Ruud H.G. van Tol on Fri, 31 Dec 2021 01:14:17 +0100


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Re: Collatz sieving



On 2021-12-30 19:00, Ruud H.G. van Tol wrote:
On 2021-12-30 12:53, Ruud H.G. van Tol wrote:
On 2021-12-23 02:50, Ruud H.G. van Tol wrote:

Variant, and now with statistics:

? run2(2^12+1)
- - - - -
#s      : 16389 (bits)
max(c2) : 8195
next(c2): 16437
sieved  : 97.76%
took    : 12.18s
- - - - -
[...]

I imagine (sic) that these "cyclic" natures
are useful for involving complex numbers,
but I don't "feel" yet if
either the pattern-dimension
or the halving/tripling-dimension
would fit best to the imaginary side.

Good reason for me to just go and try,
and refresh my math knowledge while doing such!
The next trick I am thinking about, is to use a repeated transformation from the odd towards its first lower value (either even or odd would be fine) that has a built-in switch to “degrade” into divisions-by-1/additions-of-0 once the lower value is reached.

-- Greetings, Ruud