OFFSET
1,1
COMMENTS
Primes that behave like Shannon entropy power white noise with n=1.
Since (2*Pi/E) is a transcendental irrational, this function is a kind of irrational rotation related function, that is: Mod[(2*Pi/E)*n,1] is an irrational rotation and these numbers are Beatty in type such that: Beatty number+ irrational rotation =n Of my experiments in white noise entropy powers N=2 gives the most primes
REFERENCES
C. E. Shannon, The Mathematical Theory of Communication, page 93
MATHEMATICA
digits=5*200 f[n_]=Floor[(2*Pi/E)*n] a=Delete[Union[Table[If [PrimeQ[f[n]]==True, f[n], 0], {n, 1, digits}]], 1]
With[{c=(2*Pi)/E}, Select[Table[Floor[c*n], {n, 400}], PrimeQ]] (* Harvey P. Dale, Mar 31 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Jan 31 2004
STATUS
approved