Posted on 09/07/2019 8:26:59 AM PDT by BenLurkin
The original problem, set in 1954 at the University of Cambridge, looked for Solutions of the Diophantine Equation x3+y3+z3=k, with k being all the numbers from one to 100.
Beyond the easily found small solutions, the problem soon became intractable as the more interesting answers—if indeed they existed—could not possibly be calculated, so vast were the numbers required.
But slowly, over many years, each value of k was eventually solved for (or proved unsolvable), thanks to sophisticated techniques and modern computers—except the last two, the most difficult of all; 33 and 42.
Professors Booker and Sutherland's solution for 42 would be found by using Charity Engine; a 'worldwide computer' that harnesses idle, unused computing power from over 500,000 home PCs to create a crowd-sourced, super-green platform made entirely from otherwise wasted capacity.
The answer, which took over a million hours of calculating to prove, is as follows:
X = -80538738812075974 Y = 80435758145817515 Z = 12602123297335631
(Excerpt) Read more at phys.org ...
Glad that we got that worked out. I will sleep much better, tonight.
“6” ... not “9”
is age related dyslexia a thing?
73.is best.
73 is the 21st prime number
73 backwards is 37
37 is the 12th prime number
12 backwards is 21 (which coincidentally)
21 is the product of 7x3
in binary 73 is a palindrome 1001001
ergo the best number!
courtesy of sheldon cooper
I don’t care about any of that. 73 is my favorite model Winchester rifle.
I guess the unstated assumption is that the values have to be whole numbers? Otherwise it could just be 1, 1 and the cube root of 40.
Also is there some reason there is only one solution? I would think there’s an undefinable number if combinations.
I just looked up Diophantine Equation and I couldn’t even understand the definition........
Oh, OK then. That makes sense, even though I don’t remember how to cube a number.
Somehow, then, "42" must be Jesus Christ.
For in him all things were created: things in heaven and on earth, visible and invisible, whether thrones or powers or rulers or authorities; all things have been created through him and for him. He is before all things, and in him all things hold together.Colossians 1:16-17.
5 x 5 x 5 = 125
5 cubed = 125
Comforting. Now I can sleep well at night.
However mathematically inclined these people are and how smart they probably think they are they probably still think that man controls the climate on the planet Earth not the sun. Let that sink in.
Oh yeah? Well I could have told them that.... if only I knew that they wanted to know. ;>)
Exactly.
All that time wasted in HS and college on algebra and trig that I’ve never had a need for —— ever.
You obviously never read Douglas Adams “Hitchhikers Guide to The Galaxy”
No, but what is the relevance to my post?
Interesting. I used the same common core techniques and came up with this answer: November’s dog.
See, now the time I spend on the internet(s) doesn't seem as wasted to me. ;^) Thanks BenLurkin.
What’s the question?
Diophantine equations, by definition, only have whole number terms.
Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.