A090484 - OEIS

A090484

a(n) = Floor[(Exp[Prime[n]/n]-1)/Log[n]].

5, 3, 3, 4, 4, 5, 4, 5, 7, 6, 8, 8, 7, 8, 9, 10, 9, 11, 11, 10, 11, 11, 12, 14, 14, 13, 13, 12, 12, 17, 17, 17, 16, 19, 18, 19, 19, 19, 20, 20, 19, 22, 20, 20, 19, 22, 26, 26, 24, 24, 24, 23, 25, 26, 26, 27, 26, 26, 26, 24, 27, 31, 30, 29, 28, 33, 33, 35, 34, 33, 33, 35, 35, 36, 35

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,1

COMMENTS

Shannon signal power of the primes.

REFERENCES

C. E. Shannon, The Mathematical Theory of Communication, page 100.

LINKS

Table of n, a(n) for n=2..76.

MATHEMATICA

digits=200 f[n_]=Floor[(Exp[Prime[n]/n]-1)/Log[n]] a=Table[f[n], {n, 2, digits}]

CROSSREFS