Hello SeqFans, The sum of any pair of primes is not in the sequence S (if I'm not wrong): S=1,2,3,4,6,7,8,11,12,15,16,17,21,22, 23,27,29,33,35,37,38,41,... Similarily, the sum of any pair of non-primes is not in the sequence T: T=1,2,3,4,6,8,11,13,15,17,18,20,25,27,30,32,37,39,41,44,... Best, É.