[seqfan] Which sequence is it?

John W. Nicholson reddwarf2956 at yahoo.com
Fri Feb 10 23:27:14 CET 2012


Seqfans,

The second Chebyshev function can be seen to be related to the first by writing it as:
Note: p_n is the n-th prime.

psi(x) = sum(with p_n <= x, k*log(p_n)),

where k is the unique integer such that p_n^k ≤ x but p_n^(k+1) > x.
 
Which sequence, if any, holds the k value for each n?
 
John W. Nicholson



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