OFFSET

1,1

COMMENTS

a(n) <= A070218(n).

If we introduce k in the name "(sum of all previous terms)/k", then cases k=1,2 correspond to A070218, A196375, and in general case, the sequence begins with k 2's, with gradually (not monotonically) decreasing multiplicity of terms; e.g., at case k=10 the sequence begins: 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 7, 7, 7, 11, 11, 11, 11, 13, 17, 17, 17, 19, 23, 23, 29, 29, 31, 37, 41.

MATHEMATICA

Nest[Append[#, NextPrime[Total[#]/2]]&, {2}, 100]

PROG

(PARI) print1(s=2); for(i=2, 99, print1(", ", t=nextprime(s/2)); s+=t) \\ Charles R Greathouse IV, Dec 31 2011

CROSSREFS

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 28 2011

STATUS

approved