Difference between revisions of "Proth prime 2 27"

Latest revision as of 01:45, 27 September 2024

Current data

`k` , `b` :	27 , 2
Type :	3
Count :	49
Nash :	2142
Max `n` :	10,000,000
Date :	2024-05-23

2^[1], 4^[2], 7, 16, 19^[3], 20^[4], 22^[5], 26^[6], 40^[7], 44^[8], 46^[9], 47^[10], 50^[11], 56^[12], 59^[13], 64^[14], 92, 175, 215^[15], 275^[16], 407^[17], 455^[18], 1076^[19], 1090^[20], 3080^[21], 3322, 6419^[22], 7639^[23], 19360, 30500^[24], 38770^[25], 44164^[26], 50696^[27], 114760^[28], 117784^[29], 153847^[30], 160874^[31], 178739^[32], 379880^[33], 405514^[34], 672007^[35], 974752^[36], 1164664^[37], 1476347^[38], 2218064^[39], 5213635^[40], 7046834^[41], 7963247^[42], 12184319^[43]

Remarks :

The sequence A032363 in OEIS

PrimeGrid Proth Prime Search is double-checking n>5000000 even n.

Notes

↑ Twin n=2
↑ Is GF Divisor of xGF(2,11,3), Twin n=4
↑ Is GF Divisor of GF(18,5)
↑ Is GF Divisor of xGF(17,11,5)
↑ Is GF Divisor of xGF(20,9,5)
↑ Is GF Divisor of xGF(24,5,3) [+1], Near Cullen 27•2²⁶+1
↑ Is GF Divisor of xGF(39,10,9) [+1]
↑ Is GF Divisor of xGF(43,12,5)
↑ Is GF Divisor of xGF(43,9,5)
↑ Is GF Divisor of GF(45,8) [+1]
↑ Is GF Divisor of xGF(49,11,10)
↑ Is GF Divisor of xGF(55,7,5) [+3], Near Cullen 54•2⁵⁵+1
↑ Is GF Divisor of xGF(56,7,4) [+1]
↑ Is GF Divisor of xGF(62,7,5) [+2]
↑ Is GF Divisor of xGF(214,10,3) [+2]
↑ Is GF Divisor of xGF(274,6,5)
↑ Is GF Divisor of GF(405,7) [+1]
↑ Is GF Divisor of F(452)
↑ Is GF Divisor of xGF(1073,9,7) [+1]
↑ Is GF Divisor of xGF(1089,7,6) [+2]
↑ Is GF Divisor of xGF(3079,11,3)
↑ Is GF Divisor of xGF(6416,11,6) [+1]
↑ Is GF Divisor of xGF(7638,8,5)
↑ Is GF Divisor of xGF(30499,10,3) [+1]
↑ Is GF Divisor of xGF(38769,11,10)
↑ Is GF Divisor of xGF(44161,11,6)
↑ Is GF Divisor of GF(50695,11)
↑ Is GF Divisor of xGF(114759,9,7)
↑ Is GF Divisor of xGF(117783,9,7)
↑ Is GF Divisor of xGF(153844,10,7)
↑ Is GF Divisor of xGF(160869,11,3) [+1]
↑ Is GF Divisor of xGF(178738,5,2) [+3]
↑ Is GF Divisor of xGF(379879,10,7)
↑ Is GF Divisor of xGF(405513,7,5) [+3]
↑ Is GF Divisor of F(672005) [+7]
↑ Is GF Divisor of xGF(974749,7,5) [+1]
↑ Is GF Divisor of xGF(1164663,9,7)
↑ Is GF Divisor of xGF(1476345,11,3)
↑ Is GF Divisor of xGF(2218063,9,5) [+1]
↑ Is GF Divisor of xGF(5213634,7,6) [+1]
↑ Is GF Divisor of xGF(7046830,10,3) [+1]
↑ Is GF Divisor of F(7963245)
↑ Is GF Divisor of GF(12184313,8) [+1]

History

2024-05-23: Reserved by PrimeGrid Proth Prime Search, double-check of 27121 search even n-values only
2024-04-30: Checked to n = 5000000, PrimeGrid Proth Prime Search, double-check of 27121 search
2022-03-21: Checked to n = 10000000, PrimeGrid 27121 Prime Search
2021-04-01: Checked n = 3640000 - 9000000, PrimeGrid Fermat Divisor Search, odd n-values only
2021-02-06: Found n = 12184319, Ryan Propper
2021-01-16: Found n = 7963247, Tom Greer, PrimeGrid Fermat Divisor Search (Official announcement)
2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
2018-10-16: Found n = 7046834, Andrew M. Farrow, PrimeGrid 27121 Prime Search (Official announcement)
2015-03-12: Found n = 5213635, Hiroyuki Okazaki, PrimeGrid 27121 Prime Search (Official announcement)
2009-12-23: Found n = 2218064, Honza Cholt, PrimeGrid Proth Prime Search
2005-11-21: Found n = 1164664, Curtis Cooper
2005-11-04: Found n = 1476347, Curtis Cooper
2005-08-29: Found n = 672007, Curtis Cooper
2005-07-20: Found n = 974752, Mark Rodenkirch
2002-12-28: Found n = 405514, Payam Samidoost
2003-12-15: Found n = 379880, Reto Keiser
2000-04-05: Found n = 178739, Jo Yeong Uk
1999-10-18: Found n = 160874, Jo Yeong Uk
1999-08-08: Found n = 153847, Jo Yeong Uk
1997-12-19: Found n = 117784, Yves Gallot
1997-11-24: Found n = 114760, Yves Gallot
1995-08: Found n = 50696, Jeffrey Young
1995-08: Found n = 44164, Jeffrey Young
1993-07: Found n = 38770, Harvey Dubner
1993-05: Found n = 30500, Harvey Dubner
1993-03: Found n = 19360, Jeffrey Young
1979: Checked n = 1500 - 8000, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 7639, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 6419, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 3322, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 3080, Gordon V. Cormack, Hugh C. Williams

