A177996 For prime p=A000040(n), the smallest prime divisor of (p-1)^p+1 other than p.

41, 29, 23, 79, 354689, 1961870762757168078553, 47, 40427, 4093, 4441, 2543, 1033, 659, 181194015068926422899222020415627, 394502321, 22742387, 36583, 569, 14747, 12641, 167, 407987015619859919, 100493, 3679329001