A111735 Distance between k*(n-th prime) and next prime, k=3 case.

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, 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, 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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..100.

Mathematica

NextPrime[3#]-3#&/@Prime[Range[100]] (* Harvey P. Dale, Mar 29 2018 *)

Crossrefs

Cf. A001223, A059787, A111736, A111737. A111738, A111739, A111740, A111741, A111742.

Sequence in context: A027389 A337539 A374324 * A211454 A242310 A102298

Adjacent sequences: A111732 A111733 A111734 * A111736 A111737 A111738

Keyword

nonn

Author

Zak Seidov, Nov 18 2005

Status

approved