Proth primes of the form 4•7n+1

Reserved! This sequence is currently reserved by: Ryan Propper

Current data

k , b : 4 , 7 Count : 26 Nash : 3135 Max n : 300,000 Date : 2024-09-18 Reserved : Ryan PropperRyan Propper/Reserved

1, 2, 3, 6, 7, 10, 11, 17, 38, 65, 133, 150, 502, 537, 894, 6442, 16474, 23642, 40894, 94133, 101335, 135737, 224437, 254621, 266782, 1640811

Remarks :

sequence A204323 in OEIS For all even n-values 4•7n+1 is a Generalized Fermat number.

History

• 2024-09-18: Found n = 1640811, Ryan Propper
• 2024-09-17: Reserved by Ryan Propper to n = 3000000
• 2024-09-16: Checked n = 1 - 300000, Gary Barnes, double-check n = 1 - 41500, released
• 2020-07-21: Checked n = 1 - 41500, Paul Vanderveen
• 2009-12-24: Found n = 266782, Brian Lody
• 2009-12-22: Found n = 254621, Brian Lody
• 2004-03-01: Found n = 94133, Peter Benson
• 1998-11-18: Found n = 16474, David W. Linton