A098085 Primes P(n)+P(n+1)+b(n) = least prime >= P(n)+P(n+1), P(i)=i-th prime, b(n) given in A098084.
5, 11, 13, 19, 29, 31, 37, 43, 53, 61, 71, 79, 89, 97, 101, 113, 127, 131, 139, 149, 157, 163, 173, 191, 199, 211, 211, 223, 223, 241, 263, 269, 277, 293, 307, 311, 331, 331, 347, 353, 367, 373, 389, 397, 397, 419, 439, 457, 457, 463, 479, 487, 499, 509, 521
Offset: 1
Examples
P(1) + P(2) = 2 + 3 = 5; least prime >= 5 = 5. P(2) + P(3) = 3 + 5 = 8; least prime > 8 = 11. P(3) + P(4) = 5 + 7 = 12; least prime > 12 = 13.
Programs
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Mathematica
f[n_] := Block[{k = 0, p = Prime[n] + Prime[n + 1]}, While[ !PrimeQ[p + k], k++ ]; p + k]; Table[ f[n], {n, 55}] (* Robert G. Wilson v, Sep 24 2004 *)
Extensions
More terms from Robert G. Wilson v, Sep 25 2004