A392115 Numbers k such that 6*k - (greatest prime < 6*n) > (least prime > 6*n) - 6*k.

6, 11, 13, 16, 21, 26, 27, 35, 37, 46, 51, 55, 56, 61, 62, 63, 66, 68, 73, 76, 79, 81, 83, 86, 89, 90, 91, 96, 101, 102, 105, 112, 115, 118, 121, 122, 123, 125, 126, 128, 131, 134, 142, 146, 150, 151, 153, 156, 161, 165, 166, 168, 173, 178, 180, 181, 186

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Mathematica

m = 6;
u[n_] := NextPrime[m n, -1]; v[n_] := NextPrime[m n];
Select[Range[400], m*# - v[#] < u[#] - m*# &]   (* A392113 *)
Select[Range[400], m*# - v[#] == u[#] - m*# &]  (* A392114 *)
Select[Range[400], m*# - v[#] > u[#] - m*# &]   (* A392115 *)

Crossrefs

Cf. A000027, A000040, A390788, A392113, A392114.

Sequence in context: A175021 A315367 A046953 * A121765 A315368 A315369

Adjacent sequences: A392112 A392113 A392114 * A392116 A392117 A392118

Keyword

nonn

Author

Clark Kimberling, Jan 16 2026

Status

approved