A175217 The second nonprimes after the primes.
6, 6, 8, 9, 14, 15, 20, 21, 25, 32, 33, 39, 44, 45, 49, 55, 62, 63, 69, 74, 75, 81, 85, 91, 99, 104, 105, 110, 111, 115, 129, 133, 140, 141, 152, 153, 159, 165, 169, 175, 182, 183, 194, 195, 200, 201, 213, 225, 230, 231, 235, 242, 243, 253, 259, 265, 272, 273, 279
Offset: 1
Programs
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Mathematica
b[n_] := Boole[PrimeQ[n]]; a[n_] := With[{p = Prime[n]}, p + 2 + b[p + 1] + b[p + 2] + b[p + 3]]; Array[a, 59] (* Jean-François Alcover, Nov 12 2017, after Reinhard Zumkeller *)
Formula
a(n) = prime(n)+2 + A010051(prime(n)+1) + A010051(prime(n)+2) + A010051(prime(n)+3). [From Reinhard Zumkeller, Mar 29 2010]
Extensions
More terms from Reinhard Zumkeller, Mar 29 2010
Typos in data corrected by Jean-François Alcover, Nov 12 2017