Dear SeqFans. If least prime of the form (1 + k)^(2^n) + k for some k is: 3, 5, 17, 257, 65537, 795866110996400884391941, 3402823669209384634633746074317682114560000000000000000000000000000000000000000000000000000000000000039, ... then k is: 1, 1, 1, 1, 1, 5, 39, 73, 271, 16, ... next ? Thanks YOU. JSG -- .