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42 is found to be the sum of three cubes

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Re: 42 is found to be the sum of three cubes

#71

In Python >>> (-80538738812075974)**3 + 80435758145817515**3 + 12602123297335631**3 42

In bash $ echo "print((-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3)" | sed "s/\^/**/g" | python - 42

In calc:

$ calc

calc 2.12.4.1

> (-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3

        42
>

Literally pasted off the web page and verified in a couple of seconds.

Re: 42 is found to be the sum of three cubes

#72

Earlier quoted context omitted.

Interesting, I didn't even think of changing to "Forty-two".

You thought of using an obscure Unicode character before you thought of spelling it out? Well the good news is that you really do belong here on Hacker News :-)

I seemed to be focusing on replacing 42 with a visual equivalence, I even started with 42 then felt it looked quite ugly.

Re: 42 is found to be the sum of three cubes

#74
post #27

Yeah but now, what? What was learned from this? Why did we look for a solution in the first place? How is it important that a number can be a sum of three cubes?

> Yeah but now, what?

"now, what?", what?

> What was learned from this?

That 42 is the sum of three cubes.

> Why did we look for a solution in the first place?

They did. I do not believe that you were involved.

> How is it important that a number can be a sum of three cubes?

People like things for their own sake. How is it important to have sex or drink a beer? Same thing. Also math has this uncanny tendency to turn out to be useful where you least expect it. Consider the primes. For a long time people might have asked the same question you are asking here, and yet now they are central in encryption and thus the digital finance market. Could not find a more capitalistic and materialistic use if you tried.

Re: 42 is found to be the sum of three cubes

#75
post #4

Earlier quoted context omitted.

How about "Forty-two"?

Just page @dang because this is a filtering thing - https://news.ycombinator.com/newsguidelines.html If the title begins with a number or number + gratuitous adjective, we'd appreciate it if you'd crop it. E.g. translate "10 Ways To Do X" to "How To Do X," and "14 Amazing Ys" to "Ys." Exception: when the number is meaningful, e.g. "The 5 Platonic Solids."

Please don't use code formatting for quotes. It makes the text unreadable on mobile.

Re: 42 is found to be the sum of three cubes

#77

Why doesn't this evaluate in Excel? =(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 Returns 1.09785E+36

You need more precision. Try this in your browser console instead, using the new BigInt type in JavaScript:

    (-80538738812075974n)**3n + 80435758145817515n**3n + 12602123297335631n**3n

Re: 42 is found to be the sum of three cubes

#78
post #63

In Python >>> (-80538738812075974)**3 + 80435758145817515**3 + 12602123297335631**3 42

In dc/shell/bash dc -e '_80538738812075974 3 ^ 80435758145817515 3 ^ 12602123297335631 3 ^ + + p'

In SQL: SELECT (-80538738812075974::NUMERIC)^3 + 80435758145817515::NUMERIC^3 + 12602123297335631::NUMERIC^3;

Re: 42 is found to be the sum of three cubes

#79
post #5

Could someone elaborate on why this is interesting? The linked page doesn't have much context.

33 and 42 are well known as some of the most important numbers in all of mathematics, transcending multiple fields. https://en.wikipedia.org/wiki/33_(number) https://en.wikipedia.org/wiki/42_(number)

numerology is not mathematics.

Re: 42 is found to be the sum of three cubes

#80
post #75

Earlier quoted context omitted.

Just page @dang because this is a filtering thing - https://news.ycombinator.com/newsguidelines.html If the title begins with a number or number + gratuitous adjective, we'd appreciate it if you'd crop it. E.g. translate "10 Ways To Do X" to "How To Do X," and "14 Amazing Ys" to "Ys." Exception: when the number is meaningful, e.g. "The 5 Platonic Solids."

Please don't use code formatting for quotes. It makes the text unreadable on mobile.

Please don't criticize others for using features of the website you are visiting. If you bring a keyhole to view a landscape you won't get the full experience either.

Rendering pages is a matter that should be solved by the client.

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