A109565 prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 11.
5591, 8467, 9551, 9973, 12853, 14107, 15823, 19333, 20809, 22573, 25261, 33247, 34981, 38461, 38501, 39251, 45439, 52391, 58789, 76163, 81463, 91033, 93001, 93637, 101221, 103723, 105769, 106543, 113233, 113843, 116593, 118297, 124021, 128053, 128767, 137029, 156371
Offset: 1
Programs
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Mathematica
a = Flatten[Table[If[Floor[2*Mod[(Prime[n + 1] - Prime[n])*PrimePi[n]/n, 8]] == 11, Prime[n], {}], {n, 1, 4000}]]
Extensions
Name edited, offset corrected and more terms added by Amiram Eldar, Jun 02 2025