[ExI] Google LaMDA avheives enlightenment
spike at rainier66.com
spike at rainier66.com
Mon Jan 23 21:59:48 UTC 2023
.> On Behalf Of Giovanni Santostasi via extropy-chat
Subject: Re: [ExI] Google LaMDA avheives enlightenment
ChatGPT has no problem with TaxiCab number:
The smallest number that can be expressed as the sum of two cubes in three different ways is 1729. It can be expressed as the sum of the cubes of 12 and 1 (12^3 + 1^3 = 1729), as well as the cubes of 9 and 10 (9^3 + 10^3 = 1729), and as the cubes of 1 and 12 (1^3 + 12^3 = 1729). This is known as the "taxicab number" and is the smallest such number that can be expressed in multiple ways…. Giovanni
Ja Giovanni but of course there is plenty of online documentation for taxicab numbers because of the famous Ramanujan anecdote.
To find a number which we can call triple taxis, we need a little more sophisticated software. I can offer 8 of them, but I urge you to spin up some code or search online for them first.
This algorithm I derived can get us arbitrarily many triple taxis in a reasonable time (a few minutes (but the code is too large for the margin of this post.)
If no one can find any triple taxis, either by code or by search, I will post the solutions on my blog, Math Geezer, which needs some content.
spike
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