A109560 prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 6.

89, 139, 181, 241, 467, 509, 619, 773, 839, 863, 953, 1409, 1831, 1847, 1933, 2113, 2221, 2251, 2593, 2803, 2861, 3121, 3373, 3391, 3433, 3643, 3803, 3889, 4159, 4373, 4423, 4463, 4603, 4703, 4733, 5059, 5209, 5483, 5987, 6011, 6229, 6451, 6529, 6581, 6619, 6803

Offset: 1

Author

Roger L. Bagula, Jun 27 2005

Keywords

• nonn
• less

Crossrefs

Cf. A000040, A000720, A001359.

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

Programs

Mathematica

a = Flatten[Table[If[Floor[2*Mod[(Prime[n + 1] - Prime[n])*PrimePi[n]/n, 8]] == 6, Prime[n], {}], {n, 1, 400}]]

Extensions

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