Riesel primes of the form 19401•2n-1

Current data

k , b : 19401 , 2  (sieve) Type : 3 Count : 16 Nash : 1081 Max n : 1,000,000 Date : 2023-12-07

5, 9, 131, 275, 281, 365, 383, 2133, 3705, 6575, 9299, 10089, 18335, 31353, 297509, 3086450

Remarks :

Tested to n=3086450 only even values, see Liskovets-Gallot conjectures. For even-n, also see 19401*4^n-1.

History

• 2023-12-07: Checked n = 600000 - 1000000, odd n only, Alexander Jones
• 2023-03-23: Checked n = 500000 - 600000, odd n only, Alexander Jones
• 2023-03-14: Sieve file created: n = 600000-3100000 (all n), 150000-600000 (even n only), Alexander Jones, yoyo@home
• 2022-03-31: Checked n = 300000 - 500000, odd n only, Alexander Jones
• 2022-01-10: Checked n = 150000 - 300000, odd n only, Alexander Jones
• 2021-12-22: Checked to n = 150000, Alexander Jones
• 2015-06-13: Found n = 3086450, Gary Barnes, CRUS Liskovets-Gallot
• 2015-04-29: Checked to n = 3000000 (only even n), (PRPnet port 1400), Conjectures 'R Us
• 2014-09-20: Reserved by (PRPnet port 1400), Conjectures 'R Us, for even n>2000000
• 2011-08-10: Checked to n = 2000000 (only even n), (PRPnet port 1300), Conjectures 'R Us, released
• 2011-05-13: Checked to n = 1400000 (only even n), (PRPnet port 1300), Conjectures 'R Us
• 2011-02-07: Reserved by (PRPnet port 1300), Conjectures 'R Us
• 2011-02-02: Checked to n = 1200000 (only even n), Karsten Bonath, released
• 2010-06-27: Checked to n = 1200000 (only even n), Karsten Bonath
• 2010-03-28: Checked to n = 1136000 (only even n), Karsten Bonath
• 2009-04-10: Checked to n = 1126000 (only even n), Karsten Bonath
• 2008-12-11: Checked to n = 964000 (only even n), Karsten Bonath
• 2008-06-15: Checked to n = 437000 (only even n), Karsten Bonath
• 2008-05-04: Checked to n = 385000 (only even n), Karsten Bonath
• 2008-04-05: Checked to n = 379000 (only even n), Karsten Bonath
• 2008-02-14: Checked to n = 300000 (only even n), Karsten Bonath
• 2008-01-19: Checked to n = 132000, Karsten Bonath
• 2008-01-10: Checked to n = 262578 (only even n), Jean Penné
• 2007-12-19: Reserved by Jean Penné