42

The header of the 42 video ("42 was the last remaining number below 100 which could not be expressed as the sum of three cubes") is a bit misleading, as there are numbers (for instance 4, 5, 13 and 14) that cannot be expressed this way (evident from the video, goto 0:56). The correct is that "42 was the last possible integer below 100 to be expressed as a sum of three cubes" (Wikipedia). In other words, the last number <100 for which we didn't know if there was a solution. Now we do.

The problem with 4,5… is descibed explicitely in an older video, from before the solution to 33 was found: "The Uncracked Problem with 33 - Numberphile" (https://www.youtube.com/watch?v=wymmCdLdPvM).

pibbur who wonders if his height (191) can be expressed as a sum of 3 cubes, but observes that it's (regrettably?) regarded as an odious number. Whatever that is.
 
Isn't that the same as saying (-5^3-3^3) == (-6^3 + 4^3); which means that any prefix can be used to reach the same results (i.e, 8^4 - …. == 8^4 …. ) =3944 ?

191 has some solutions - these two are nice:

191= 7^3 - 5^3 - 3^3
191= 7^3 - 6^3 + 4^3

Jörg Jahnels list
 
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yeah, you can always easily generate two solutions
beginning with 6:

6^3 - 5^3 - 3^3 = 64
6^3 - 6^3 + 4^3 = 64

7^3 - 5^3 - 3^3=191
7^3 - 6^3 + 4^3=191

8^3 - 5^3 - 3^3=360
8^3 - 6^3 + 4^3=360

...
 
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"The pair had to go large, so they enlisted the aid of the Charity Engine, an initiative that spans the globe, harnessing unused computing power from over 500,000 home PCs to act as a sort of "planetary supercomputer".

It took over a million hours of computing time...
"

pibbur who is impressed.
 
Answer=42

How many years have pibbur and the wife been married.

a pibbur who is as happy as he can be (which admittedly doesn't say much)
 
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Answer=42

How many years have pibbur and the wife been married.

a pibbur who is as happy as he can be (which admittedly doesn't say much)

In a world primarily focused on instant gratification, that is an impressive feat indeed.
Congratulations & may the remainder of years be better than the first.
 
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51mmv%2BGlfZL._SL500_AC_SS350_.jpg
 
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Great achievement. Do you now know if it is indeed the answer to live, the universe and everything?
 
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Well done, you're slightly ahead of me on that one, but I was a late bloomer!! :) Changing countries can do that to a person!! LOL
 
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Congrats Pibbur! My parents just had their 63 last week.
 
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Answer: Forty Two

What do you get when you multiply nine by six
 
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Answer=42

How many years have pibbur and the wife been married.

a pibbur who is as happy as he can be (which admittedly doesn't say much)

Congratulations so much!
 
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