%I #4 Mar 29 2018 10:20:51
%S 1,2,2,2,4,2,2,2,2,2,4,2,4,2,8,4,2,8,10,10,4,2,2,2,2,4,2,10,4,8,2,4,8,
%T 2,2,4,8,2,2,2,4,4,4,8,2,2,8,4,2,4,2,2,4,4,2,8,2,8,8,10,4,2,8,4,2,2,4,
%U 2,8,2,2,10,2,4,14,2,4,2,10,2,2,14,4,2,2,32,14,2,16,10,8,2,10,8,2,2,4,4,2,4
%N Distance between k*(n-th prime) and next prime, k=3 case.
%C Other cases: k=1 A001223 Differences between consecutive primes, k=2 A059787, k=4 A111736, k=5 A111737, k=6 A111738, k=7 A111739, k=8 A111740, k=9 A111741, k=10 A111742.
%t NextPrime[3#]-3#&/@Prime[Range[100]] (* _Harvey P. Dale_, Mar 29 2018 *)
%Y Cf. A001223, A059787, A111736, A111737. A111738, A111739, A111740, A111741, A111742.
%K nonn
%O 1,2
%A _Zak Seidov_, Nov 18 2005