Proth primes of the form 66741•2n+1

Current data

k , b : 66741 , 2 Type : 3Low Count : 9 Nash : 811 Max n : 50,000 Date : 2020-07-05

5, 51, 95, 117, 237, 357, 2231, 3767, 6837

Remarks :

This k-value was proved in 2015 to be the smallest odd k ≡ 0 mod 3 for which k•2n+1 is never prime for an even n. See Liskovets-Gallot conjectures.

History

• 2020-07-05: Checked to n = 50000, Karsten Bonath