Difference between revisions of "Woodall prime P 2"

Latest revision as of 09:24, 17 October 2024

Current data

Base :	2
Count :	33
Max `n` :	2,000,000
Date :	2015-05-01

1^[1], 2^[2], 3^[3], 4^[4], 5^[5], 9^[6], 14^[7], 15^[8], 16^[9], 27^[10], 45^[11], 122^[12], 125^[13], 213^[14], 242^[15], 256^[16], 263^[17], 290^[18], 855^[19], 1059^[20], 2273^[21], 3945^[22], 3999^[23], 9512^[24], 14127^[25], 16486^[26], 20056^[27], 28834^[28], 41493^[29], 159147^[30], 227139^[31], 587823^[32], 3986381^[33]

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] Twin n=2, Riesel 3•2²-1

[3] Mersenne 2⁵-1, Woodall 2•4²-1

[4] Riesel 5•2⁴-1

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

[6] Riesel 5•2¹⁰-1, Woodall 5•4⁵-1

[7] Riesel 15•2¹⁴-1

[8] Mersenne 2¹⁹-1, Woodall 8•4⁸-1

[9] Riesel 17•2¹⁶-1

[10] Riesel 7•2²⁹-1, Woodall 14•4¹⁴-1

[11] Riesel 23•2⁴⁶-1, Woodall 23•4²³-1

[12] Riesel 123•2¹²²-1

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

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

[15] Riesel 243•2²⁴²-1

[16] Riesel 257•2²⁵⁶-1

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

[18] Riesel 291•2²⁹⁰-1

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

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

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

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

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

[24] Riesel 9513•2⁹⁵¹²-1

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

[26] Riesel 16487•2¹⁶⁴⁸⁶-1

[27] Riesel 20057•2²⁰⁰⁵⁶-1

[28] Riesel 28835•2²⁸⁸³⁴-1

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

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

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

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

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

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[10]

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[14]

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[17]

[18]

[19]

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[21]

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[27]

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[32]

[33]

@@ Line 2: / Line 2: @@
 |WoBase=2
 |WoMaxn=2000000
-|WoDate=2009
+|WoDate=2015-05-01
 |WoReserved=
 |WoNlist=
+;T:T;C:{{NRi|2}}, {{NWo|4|1}}
+;T:T;C:{{NRi|3|2}}
+;C:{{NRi|5}}, {{NWo|4|2}}
+;C:{{NRi|5|4}}
+;T:T;C:{{NRi|3|6}}, {{NWo|4|3}}
+;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}}, {{NWo|4|23}}
+;C:{{NRi|123|122}}
+;C:{{NRi|63|126}}, {{NWo|4|63}}
+;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}}, {{NWo|4|1137}}
+;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}}
+;22658;C:{{NRi|20057|20056}}
+;18742;C:{{NRi|28835|28834}}
+;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}}
-|WoRemarks=
+3986381;119835;C:{{NRi|1993191|3986382}}, {{NWo|4|1993191}}
+|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|1896000-2000000|Steven Harvey}}
+{{HistC|2014-10-27|1866000-1896000|Steven Harvey}}
+{{HistC|2014-10-10|1747000-1866000|Steven Harvey}}
+{{HistC|2014-08-15|1720000-1747000|Steven Harvey}}
+{{HistC|2014-07-29|1678000-1720000|Steven Harvey}}
+{{HistC|2014-07-10|1630000-1678000|Steven Harvey}}
+{{HistC|2014-06-03|1100000-1630000|Steven Harvey}}
+{{HistC|2012-06-01|1100000|Steven Harvey}}
+{{HistF|2009-09-11|587823|Steven Harvey}}
+{{HistF|2000-07-28|227139|Ray Ballinger}}
+{{HistF|2000-05-19|159147|Ray Ballinger}}
+{{HistF|1998-07-03|41493|Henri Lifchitz}}
+{{HistF|1998-07-03|28834|Henri Lifchitz}}
+{{HistF|1998-07-03|20056|Henri Lifchitz}}
+{{HistF|1998-07-03|16486|Henri Lifchitz}}
+{{HistF|1998-07-03|14127|Henri Lifchitz}}
+{{HistF|1998-07-03|3999|Henri Lifchitz}}
+{{HistF|1998-07-03|3945|Henri Lifchitz}}

Difference between revisions of "Woodall prime P 2"

Latest revision as of 09:24, 17 October 2024

Current data

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