Difference between revisions of "Woodall prime P 2"

Latest revision as of 00:27, 1 November 2024

Current data

ASCII format :	(n+1)*2^n-1
Base :	2
Count :	33
Max `n` :	2,000,000
Date :	2015-05-01

1^[1], 2, 3^[2], 4, 5^[3], 9^[4], 14, 15^[5], 16, 27^[6], 45^[7], 122, 125^[8], 213^[9], 242, 256, 263^[10], 290, 855^[11], 1059^[12], 2273^[13], 3945^[14], 3999^[15], 9512, 14127^[16], 16486, 20056, 28834, 41493^[17], 159147^[18], 227139^[19], 587823^[20], 3986381^[21]

Remarks :

The sequence A230769 in OEIS
See additional history at Near-Cullen & Near-Woodall primes
For additional odd n history, see Woodall n•4ⁿ-1.

Notes

History

2015-05-01: Checked n = 2000000 - 4000000 only odd n, Serge Batalov from Woodall n•4ⁿ-1
2015-05-01: Found n = 3986381, Serge Batalov
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
2009-09-11: Found n = 587823, Steven Harvey
2000-07-28: Found n = 227139, Ray Ballinger
2000-05-19: Found n = 159147, Ray Ballinger
1998-07-03: Found n = 41493, Henri Lifchitz
1998-07-03: Found n = 28834, Henri Lifchitz
1998-07-03: Found n = 20056, Henri Lifchitz
1998-07-03: Found n = 16486, Henri Lifchitz
1998-07-03: Found n = 14127, Henri Lifchitz
1998-07-03: Found n = 3999, Henri Lifchitz
1998-07-03: Found n = 3945, Henri Lifchitz

[1] Twin n=1, Mersenne 2²-1, Woodall 4¹-1

[2] Mersenne 2⁵-1, Woodall 2•4²-1

[3] Twin n=5, Riesel 3•2⁶-1, Woodall 3•4³-1

[4] Riesel 5•2¹⁰-1, Woodall 5•4⁵-1

[5] Mersenne 2¹⁹-1, Woodall 8•4⁸-1

[6] Riesel 7•2²⁹-1, Woodall 14•4¹⁴-1

[7] Riesel 23•2⁴⁶-1, Woodall 23•4²³-1

[8] Riesel 63•2¹²⁶-1, Woodall 63•4⁶³-1

[9] Riesel 107•2²¹⁴-1, Woodall 107•4¹⁰⁷-1

[10] Riesel 33•2²⁶⁶-1, Woodall 132•4¹³²-1

[11] Riesel 107•2⁸⁵⁸-1, Woodall 428•4⁴²⁸-1

[12] Riesel 265•2¹⁰⁶¹-1, Woodall 530•4⁵³⁰-1

[13] Riesel 1137•2²²⁷⁴-1, Woodall 1137•4¹¹³⁷-1

[14] Riesel 1973•2³⁹⁴⁶-1, Woodall 1973•4¹⁹⁷³-1

[15] Riesel 125•2⁴⁰⁰⁴-1, Woodall 2000•4²⁰⁰⁰-1

[16] Riesel 883•2¹⁴¹³¹-1, Woodall 7064•4⁷⁰⁶⁴-1

[17] Riesel 20747•2⁴¹⁴⁹⁴-1, Woodall 20747•4²⁰⁷⁴⁷-1

[18] Riesel 39787•2¹⁵⁹¹⁴⁹-1, Woodall 79574•4⁷⁹⁵⁷⁴-1

[19] Riesel 56785•2²²⁷¹⁴¹-1, Woodall 113570•4¹¹³⁵⁷⁰-1

[20] Riesel 36739•2⁵⁸⁷⁸²⁷-1, Woodall 293912•4²⁹³⁹¹²-1

[21] Riesel 1993191•2^3986382-1, Woodall 1993191•4^1993191-1

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[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

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[11]

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[13]

[14]

[15]

[16]

[17]

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[21]

@@ Line 5: / Line 5: @@
 |WoReserved=
 |WoNlist=
-;C:{{NRi|2}}
+;T:T;C:{{NRi|2}}, {{NWo|4|1}}
-;C:{{NRi|3|2}}
 ;C:{{NRi|5}}, {{NWo|4|2}}
-;C:{{NRi|5|4}}
-;C:{{NRi|3|6}}
+;T:T;C:{{NRi|3|6}}, {{NWo|4|3}}
-;C:{{NRi|5|10}}
+;C:{{NRi|5|10}}, {{NWo|4|5}}
-;C:{{NRi|15|14}}
 ;C:{{NRi|19}}, {{NWo|4|8}}
-;C:{{NRi|17|16}}
 ;C:{{NRi|7|29}}, {{NWo|4|14}}
-;C:{{NRi|23|46}}
+;C:{{NRi|23|46}}, {{NWo|4|23}}
-;C:{{NRi|123|122}}
-;C:{{NRi|63|126}}
+;C:{{NRi|63|126}}, {{NWo|4|63}}
-;C:{{NRi|107|214}}
+;C:{{NRi|107|214}}, {{NWo|4|107}}
-;C:{{NRi|243|242}}
-;C:{{NRi|257|256}}
 ;C:{{NRi|33|266}}, {{NWo|4|132}}
-;C:{{NRi|291|290}}
 ;C:{{NRi|107|858}}, {{NWo|4|428}}
 ;C:{{NRi|265|1061}}, {{NWo|4|530}}
-;C:{{NRi|1137|2274}}
+;C:{{NRi|1137|2274}}, {{NWo|4|1137}}
-;47591;C:{{NRi|1973|3946}}
+;47591;C:{{NRi|1973|3946}}, {{NWo|4|1973}}
 ;46892;C:{{NRi|125|4004}}, {{NWo|4|2000}}
-;C:{{NRi|9513|9512}}
 ;27021;C:{{NRi|883|14131}}, {{NWo|4|7064}}
-;25566;C:{{NRi|16487|16486}}
+;25566
-;22658;C:{{NRi|20057|20056}}
+;22658
-;18742;C:{{NRi|28835|28834}}
+;18742
-;15177;C:{{NRi|20747|41494}}
+;15177;C:{{NRi|20747|41494}}, {{NWo|4|20747}}
 ;1152;C:{{NRi|39787|159149}}, {{NWo|4|79574}}
 ;356;C:{{NRi|56785|227141}}, {{NWo|4|113570}}
 ;89940;C:{{NRi|36739|587827}}, {{NWo|4|293912}}
 3986381;119835;C:{{NRi|1993191|3986382}}, {{NWo|4|1993191}}
-|WoRemarks=
+|WoRemarks=The {{OEIS|l|A230769}}<br>See additional history at [https://harvey563.tripod.com/NearCullen_WoodallPrimes.txt Near-Cullen & Near-Woodall primes]<br>For additional odd {{Vn}} history, see {{NWo|4|n}}.
 }}
 ==History==
+{{HistC|2015-05-01|2000000-4000000 only odd {{Vn}}|Serge Batalov}} from {{NWo|4|n}}
 {{HistF|2015-05-01|3986381|Serge Batalov}}
-{{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|2009-09-11|587823|Steven Harvey}}

Difference between revisions of "Woodall prime P 2"

Latest revision as of 00:27, 1 November 2024

Current data

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