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Are you in the 95%? (thelemmy.club)
submitted 11 months ago* (last edited 11 months ago) by BB84@mander.xyz to c/mathmemes@lemmy.blahaj.zone

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 46 points 11 months ago

The solution is easy. Blocks Community

[-] very_well_lost@lemmy.world 21 points 11 months ago* (last edited 11 months ago)

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 19 points 11 months ago

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 11 months ago* (last edited 11 months ago)

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 10 months 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 11 points 11 months ago

The positive values are calories, fructose and citric acid

[-] oftheair@lemmy.blahaj.zone 8 points 11 months ago
[-] threelonmusketeers@sh.itjust.works 0 points 10 months ago

Is this Lemmy thread too small to contain it?

[-] oftheair@lemmy.blahaj.zone 0 points 10 months ago

Too small to contain what?

[-] threelonmusketeers@sh.itjust.works 1 points 10 months ago* (last edited 10 months ago)

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 7 points 11 months ago* (last edited 11 months ago)

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

[-] BB84@mander.xyz 19 points 11 months ago* (last edited 11 months ago)

Have you tried 36875131794129999827197811565225474825492979968971970996283137471637224634055579, 154476802108746166441951315019919837485664325669565431700026634898253202035277999, 4373612677928697257861252602371390152816537558161613618621437993378423467772036 ?

[-] wise_pancake@lemmy.ca 4 points 10 months ago

I’ll be honest, I cleaned up the equation into a similar format, saw it was some elliptic curve thing and said to myself “this 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 9 months 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 9 months ago

Is rhe 5% cyborgs with builtin calculators?

[-] BB84@mander.xyz 1 points 9 months ago
this post was submitted on 20 May 2025
41 points (87.3% liked)

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