this post was submitted on 20 May 2025
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Math Memes

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SpoilerMore like 99.9995%

https://artofproblemsolving.com/community/c2532359h2760821_the_emoji_problem__part_i

solution:

🍎 = 36875131794129999827197811565225474825492979968971970996283137471637224634055579
🍌 = 154476802108746166441951315019919837485664325669565431700026634898253202035277999
🍍 = 4373612677928697257861252602371390152816537558161613618621437993378423467772036

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[–] TammyTobacco@sh.itjust.works 43 points 1 year ago

The solution is easy. Blocks Community

[–] very_well_lost@lemmy.world 18 points 1 year ago* (last edited 1 year ago) (1 children)

Is this one of those problems that looks trivially easy to solve but has actually been an open problem in math for centuries and drives all who attempt it to inevitable madness?

Getting a real "Collatz" vibe from this

[–] BB84@mander.xyz 17 points 1 year ago (1 children)

There is a solution. It's just 80 digits long. I added it to the OP in the spoiler.

[–] very_well_lost@lemmy.world 8 points 1 year ago* (last edited 1 year ago) (1 children)

Rad! Are there solutions for all numbers, I wonder? Or just 4?

ETA: I found at least one solution that works for 2. (1, 1, 3)

[–] BB84@mander.xyz 2 points 1 year ago

Yeah based on the graphical description in the linked post there probably are other solutions. But I don't think it would work for all integer.

[–] ICastFist@programming.dev 10 points 1 year ago

The positive values are calories, fructose and citric acid

[–] oftheair@lemmy.blahaj.zone 8 points 1 year ago (1 children)
[–] threelonmusketeers@sh.itjust.works 1 points 1 year ago (1 children)

Is this Lemmy thread too small to contain it?

[–] oftheair@lemmy.blahaj.zone 1 points 1 year ago (1 children)

Too small to contain what?

[–] threelonmusketeers@sh.itjust.works 1 points 1 year ago* (last edited 1 year ago) (1 children)

The "truly marvelous" solution :)

Edit: Wait, was your "yes" a response to the question in the image or the question in the title?

[–] DropThePot@lemy.lol 6 points 1 year ago* (last edited 1 year ago) (1 children)

7, 14, 79 comes pretty close. 35, 132, 627 are even closer.

[–] BB84@mander.xyz 17 points 1 year ago* (last edited 1 year ago)

Have you tried 36875131794129999827197811565225474825492979968971970996283137471637224634055579, 154476802108746166441951315019919837485664325669565431700026634898253202035277999, 4373612677928697257861252602371390152816537558161613618621437993378423467772036 ?

[–] wise_pancake@lemmy.ca 4 points 1 year ago (1 children)

I’ll be honest, I cleaned up the equation into a similar format, saw it was some elliptic curve thing and said to myself β€œthis is where I’d send it to a computer”, but obviously the solution is so large I doubt it wins be easily to numerically derive.

[–] BB84@mander.xyz 2 points 1 year ago

Yeah it's beyond floating point precision range so doing it on a computer requires special care, but it's still very doable, as the linked post demonstrates!

[–] Jankatarch@lemmy.world 2 points 1 year ago (1 children)

Is rhe 5% cyborgs with builtin calculators?

[–] BB84@mander.xyz 1 points 1 year ago

yes πŸ€–