Riesel primes of the form 15•2ⁿ-1

Current data

`k` , `b` :	15 , 2
Type :	315
Count :	58
Nash :	2221
Max `n` :	7,000,000
Date :	2024-09-02

1^[1], 2^[2], 4^[3], 5, 10^[4], 14^[5], 17, 31^[6], 41, 73, 80^[7], 82, 116^[8], 125, 145, 157, 172^[9], 202, 224^[10], 266, 289, 293, 463, 1004^[11], 1246, 2066, 2431, 2705, 4622, 5270, 7613, 21727, 21962, 40742, 41054, 60622, 83263, 83669, 91457, 103940^[12], 104177, 108124^[13], 115327, 161453, 172714, 454681, 568780^[14], 656264^[15], 712294, 902474, 1084010, 1344313, 1837873, 2323205, 3668194, 6429089, 6993631, 9482269

Remarks :

The sequence A002237 in OEIS
See also Williams 15•16ⁿ-1

Notes

History

2024-09-02: Checked n = 8 - 400000 only n ≡ 0 mod 4, Mark Rodenkirch, double-check, released
2024-08-22: Reserved by Mark Rodenkirch for n = 8 - 400000 only n ≡ 0 mod 4, double-check
2024-08-14: Found n = 9482269, Ryan Propper
2024-06-13: Checked n = 6000000 - 7000000, Ryan Propper
2021-11-20: Checked n = 1908000 - 1967597, 2062945 - 6134000, RPS Drive K15, released
2021-10-08: Found n = 6429089, Ryan Propper
2021-08-25: Found n = 6993631, Ryan Propper
2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
2013-10-15: Found n = 3668194, Ivica Kelava, RPS Drive K15
2011-07-11: Found n = 2323205, Thomas Ritschel, RPS Drive K15
2010-01-03: Checked n = 1880000 - 1908000, RPS Drive K15
2009-02-13: Checked n = 1000000 - 1880000, RPS Drive K15
2009-01-09: Checked n = 1967597 - 2062945, Peter Benson
2009-01-09: Checked n = 950000 - 1045993, 1140017 - 1196900, Peter Benson ( n = 1000000 - 1045993 & n = 1140017 - 1196900 also done by RPS Drive K15 )
2008-12-16: Found n = 1837873, Even Stokkedalen, RPS Drive K15
2007-01-05: Found n = 1344313, David Metcalfe, RPS Drive K15
2006-09-28: Found n = 1084010, David Metcalfe, RPS Drive K15
2006-09-12: Reserved by RPS Drive K15 from n = 1000000
2006-03-02: Found n = 902474, Robert Smith
2005-08-12: Found n = 712294, Robert Smith
2005-05-17: Found n = 656264, Robert Smith
2005-03-29: Checked n = 505000 - 620000, Robert Smith
2005-02-27: Found n = 568780, Robert Smith
2004-09-06: Checked n = 475000 - 505000, Robert Smith
2004-06-03: Checked n = 340000 - 475000, Robert Smith
2004-05-13: Found n = 454681, Robert Smith
2004-04-15: Checked to n = 340000, Robert Smith
2004-03-30: Found n = 172714, Robert Smith
2004-03-30: Found n = 161453, Robert Smith
2003-04-07: Found n = 115327, Steven Harvey
1999-08-09: Found n = 91457, Michael J. Graef
1999-07-08: Found n = 83669, Michael J. Graef
1999-07-07: Found n = 83263, Michael J. Graef
1999-06-29: Found n = 60622, Michael J. Graef
1999-06-03: Found n = 41054, Michael J. Graef
1999-06-03: Found n = 40742, Michael J. Graef
1998-08-09: Found n = 21962, Wilfrid Keller
1998-08-08: Found n = 21727, Wilfrid Keller
1994: Found n = 7613, Harvey Dubner

[1] Sophie Germain n=1, Twin n=1

[2] Twin n=2

[3] Sophie Germain n=4, Twin n=4, Williams 15•16¹-1

[4] Twin n=10

[5] Near Woodall 15•2¹⁴-1

[6] Woodall, Woodall 30•2³⁰-1

[7] Williams 15•16²⁰-1

[8] Williams 15•16²⁹-1

[9] Williams 15•16⁴³-1

[10] Williams 15•16⁵⁶-1

[11] Williams 15•16²⁵¹-1

[12] Williams 15•16²⁵⁹⁸⁵-1

[13] Williams 15•16²⁷⁰³¹-1

[14] Williams 15•16¹⁴²¹⁹⁵-1

[15] Williams 15•16¹⁶⁴⁰⁶⁶-1

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Riesel primes of the form 15•2ⁿ-1

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Riesel primes of the form 15•2n-1

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Riesel primes of the form 15•2ⁿ-1