Difference between revisions of "Cullen prime M 2"

Latest revision as of 09:40, 17 October 2024

Current data

Base :	2
Count :	25
Max `n` :	2,000,000
Date :	2014-11-12

2^[1], 3^[2], 7^[3], 27^[4], 51^[5], 55^[6], 81^[7], 1471^[8], 1483^[9], 8668^[10], 10885^[11], 20803^[12], 32605^[13], 36391^[14], 57004^[15], 61627^[16], 88651^[17], 89731^[18], 133928^[19], 153428^[20], 338485^[21], 373347^[22], 460575^[23], 534507^[24], 660988^[25]

Remarks :

The sequence A128001 in OEIS
See additional history at Near-Cullen & Near-Woodall primes.

Notes

History

2014-11-12: Checked n = 1896000 - 2000000, Steven Harvey
2014-10-27: Checked n = 1866000 - 1896000, Steven Harvey
2014-10-10: Checked n = 1747000 - 1866000, Steven Harvey
2014-08-15: Checked n = 1720000 - 1747000, Steven Harvey
2014-07-29: Checked n = 1678000 - 1720000, Steven Harvey
2014-07-10: Checked n = 1630000 - 1678000, Steven Harvey
2014-06-03: Checked n = 1100000 - 1630000, Steven Harvey
2012-06-01: Checked to n = 1100000, Steven Harvey
2010-02-01: Found n = 660988, Steven Harvey
2009-05-19: Found n = 534507, Steven Harvey
2008-11-20: Found n = 460575, Steven Harvey
2007-09-24: Found n = 373347, Steven Harvey
2005-02-28: Found n = 338485, Steven Harvey
2002-07-12: Found n = 153428, Steven Harvey
2002-07-05: Found n = 133928, Steven Harvey
1999-01-24: Found n = 89731, Jo Yeong Uk
1999-01-19: Found n = 88651, Jo Yeong Uk
1998-11-22: Found n = 61627, Jo Yeong Uk
1998-11-22: Found n = 57004, Jo Yeong Uk
1998-11-10: Found n = 36391, Jo Yeong Uk
1997-09-14: Found n = 32605, Carlos Rivera
1997-09-12: Found n = 20803, Carlos Rivera
1997-09-11: Found n = 10885, Carlos Rivera
?: Found n = 8668, Mike Oakes

[1] Twin n=2, Proth 2²+1

[2] Proth 2⁴+1, Near Cullen 4²+1

[3] Proth 3•2⁸+1, Near Cullen 3•4⁴+1

[4] Proth 13•2²⁸+1, Near Cullen 13•4¹⁴+1

[5] Proth 25•2⁵²+1, Near Cullen 25•4²⁶+1

[6] Proth 27•2⁵⁶+1, Near Cullen 27•4²⁸+1

[7] Proth 5•2⁸⁵+1, Near Cullen 40•4⁴¹+1

[8] Proth 735•2¹⁴⁷²+1, Near Cullen 735•4⁷³⁶+1

[9] Proth 741•2¹⁴⁸⁴+1, Near Cullen 741•4⁷⁴²+1

[10] Proth 8667•2⁸⁶⁶⁸+1

[11] Proth 2721•2¹⁰⁸⁸⁷+1, Near Cullen 5442•4⁵⁴⁴³+1

[12] Proth 10401•2²⁰⁸⁰⁴+1, Near Cullen 10401•4¹⁰⁴⁰²+1

[13] Proth 8151•2³²⁶⁰⁷+1, Near Cullen 16302•4¹⁶³⁰³+1

[14] Proth 18195•2³⁶³⁹²+1, Near Cullen 18195•4¹⁸¹⁹⁶+1

[15] Proth 57003•2⁵⁷⁰⁰⁴+1

[16] Proth 30813•2⁶¹⁶²⁸+1, Near Cullen 30813•4³⁰⁸¹⁴+1

[17] Proth 44325•2⁸⁸⁶⁵²+1, Near Cullen 44325•4⁴⁴³²⁶+1

[18] Proth 44865•2⁸⁹⁷³²+1, Near Cullen 44865•4⁴⁴⁸⁶⁶+1

[19] Proth 133927•2¹³³⁹²⁸+1

[20] Proth 153427•2¹⁵³⁴²⁸+1

[21] Proth 84621•2³³⁸⁴⁸⁷+1, Near Cullen 169242•4¹⁶⁹²⁴³+1

[22] Proth 186673•2³⁷³³⁴⁸+1, Near Cullen 186673•4¹⁸⁶⁶⁷⁴+1

[23] Proth 230287•2⁴⁶⁰⁵⁷⁶+1, Near Cullen 230287•4²³⁰²⁸⁸+1

[24] Proth 267253•2⁵³⁴⁵⁰⁸+1, Near Cullen 267253•4²⁶⁷²⁵⁴+1

[25] Proth 660987•2⁶⁶⁰⁹⁸⁸+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]

