Riesel primes of the form 17•2ⁿ-1

Current data

`k` , `b` :	17 , 2
Count :	43
Nash :	2416
Max `n` :	5,000,000
Date :	2024-09-02

2, 4^[1], 6, 16^[2], 20^[3], 36^[4], 54, 60^[5], 96^[6], 124^[7], 150, 252^[8], 356^[9], 460^[10], 612^[11], 654, 664^[12], 698, 702, 972^[13], 1188^[14], 1312^[15], 3062, 4214, 4288^[16], 5280^[17], 9100^[18], 20262, 21676^[19], 24828^[20], 46144^[21], 62148^[22], 79974, 117784^[23], 211464^[24], 310744^[25], 310754, 429318, 601158, 605394, 2721830, 2946584^[26], 4107544^[27]

Remarks :

The sequence A001774 in OEIS
See also Williams 17•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
2021-03-21: Checked n = 1 - 1000000, Gary Barnes, double check, results included
2015-07-12: Checked n = 2200000 - 5000000, RPS Drive K17
2015-06-30: Found n = 4107544, Serge Batalov, RPS Drive K17
2013-05-20: Found n = 2946584, Predrag Kurtovic, RPS Drive K17
2010-10-17: Found n = 2721830, Dmitry Domanov, RPS Drive K17
2010-01-03: Checked n = 1940000 - 1967592, 2052604 - 2200000, RPS Drive K17
2009-02-13: Checked n = 205000 - 1940000, RPS Drive K17
2009-01-09: Checked n = 1652076 - 1756058, 1967592 - 2052604, Peter Benson ( n = 1652076 - 1756058 also done by RPS Drive K17 )
2009-01-09: Checked n = 950000 - 1040815, 1140004 - 1191054, 1430012 - 1454792, 1455136 - 1480572, Peter Benson ( all ranges also done by RPS Drive K17 )
2006-09-22: 601158 confirmed, Predrag Minovic, RPS Drive K17
2006-09-19: Found n = 605394, Alexandre de Pereyra, RPS Drive K17
2006-08-08: 429318 confirmed, Tony Galvan, RPS Drive K17
2006-05-19: 310754 confirmed, Predrag Minovic, RPS Drive K17
2006-05-19: 310744 confirmed, Predrag Minovic, RPS Drive K17
2006-05-08: 211464 confirmed, Predrag Minovic, RPS Drive K17
2006-05-03: Reserved by RPS Drive K17 from n = 205000
2004-05-25: Checked n = 1 - 205034, Andrew Walker, released
2004-05-18: Found n = 601158, Peter Grobstich
2004-05-09: Reserved by Andrew Walker
2003-11-24: Found n = 429318, Peter Grobstich
2003-08-22: Found n = 310754, Peter Grobstich
2003-08-22: Found n = 310744, Peter Grobstich
2003-07-25: Found n = 211464, Peter Grobstich
2003-04-08: Found n = 117784, Steven Harvey
1999-07-02: Found n = 62148, Michael J. Graef
1999-06-08: Found n = 46144, Michael J. Graef
1998-08-09: Found n = 24828, Wilfrid Keller
1998-08-08: Found n = 21676, Wilfrid Keller
1998-08-06: Found n = 20262, Wilfrid Keller

[1] Williams 17•16¹-1

[2] Near Woodall 17•2¹⁶-1, Williams 17•16⁴-1

[3] Williams 17•16⁵-1

[4] Near Woodall 34•2³⁵-1, Williams 17•16⁹-1

[5] Williams 17•16¹⁵-1

[6] Williams 17•16²⁴-1

[7] Williams 17•16³¹-1

[8] Williams 17•16⁶³-1

[9] Williams 17•16⁸⁹-1

[10] Williams 17•16¹¹⁵-1

[11] Williams 17•16¹⁵³-1

[12] Williams 17•16¹⁶⁶-1

[13] Williams 17•16²⁴³-1

[14] Williams 17•16²⁹⁷-1

[15] Williams 17•16³²⁸-1

[16] Williams 17•16¹⁰⁷²-1

[17] Williams 17•16¹³²⁰-1

[18] Williams 17•16²²⁷⁵-1

[19] Williams 17•16⁵⁴¹⁹-1

[20] Williams 17•16⁶²⁰⁷-1

[21] Williams 17•16¹¹⁵³⁶-1

[22] Williams 17•16¹⁵⁵³⁷-1

[23] Williams 17•16²⁹⁴⁴⁶-1

[24] Williams 17•16⁵²⁸⁶⁶-1

[25] Williams 17•16⁷⁷⁶⁸⁶-1

[26] Williams 17•16⁷³⁶⁶⁴⁶-1

[27] Williams 17•16^1026886-1

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Riesel primes of the form 17•2ⁿ-1

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Riesel primes of the form 17•2n-1

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History

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Riesel primes of the form 17•2ⁿ-1