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%I #6 Mar 31 2024 17:07:09
%S 2,11,13,23,41,43,53,67,71,73,83,97,101,113,127,131,157,173,191,233,
%T 251,263,277,281,293,307,337,349,353,367,379,383,397,409,439,443,457,
%U 487,499,503,547,557,563,577,587,607,617,619,631,647,661,677,691,709,739
%N a(n) = if Floor[(2*Pi/E)*m] is prime then Floor[(2*Pi/E)*m]
%C Primes that behave like Shannon entropy power white noise with n=1.
%C 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
%D C. E. Shannon, The Mathematical Theory of Communication, page 93
%t 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]
%t With[{c=(2*Pi)/E},Select[Table[Floor[c*n],{n,400}],PrimeQ]] (* _Harvey P. Dale_, Mar 31 2024 *)
%K nonn
%O 1,1
%A _Roger L. Bagula_, Jan 31 2004
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