Talk:Rare numbers: Difference between revisions

(→‎21+ digit rare numbers: response to comment)
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::To get to 22 digits, I had to use multitasking and that C# UI128 package you spotted. The performance of the UI128 package is good, only about two and a half times worse than UI64's, whereas BigInteger is around 7 to 8 times worse. The UI128 package should go up to 38 decimal digits or so. But because it takes 20 times longer for each additional pair of digits, I don't think 38 digits a possibilty with the current algorithm. I am contemplating a new algorithm that could be more efficient.
 
::Regarding the 5 21 digit rare numbers found, to prove that there are only 5, what is really needed is to prove that all 10<sup>21</sup> - 5 of the possible 10^<sup>21</sup> are _not_ rare. If the algorithm that finds 5 misses a couple, thats not a good result. I'm confident to report 5 found, but not quite absolutely sure they are the only 5 at this point in time.--[[User:Enter your username|Enter your username]] ([[User talk:Enter your username|talk]]) 03:04, 3 December 2019 (UTC)