Riesel primes of the form 2•3ⁿ-1

Current data

`k` , `b` :	2 , 3
Count :	38
Nash :	2685
Max `n` :	2,000,000
Date :	2024-08-01

1^[1], 2^[2], 3^[3], 7^[4], 8^[5], 12^[6], 20^[7], 23, 27, 35, 56^[8], 62, 68, 131, 222, 384, 387, 579, 644, 1772, 3751, 5270, 6335, 8544, 9204, 12312, 18806, 21114, 49340, 75551, 90012, 128295, 143552, 147488, 1010743, 1063844, 1360104, 2834778

Remarks :

See H.C.Williams, C.R.Zarnke: "Some prime numbers of the forms 2A3^n+1 and 2A3^n-1" Math. Comp. 26 (1972), 995-998
The sequence A003307 in OEIS
See also Williams 2•3ⁿ-1

Notes

History

2024-08-01: Found n = 2834778, Ryan Propper
2021-01-26: Checked to n = 2000000, Borys Jaworski, released
2020-04-04: Checked to n = 2000000, Borys Jaworski
2020-01-03: Checked n = 1940000 - 2000000, Borys Jaworski
2019-10-05: Checked n = 1930000 - 1940000, Borys Jaworski
2019-09-05: Checked n = 1840000 - 1930000, Borys Jaworski
2019-03-01: Checked n = 1810000 - 1840000, Borys Jaworski
2019-01-01: Checked n = 1800000 - 1810000, Borys Jaworski
2018-11-30: Checked n = 1780000 - 1800000, Borys Jaworski
2018-11-01: Checked n = 1760000 - 1780000, Borys Jaworski
2018-09-02: Checked n = 1720000 - 1760000, Borys Jaworski
2018-05-03: Checked n = 1690000 - 1720000, Borys Jaworski
2018-02-02: Checked n = 1680000 - 1690000, Borys Jaworski
2018-01-01: Checked n = 1670000 - 1680000, Borys Jaworski
2017-12-02: Checked n = 1660000 - 1670000, Borys Jaworski
2017-10-27: Checked n = 1630000 - 1660000, Borys Jaworski
2017-07-02: Checked n = 1610000 - 1630000, Borys Jaworski
2017-05-02: Checked n = 1600000 - 1610000, Borys Jaworski
2017-04-01: Checked n = 1570000 - 1600000, Borys Jaworski
2017-01-31: Checked n = 1560000 - 1570000, Borys Jaworski
2017-01-01: Checked n = 1550000 - 1560000, Borys Jaworski
2016-11-30: Checked to n = 1550000, Borys Jaworski
2016-11-01: Checked to n = 1550000, Borys Jaworski
2016-10-01: Checked to n = 1550000, Borys Jaworski
2016-08-31: Checked n = 1540000 - 1550000, Borys Jaworski
2016-07-01: Checked n = 1530000 - 1540000, Borys Jaworski
2016-06-01: Checked n = 1510000 - 1530000, Borys Jaworski
2016-04-30: Checked n = 1490000 - 1510000, Borys Jaworski
2016-03-31: Checked n = 1480000 - 1490000, Borys Jaworski
2016-02-29: Checked n = 1470000 - 1480000, Borys Jaworski
2016-02-01: Checked n = 1450000 - 1470000, Borys Jaworski
2016-01-03: Checked n = 1430000 - 1450000, Borys Jaworski
2015-11-30: Checked n = 1420000 - 1430000, Borys Jaworski
2015-10-31: Checked n = 1390000 - 1420000, Borys Jaworski
2015-08-31: Checked n = 1360104 - 1390000, Borys Jaworski
2015-07-31: Found n = 1350000-1360104, Borys Jaworski
2015-06-01: Checked to n = 1350000, Borys Jaworski
2015-05-01: Checked to n = 1350000, Borys Jaworski
2015-03-31: Checked n = 1340000 - 1350000, Borys Jaworski
2015-02-28: Checked n = 1330000 - 1340000, Borys Jaworski
2015-02-01: Checked n = 1320000 - 1330000, Borys Jaworski
2015-01-03: Checked n = 1300000 - 1320000, Borys Jaworski
2014-11-01: Checked n = 1290000 - 1300000, Borys Jaworski
2014-09-30: Checked n = 1270000 - 1290000, Borys Jaworski
2014-07-30: Checked n = 1260000 - 1270000, Borys Jaworski
2014-06-30: Checked n = 1250000 - 1260000, Borys Jaworski
2014-05-01: Checked n = 1240000 - 1250000, Borys Jaworski
2014-03-31: Checked to n = 1240000, Borys Jaworski
2014-03-01: Checked n = 1220000 - 1240000, Borys Jaworski
2013-11-30: Checked n = 1210000 - 1220000, Borys Jaworski
2013-10-31: Checked n = 1200000 - 1210000, Borys Jaworski
2013-09-30: Checked n = 1190000 - 1200000, Borys Jaworski
2013-07-31: Checked to n = 1190000, Borys Jaworski
2013-07-01: Checked n = 1180000 - 1190000, Borys Jaworski
2013-06-02: Checked to n = 1180000, Borys Jaworski
2013-04-01: Checked n = 1170000 - 1180000, Borys Jaworski
2013-03-02: Checked to n = 1170000, Borys Jaworski
2013-01-31: Checked n = 1150000 - 1170000, Borys Jaworski
2012-12-01: Checked to n = 1150000, Borys Jaworski
2012-11-01: Checked n = 1140000 - 1150000, Borys Jaworski
2012-09-30: Checked n = 1130000 - 1140000, Borys Jaworski
2012-08-30: Checked n = 990000 - 1130000, Borys Jaworski
2012-02-12: Found n = 1063844, Borys Jaworski
2011-09-01: Found n = 1010743, Borys Jaworski
2011-09-01: Checked n = 315000 - 990000, Borys Jaworski
2009-04-12: Checked n = 400000 - 570000, David Broadhurst
2009-03-09: Checked n = 189000 - 400000, David Broadhurst
2008-03-10: Checked to n = 315000, Borys Jaworski
2005: Checked n = 100000 - 150000+?, Wilfrid Keller, Jorg Richstein
2004: Checked n = 10000 - 100000?, Wilfrid Keller, Jorg Richstein
2004-08-15: Found n = 147488, Ingo Buechel, Wilfrid Keller
2004-08-12: Found n = 143552, Ingo Buechel, Wilfrid Keller
2003-06-20: Found n = 128295, Ingo Buechel, Wilfrid Keller
2001-09-28: Found n = 90012, Wilfrid Keller
2001-08-12: Found n = 75551, Wilfrid Keller
2001-06-30: Found n = 49340, Wilfrid Keller
1981: Checked n = 223 - 10000?, Hugh C. Williams
1972-10: Checked n = 1 - 222, Hugh C. Williams, Charles R. Zarnke

[1] Twin n=1, Near Woodall 2•3¹-1

[2] Twin n=2, Woodall 2•3²-1

[3] Near Woodall 2•3³-1

[4] Woodall 6•3⁶-1

[5] Woodall 2•81²-1, Near Woodall 6•3⁷-1

[6] Woodall 2•729²-1

[7] Woodall 18•3¹⁸-1

[8] Near Woodall 54•3⁵³-1

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[2]

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Riesel primes of the form 2•3ⁿ-1

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Riesel primes of the form 2•3n-1

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Riesel primes of the form 2•3ⁿ-1