[1] Twin n=2

[2] Is GF Divisor of xGF(2,11,3), Twin n=4

[3] Is GF Divisor of GF(18,5)

[4] Is GF Divisor of xGF(17,11,5)

[5] Is GF Divisor of xGF(20,9,5)

[6] Is GF Divisor of xGF(24,5,3) [+1], Near Cullen 27•2²⁶+1

[7] Is GF Divisor of xGF(39,10,9) [+1]

[8] Is GF Divisor of xGF(43,12,5)

[9] Is GF Divisor of xGF(43,9,5)

[10] Is GF Divisor of GF(45,8) [+1]

[11] Is GF Divisor of xGF(49,11,10)

[12] Is GF Divisor of xGF(55,7,5) [+3], Near Cullen 54•2⁵⁵+1

[13] Is GF Divisor of xGF(56,7,4) [+1]

[14] Is GF Divisor of xGF(62,7,5) [+2]

[15] Is GF Divisor of xGF(214,10,3) [+2]

[16] Is GF Divisor of xGF(274,6,5)

[17] Is GF Divisor of GF(405,7) [+1]

[18] Is GF Divisor of F(452)

[19] Is GF Divisor of xGF(1073,9,7) [+1]

[20] Is GF Divisor of xGF(1089,7,6) [+2]

[21] Is GF Divisor of xGF(3079,11,3)

[22] Is GF Divisor of xGF(6416,11,6) [+1]

[23] Is GF Divisor of xGF(7638,8,5)

[24] Is GF Divisor of xGF(30499,10,3) [+1]

[25] Is GF Divisor of xGF(38769,11,10)

[26] Is GF Divisor of xGF(44161,11,6)

[27] Is GF Divisor of GF(50695,11)

[28] Is GF Divisor of xGF(114759,9,7)

[29] Is GF Divisor of xGF(117783,9,7)

[30] Is GF Divisor of xGF(153844,10,7)

[31] Is GF Divisor of xGF(160869,11,3) [+1]

[32] Is GF Divisor of xGF(178738,5,2) [+3]

[33] Is GF Divisor of xGF(379879,10,7)

[34] Is GF Divisor of xGF(405513,7,5) [+3]

[35] Is GF Divisor of F(672005) [+7]

[36] Is GF Divisor of xGF(974749,7,5) [+1]

[37] Is GF Divisor of xGF(1164663,9,7)

[38] Is GF Divisor of xGF(1476345,11,3)

[39] Is GF Divisor of xGF(2218063,9,5) [+1]

[40] Is GF Divisor of xGF(5213634,7,6) [+1]

[41] Is GF Divisor of xGF(7046830,10,3) [+1]

[42] Is GF Divisor of F(7963245)

[43] Is GF Divisor of GF(12184313,8) [+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]

[28]

[29]

[30]

[31]

[32]

[33]

[34]

[35]

[36]

[37]

[38]

[39]

[40]

[41]

[42]

[43]

@@ Line 4: / Line 4: @@
 |PCount=49
 |PNash=2142
-|PMaxn=
+|PMaxn=10000000
-|PDate=
+|PDate=2024-05-23
 |PReserved=
-|PMultiRes=1
+|PMultiRes=
 |PNlist=
 ;T:T
@@ Line 16: / Line 16: @@
 ;T:G
 ;T:G
-;T:G
+;T:G;C:{{NCu|+|2|26}}
 ;T:G
 ;T:G
@@ Line 22: / Line 22: @@
 ;T:G
 ;T:G
-;T:G
+;T:G;C:{{NCu|-|2|55}}
 ;T:G
 ;T:G
@@ Line 58: / Line 58: @@
 7963247;131583;T:G
 12184319;131760;T:G
-|PRemarks=
+|PRemarks=The {{OEIS|l|A032363}}
+[[PrimeGrid Proth Prime Search]] is double-checking {{Vn}}>5000000 even {{Vn}}.
 |PSieve=
 }}
 ==History==
-{{HistR|2023|PrimeGrid Proth Prime Search}}
+{{HistR|2024-05-23|PrimeGrid Proth Prime Search|P#10194#172168}}, double-check of 27121 search even {{Vn}}-values only
+{{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}, double-check of 27121 search
 {{HistC|2022-03-21|10000000|PrimeGrid 27121 Prime Search|P#9850#154888}}
-{{HistC|2021-04-01|4000000-9000000|PrimeGrid Fermat Divisor Search|P#8778#132715}}, odd {{Vn}}-values only
+{{HistC|2021-04-01|3640000-9000000|PrimeGrid Fermat Divisor Search|P#8778#149792}}, odd {{Vn}}-values only
 {{HistF|2021-02-06|12184319|Ryan Propper}}
 {{HistF|2021-01-16|7963247|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-F7963247.pdf Official announcement])
+{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 {{HistF|2018-10-16|7046834|Andrew M. Farrow,PrimeGrid 27121 Prime Search}} ([http://www.primegrid.com/download/27121-7046834.pdf Official announcement])
 {{HistF|2015-03-12|5213635|Hiroyuki Okazaki,PrimeGrid 27121 Prime Search}} ([http://www.primegrid.com/download/27121-5213635.pdf Official announcement])

Difference between revisions of "Proth prime 2 27"

Latest revision as of 01:45, 27 September 2024

Current data

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History

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