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A missed opportunity

A project log for PEAC Pisano with End-Around Carry algorithm

Add X to Y and Y to X, says the song. And carry on.

yann-guidon-ygdesYann Guidon / YGDES 05/14/2023 at 01:390 Comments

The scan of the gPEAC space is nearing 900000 so the goal to reach 1 million in about one week (as boldly stated before) is more or less achieved. Yet, by looking at the behaviour of the system, beyond the obvious flaws of the manual synchronisation of multiple computers, there is another thing that could have been done easily and provided great hindsight later : I should have displayed the length of the primary orbits. I suspect now that this could be very useful for later : I stop computation just beyond the size of a maximal orbit, but maybe it could be shorter. I need the numbers generated but not collected to create a hypothesis concerning the orbit lengths beyond the perfect and maximal orbits. 


Fortunately, it is quite easy to regenerate this list of primary orbits lengths. We already have the list of the P&M orbits, and we'll have a better sieve, Re-scanning the first million range will be fast because we can already avoid the huge orbits, as well as the sieved out ones.

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