A109566 prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 12.

16141, 36389, 37907, 69263, 73189, 86629, 95651, 103237, 112691, 126859, 130873, 132763, 152311, 153763, 159233, 166487, 167809, 171947, 200513, 202129, 212297, 213659, 223151, 223849, 227893, 236813, 250199, 255259, 261169, 277099, 277429, 283211, 293543, 302053

Offset

1,1

Links

Table of n, a(n) for n=1..34.

Mathematica

a = Flatten[Table[If[Floor[2*Mod[(Prime[n + 1] - Prime[n])*PrimePi[n]/n, 8]] == 12, Prime[n], {}], {n, 1, 10000}]]
Table[If[Floor[2*Mod[(Prime[n+1]-Prime[n])*PrimePi[n]/n, 8]]==12, Prime[n], Nothing], {n, 10000}] (* Harvey P. Dale, Dec 16 2024 *)

Crossrefs

Cf. A000040, A000720, A001359.

Cf. A109556-A109569 for m = 2..15.

Sequence in context: A381002 A184405 A134120 * A235244 A236872 A031843

Adjacent sequences: A109563 A109564 A109565 * A109567 A109568 A109569

Keyword

nonn,less

Author

Roger L. Bagula, Jun 27 2005

Extensions

Name edited, offset corrected and more terms added by Amiram Eldar, Jun 02 2025

Status

approved