Proth primes of the form 26•3n+1

Reserved! This sequence is currently reserved by: Mark Rodenkirch

Current data

k , b : 26 , 3 Count : 59 Nash : 3752 Max n : 1,000,000 Date : 2024-08-19 Reserved : Mark RodenkirchMark Rodenkirch/Reserved

1, 12, 15, 17, 20, 29, 31, 32, 35, 37, 77, 95, 193, 203, 224, 296, 481, 501, 1069, 1151, 1224, 1248, 1657, 2103, 2121, 2971, 3487, 5433, 8179, 8593, 9804, 10524, 13841, 15943, 21060, 22869, 36691, 38984, 49347, 56257, 67481, 68959, 77393, 107760, 133052, 153841, 165483, 182141, 232935, 250399, 261516, 387984, 404559, 652929, 727825, 1435875, 1565545, 1700041, 1910099

Remarks :

See also Williams 26•27n+1

History

• 2024-08-19: Reserved by Mark Rodenkirch for n = 6 - 300000 only n ≡ 0 mod 3, double-check
• 2024-08-19: Reservation dropped, Paul Vanderveen
• 2021-03-07: Checked to n = 1000000, Paul Vanderveen
• 2020-12-29: Checked to n = 900000, Paul Vanderveen
• 2020-10-16: Found n = 1910099, Paul Vanderveen
• 2020-10-16: Checked to n = 810000, Paul Vanderveen
• 2020-09-14: Checked to n = 750000, Paul Vanderveen
• 2020-08-03: Found n = 1565545, Paul Vanderveen
• 2020-08-02: Checked to n = 650000, Paul Vanderveen
• 2020-07-13: Found n = 1700041, Paul Vanderveen
• 2020-07-05: Found n = 1435875, Paul Vanderveen
• 2020-07-01: Checked to n = 525000, Paul Vanderveen
• 2020-06-08: Checked to n = 400000, Paul Vanderveen
• 2020-05-24: Reserved by Paul Vanderveen
• 2020-05-22: Checked to n = 100000, Karsten Bonath
• 2006-09-24: Found n = 182141, Peter Benson
• 2006-05-02: Found n = 165483, Peter Benson
• 2005-05-02: Found n = 153841, Peter Benson
• 2004-10-22: Found n = 133052, Peter Benson
• 2004-03-09: Found n = 107760, Peter Benson
• 1998-11-21: Found n = 15943, David Hanson
• 1994: Found n = 2121, Wilfrid Keller