Difference between revisions of "Proth prime 2 5"

Latest revision as of 20:36, 26 September 2024

Reserved! This sequence is currently reserved by: Ryan Propper

Current data

`k` , `b` :	5 , 2
Type :	Low
Count :	25
Nash :	891
Max `n` :	9,000,000
Date :	2024-09-06
Reserved :	Ryan PropperRyan Propper/Reserved

1, 3^[1], 7^[2], 13^[3], 15^[4], 25^[5], 39^[6], 55^[7], 75^[8], 85^[9], 127^[10], 1947^[11], 3313^[12], 4687^[13], 5947^[14], 13165^[15], 23473^[16], 26607^[17], 125413^[18], 209787^[19], 240937^[20], 819739^[21], 1282755^[22], 1320487^[23], 1777515^[24]

Remarks :

The sequence A002254 in OEIS

Notes

↑ Is GF Divisor of xGF(2,11,8) [+2]
↑ Is GF Divisor of F(5) [+7]
↑ Is GF Divisor of xGF(10,5,4) [+8]
↑ Is GF Divisor of GF(13,5) [+12], Cullen 5•8⁵+1
↑ Is GF Divisor of F(23) [+8], Cullen 5•32⁵+1
↑ Is GF Divisor of F(36) [+8]
↑ Is GF Divisor of GF(54,3) [+5], Cullen 5•2048⁵+1
↑ Is GF Divisor of F(73) [+6], Cullen 5•32768⁵+1
↑ Is GF Divisor of xGF(84,4,3) [+5], Cullen 5•131072⁵+1
↑ Is GF Divisor of F(125) [+19]
↑ Is GF Divisor of F(1945) [+11]
↑ Is GF Divisor of F(3310) [+8]
↑ Is GF Divisor of GF(4686,6) [+7]
↑ Is GF Divisor of xGF(5946,5,3) [+8]
↑ Is GF Divisor of GF(13164,3) [+9]
↑ Is GF Divisor of F(23471) [+11]
↑ Is GF Divisor of xGF(26606,5,3) [+9]
↑ Is GF Divisor of F(125410) [+12]
↑ Is GF Divisor of xGF(209786,3,2) [+8]
↑ Is GF Divisor of GF(240936,3) [+6]
↑ Is GF Divisor of GF(819738,3) [+6]
↑ Is GF Divisor of GF(1282754,3) [+6]
↑ Is GF Divisor of xGF(1320486,5,3) [+7]
↑ Is GF Divisor of GF(1777511,5) [+7]

History

2024-09-06: Reserved by Ryan Propper
2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
2005-04-14: Found n = 1777515, Senji Yamashita, Satoshi Noda, Takahiro Nohara
2002-03-20: Found n = 1320487, Manfred Toplic
2002-06-03: Found n = 1282755, Manfred Toplic
2001-07-23: Found n = 819739, Manfred Toplic
1997-05: Found n = 240937, Jeffrey Young
1997-05: Found n = 209787, Jeffrey Young
1995-08: Found n = 125413, Jeffrey Young
1992: Found n = 26607, Harvey Dubner
1984: Found n = 23473, Wilfrid Keller
1979: Found n = 13165, Wilfrid Keller
1979: Checked n = 2000 - 10000, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 5947, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 4687, Gordon V. Cormack, Hugh C. Williams
1979: Found n = 3313, Gordon V. Cormack, Hugh C. Williams

[1] Is GF Divisor of xGF(2,11,8) [+2]

[2] Is GF Divisor of F(5) [+7]

[3] Is GF Divisor of xGF(10,5,4) [+8]

[4] Is GF Divisor of GF(13,5) [+12], Cullen 5•8⁵+1

[5] Is GF Divisor of F(23) [+8], Cullen 5•32⁵+1

[6] Is GF Divisor of F(36) [+8]

[7] Is GF Divisor of GF(54,3) [+5], Cullen 5•2048⁵+1

[8] Is GF Divisor of F(73) [+6], Cullen 5•32768⁵+1

[9] Is GF Divisor of xGF(84,4,3) [+5], Cullen 5•131072⁵+1

[10] Is GF Divisor of F(125) [+19]

[11] Is GF Divisor of F(1945) [+11]

[12] Is GF Divisor of F(3310) [+8]

[13] Is GF Divisor of GF(4686,6) [+7]

[14] Is GF Divisor of xGF(5946,5,3) [+8]

[15] Is GF Divisor of GF(13164,3) [+9]

