W. Linton
1998-09-28: Found n = 64108, Yves Gallot
1998-09-14: Found n = 57633, Yves Gallot
1998-08-19: Found n = 49095, Yves Gallot
1998-08-13: Found n = 45387, Yves Gallot
1998-08-13: Found n = 44442, Yves Gallot
1998-02-24: Found n = 67326, Jeffrey Young
1998-01-13: Found n = 14504, Jim Buddenhagen
1998-01-13: Found n = 12500, Jim Buddenhagen
1997-10-28: Found n = 33197, Jim Buddenhagen
1997-10-28: Found n = 27975, Jim Buddenhagen
1997-07: Found n = 13347, Jim Buddenhagen
1996: Found n = 22843, Patrick Demichel
1996-10: Found n = 21525, Patrick Demichel
1996-10: Found n = 21396, Patrick Demichel
1996-10: Found n = 20865, Patrick Demichel
1996-05: Found n = 16732, Patrick Demichel
1993-10-01: Found n = 11598, Harvey Dubner
1993: Found n = 8935, Harvey Dubner
1993: Found n = 8575, Harvey Dubner
1992: Found n = 7515, Harvey Dubner
1984: Found n = 4224, Hiromi Suyama

[1] Jump up ↑ Twin n=2

[2] Jump up ↑ Twin n=3

[3] Jump up ↑ Twin n=5

[4] Jump up ↑ Twin n=12

[5] Jump up ↑ Is GF Divisor of xGF(14,4,3)

[6] Jump up ↑ Twin n=39

[7] Jump up ↑ Is GF Divisor of xGF(36,7,4)

[8] Jump up ↑ Twin n=84

[9] Jump up ↑ Twin n=264

[10] Jump up ↑ Twin n=282

[11] Jump up ↑ Is GF Divisor of GF(292,7)

[12] Jump up ↑ Is GF Divisor of xGF(1012,11,7)

[13] Jump up ↑ Is GF Divisor of xGF(1884,5,4)

[14] Jump up ↑ Is GF Divisor of xGF(1989,4,3)

[15] Jump up ↑ Is GF Divisor of xGF(2135,7,2)

[16] Jump up ↑ Is GF Divisor of GF(2379,8)

[17] Jump up ↑ Is GF Divisor of xGF(5714,9,5)

[18] Jump up ↑ Is GF Divisor of xGF(14502,10,3)

[19] Jump up ↑ Is GF Divisor of xGF(16727,11,9)

[20] Jump up ↑ Is GF Divisor of xGF(44441,12,7)

[21] Jump up ↑ Is GF Divisor of GF(45386,7)

[22] Jump up ↑ Is GF Divisor of F(49093)

[23] Jump up ↑ Is GF Divisor of GF(230801,12)

[24] Jump up ↑ Is GF Divisor of xGF(237946,11,4)

[25] Jump up ↑ Is GF Divisor of xGF(509808,10,7)

[26] Jump up ↑ Is GF Divisor of xGF(1100751,10,3)

[27] Jump up ↑ Is GF Divisor of xGF(1207390,7,6)

[28] Jump up ↑ Is GF Divisor of GF(1244737,8)

[29] Jump up ↑ Is GF Divisor of xGF(1705091,11,6)

[30] Jump up ↑ Is GF Divisor of xGF(2732980,7,5)

[31] Jump up ↑ Is GF Divisor of xGF(5416625,11,4)

[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]

[28]

[29]

[30]

[31]