@@ Line 5: / Line 5: @@
 |CuReserved=
 |CuNlist=
-;C:{{NPr|2}}
+;T:T;C:{{NPr|2}}
-;C:{{NPr|4}}
+;C:{{NPr|4}}, {{NCu|-|4|2}}
-;C:{{NPr|3|8}}
+;C:{{NPr|3|8}}, {{NCu|-|4|4}}
-;C:{{NPr|13|28}}
+;C:{{NPr|13|28}}, {{NCu|-|4|14}}
-;C:{{NPr|25|52}}, Divides {{DGF|48|10}}
+;C:{{NPr|25|52}}, {{NCu|-|4|26}}
-;C:{{NPr|27|56}}
+;C:{{NPr|27|56}}, {{NCu|-|4|28}}
-;C:{{NPr|5|85}}
+;C:{{NPr|5|85}}, {{NCu|-|4|41}}
-;C:{{NPr|735|1472}}
+;C:{{NPr|735|1472}}, {{NCu|-|4|736}}
-;C:{{NPr|741|1484}}
+;C:{{NPr|741|1484}}, {{NCu|-|4|742}}
 ;C:{{NPr|8667|8668}}
-;29196;C:{{NPr|2721|10887}}
+;29196;C:{{NPr|2721|10887}}, {{NCu|-|4|5443}}
-;22358;C:{{NPr|10401|20804}}
+;22358;C:{{NPr|10401|20804}}, {{NCu|-|4|10402}}
-;17831;C:{{NPr|8151|32607}}
+;17831;C:{{NPr|8151|32607}}, {{NCu|-|4|16303}}
-;16940;C:{{NPr|18195|36392}}
+;16940;C:{{NPr|18195|36392}}, {{NCu|-|4|18196}}
 ;11062;C:{{NPr|57003|57004}}
-;10016;C:{{NPr|30813|61628}}
+;10016;C:{{NPr|30813|61628}}, {{NCu|-|4|30814}}
-;6250;C:{{NPr|44325|88652}}
+;6250;C:{{NPr|44325|88652}}, {{NCu|-|4|44326}}
-;6101;C:{{NPr|44865|89732}}
+;6101;C:{{NPr|44865|89732}}, {{NCu|-|4|44866}}
 ;1974;C:{{NPr|133927|133928}}
 ;1242;C:{{NPr|153427|153428}}
-;73570;C:{{NPr|84621|338487}}
+;73570;C:{{NPr|84621|338487}}, {{NCu|-|4|169243}}
-;82362;C:{{NPr|186673|373348}}
+;82362;C:{{NPr|186673|373348}}, {{NCu|-|4|186674}}
-;85794;C:{{NPr|230287|460576}}
+;85794;C:{{NPr|230287|460576}}, {{NCu|-|4|230288}}
-;88377;C:{{NPr|267253|534508}}
+;88377;C:{{NPr|267253|534508}}, {{NCu|-|4|267254}}
 ;91630;C:{{NPr|660987|660988}}
-|CuRemarks=
+|CuRemarks=The {{OEIS|l|A128001}}<br>See additional history at [https://harvey563.tripod.com/NearCullen_WoodallPrimes.txt Near-Cullen & Near-Woodall primes].
 }}
 ==History==
-{{HistC|2014-11-12|2000000|Steven Harvey}}
+{{HistC|2014-11-12|1896000-2000000|Steven Harvey}}
-{{HistC|2014-10-27|1896000|Steven Harvey}}
+{{HistC|2014-10-27|1866000-1896000|Steven Harvey}}
-{{HistC|2014-10-10|1866000|Steven Harvey}}
+{{HistC|2014-10-10|1747000-1866000|Steven Harvey}}
-{{HistC|2014-08-15|1747000|Steven Harvey}}
+{{HistC|2014-08-15|1720000-1747000|Steven Harvey}}
-{{HistC|2014-07-29|1720000|Steven Harvey}}
+{{HistC|2014-07-29|1678000-1720000|Steven Harvey}}
-{{HistC|2014-07-10|1678000|Steven Harvey}}
+{{HistC|2014-07-10|1630000-1678000|Steven Harvey}}
-{{HistC|2014-06-03|1630000|Steven Harvey}}
+{{HistC|2014-06-03|1100000-1630000|Steven Harvey}}
 {{HistC|2012-06-01|1100000|Steven Harvey}}
 {{HistF|2010-02-01|660988|Steven Harvey}}

Difference between revisions of "Cullen prime M 2"

Latest revision as of 09:40, 17 October 2024

Current data

Notes

History

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