[16] Is GF Divisor of F(23471) [+11]

[17] Is GF Divisor of xGF(26606,5,3) [+9]

[18] Is GF Divisor of F(125410) [+12]

[19] Is GF Divisor of xGF(209786,3,2) [+8]

[20] Is GF Divisor of GF(240936,3) [+6]

[21] Is GF Divisor of GF(819738,3) [+6]

[22] Is GF Divisor of GF(1282754,3) [+6]

[23] Is GF Divisor of xGF(1320486,5,3) [+7]

[24] Is GF Divisor of GF(1777511,5) [+7]

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

@@ Line 1: / Line 1: @@
 {{Proth prime
 |Pk=5
+|Pb=2
 |PCount=25
 |PNash=891
 |PMaxn=9000000
-|PDate=2021-04-01
+|PDate=2024-09-06
-|PReserved=
+|PReserved=Ryan Propper
 |PMultiRes=
 |PNlist=
+;T:G
-;C:Divides: F(5), GF(5,5), GF(4,10)
+;T:G
-;C:Divides: GF(12,12)
+;T:G
-;C:Divides: GF(13,5), GF(14,12)
+;T:G;C:{{NCu|8|5}}
-;C:Divides: F(23), GF(23,5), GF(20,10)
+;T:G;C:{{NCu|32|5}}
-;C:Divides: F(36), GF(36,5), GF(35,10)
+;T:G
-;C:Divides: GF(54,3), GF(53,5)
+;T:G;C:{{NCu|2048|5}}
-;C:Divides: F(73), GF(73,5), GF(72,10)
+;T:G;C:{{NCu|32768|5}}
-;C:Divides: GF(82,5)
+;T:G;C:{{NCu|131072|5}}
-;C:Divides: F(125), GF(126,3), GF(125,5), GF(126,6), GF(124,10), GF(126,12)
+;T:G
-;C:Divides: F(1945), GF(1945,5), GF(1944,10)
+;T:G
-;C:Divides: F(3310), GF(3310,5), GF(3306,10)
+;T:G
-;40235;C:Divides: GF(4686,6)
+;40235;T:G
-;37932;C:Divides: GF(5946,12)
+;37932;T:G
-;27519;C:Divides: GF(13164,3), GF(13161,5)
+;27519;T:G
-;21284;C:Divides: F(23471), GF(23471,5), GF(23467,10)
+;21284;T:G
-;19507;C:Divides: GF(26606,12)
+;19507;T:G
-;2598;C:Divides: F(125410), GF(125410,5), GF(125408,10)
+;2598;T:G
-;410
+;410;T:G
-;320;C:Divides: GF(240936,3)
+;320;T:G
-;24;C:Divides: GF(819738,3)
+;24;T:G
-1282755;13;C:Divides: GF(1282754,3), GF(1282748,5)
+1282755;13;T:G
-1320487;9;C:Divides: GF(1320486,12)
+1320487;9;T:G
-1777515;74133;C:Divides: GF(1777511,5), GF(1777514,6)
+1777515;74133;T:G
-|PRemarks=
+|PRemarks=The {{OEIS|l|A002254}}
 }}
 ==History==
+{{HistR|2024-09-06|Ryan Propper}}
 {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
+{{HistF|2005-04-14|1777515|Senji Yamashita,Satoshi Noda,Takahiro Nohara}}
+{{HistF|2002-03-20|1320487|Manfred Toplic}}
+{{HistF|2002-06-03|1282755|Manfred Toplic}}
+{{HistF|2001-07-23|819739|Manfred Toplic}}
+{{HistF|1997-05|240937|Jeffrey Young}}
+{{HistF|1997-05|209787|Jeffrey Young}}
+{{HistF|1995-08|125413|Jeffrey Young}}
+{{HistF|1992|26607|Harvey Dubner}}
+{{HistF|1984|23473|Wilfrid Keller}}
+{{HistF|1979|13165|Wilfrid Keller}}
+{{HistC|1979|2000-10000|Gordon V. Cormack,Hugh C. Williams}}
+{{HistF|1979|5947|Gordon V. Cormack,Hugh C. Williams}}
+{{HistF|1979|4687|Gordon V. Cormack,Hugh C. Williams}}
+{{HistF|1979|3313|Gordon V. Cormack,Hugh C. Williams}}

Difference between revisions of "Proth prime 2 5"

Latest revision as of 20:36, 26 September 2024

Current data

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History

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