@@ Line 2: / Line 2: @@
 |Pk=165
 |Pb=2
-|PCount=110
+|PCount=112
 |PNash=5158
-|PMaxn=
+|PMaxn=6500000
-|PDate=
+|PDate=2025-04-22
 |PReserved=
-|PMultiRes=1
+|PMultiRes=
 |PNlist=
@@ Line 119: / Line 119: @@
 5416628;138618;T:G
 5633373;138750
+6213489;140290
+6237224;140334
 |PRemarks=The {{OEIS|l|A032459}}
 |PSieve=
 }}
 ==History==
+{{HistC|2025-04-22|6500000|PrimeGrid Proth Prime Search}}
+{{HistF|2025-03-09|6237224|Stefan Larsson,PrimeGrid Proth Prime Search}}
+{{HistF|2025-03-05|6213489|Valter Cavecchia,PrimeGrid Proth Prime Search}}
 {{HistF|2024-12-03|5633373|Stefan Larsson,PrimeGrid Proth Prime Search}}
 {{HistF|2024-10-06|5416628|Shawn Schafer,PrimeGrid Proth Prime Search}}
-{{HistF|2023-11-23|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
+{{HistF|2023-11-22|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
 {{HistF|2023-11-20|4375458|Eric Liskay,PrimeGrid Proth Prime Search}}
 {{HistF|2023-03-01|3960664|Stefan Larsson,PrimeGrid Proth Prime Search}}
@@ Line 133: / Line 138: @@
 {{HistF|2014-10-11|2319575|John R. H. Graham,PrimeGrid Proth Prime Search}}
 {{HistF|2014-01-21|2090645|Steven Wong,PrimeGrid Proth Prime Search}}
+{{HistF|2013-03-06|1703392|Robert Johnson,PrimeGrid Proth Prime Search}}
 {{HistF|2013-03-05|1705093|Lennart Vogel,PrimeGrid Proth Prime Search}}
-{{HistF|2013-02-06|1703392|Robert Johnson,PrimeGrid Proth Prime Search}}
 {{HistF|2013-01-22|1533368|Silvio Gordiani,PrimeGrid Proth Prime Search}}
 {{HistF|2012-04-10|1510977|Darren Wallace,PrimeGrid Proth Prime Search}}
@@ Line 151: / Line 156: @@
 {{HistF|2006-08-04|826425|Kevin Odermatt}}
 {{HistF|2006-05-24|746994|Kevin Odermatt}}
-{{HistF|2003-03-24|422468|Kevin Odermatt}}
+{{HistF|2003-04-23|422468|Kevin Odermatt}}
 {{HistF|2003-01-09|345749|Kevin Odermatt}}
 {{HistF|2002-11-28|335275|Kevin Odermatt}}
 {{HistF|2002-11-23|335871|Kevin Odermatt}}
-{{HistF|2002-11-01|247446|Kevin Odermatt}}
+{{HistF|2002-10|247446|Kevin Odermatt}}
-{{HistF|2002-11-01|237948|Kevin Odermatt}}
+{{HistF|2002-10|237948|Kevin Odermatt}}
-{{HistF|2002-11-01|230803|Kevin Odermatt}}
+{{HistF|2002-10|230803|Kevin Odermatt}}
 {{HistF|2002-01-23|187588|Kevin Odermatt}}
 {{HistF|2001-10-30|180740|Paul Jobling}}
@@ Line 177: / Line 182: @@
 {{HistF|1997-10-28|33197|Jim Buddenhagen}}
 {{HistF|1997-10-28|27975|Jim Buddenhagen}}
-{{HistF|1997-08-01|13347|Jim Buddenhagen}}
+{{HistF|1997-07|13347|Jim Buddenhagen}}
-{{HistF|1997-01-01|22843|Patrick Demichel}}
+{{HistF|1996|22843|Patrick Demichel}}
-{{HistF|1996-11-01|21525|Patrick Demichel}}
+{{HistF|1996-10|21525|Patrick Demichel}}
-{{HistF|1996-11-01|21396|Patrick Demichel}}
+{{HistF|1996-10|21396|Patrick Demichel}}
-{{HistF|1996-11-01|20865|Patrick Demichel}}
+{{HistF|1996-10|20865|Patrick Demichel}}
-{{HistF|1996-06-01|16732|Patrick Demichel}}
+{{HistF|1996-05|16732|Patrick Demichel}}
-{{HistF|1994-01-01|8935|Harvey Dubner}}
+{{HistF|1993-10-01|11598|Harvey Dubner}}
-{{HistF|1994-01-01|8575|Harvey Dubner}}
+{{HistF|1993|8935|Harvey Dubner}}
-{{HistF|1993-10-02|11598|Harvey Dubner}}
+{{HistF|1993|8575|Harvey Dubner}}
-{{HistF|1993-01-01|7515|Harvey Dubner}}
+{{HistF|1992|7515|Harvey Dubner}}
-{{HistF|1985-01-01|4224|Hiromi Suyama}}
+{{HistF|1984|4224|Hiromi Suyama}}

Difference between revisions of "Proth prime 2 165"

Latest revision as of 12:15, 19 May 2025

Current data

Notes

History

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