2024-12-31 11:04 UTC
Replies (17)
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@appassionato@mastodon.social 2024-12-31 13:48
@pfsmet@mastodon.social Interesting 2025 1) 2025, itself is a square (45 x 45) 2) It's a product of two squares: 9² x 5² = 2025 3) It is the sum of 3-squares: 40² + 20² + 5² = 2025 4) It's the first square after 1936 (44 x 44) 5) It's the sum of cubes of all the single digits: from 1 to 9 it would be 1³+2³+3³+4³+5³+6³+7³+8³+9³= 2025. This is going to be our UNIQUE YEAR. https://albertocalva.substack.com/p/next-year-2025-is-a-mathematical #2025 #maths
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@joosteto@mamot.fr 2024-12-31 16:49
@pfsmet@mastodon.social Or for those of us who like to start counting at 0: 0³+1³+2³+3³+4³+5³+6³+7³+8³+9³=2025
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@bytebro@mastodonapp.uk 2024-12-31 17:10
@pfsmet@mastodon.social ...and as I and others found when that popped up, the sum of cubes of any sequence of consecutive integers starting from 1 is always a square. Which was new to me and a joy.
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@TomasHelleberg@mastodon.nu 2024-12-31 17:20
@pfsmet@mastodon.social also: 45² = 2025.
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@folfdk@helvede.net 2024-12-31 17:22
@pfsmet@mastodon.social 45² also works. But it's a bit boring 😅
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@lebrubru@mamot.fr 2024-12-31 18:08
@pfsmet@mastodon.social Et comme par hasard (non) c'est le carré de 45 😀
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@clot27@mastodon.social 2024-12-31 18:15
@pfsmet@mastodon.social
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@erikp@social.anoxinon.de 2024-12-31 19:16
@pfsmet@mastodon.social and: (1+2+3+4+5+6+7+8+9)^2 = 2025
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@BerndFDollinger@mastodon.social 2024-12-31 19:25
@pfsmet@mastodon.social 1) 45 x 45 or 45² 2) 9² x 5² 3) 40² + 20² + 5² 4) (1+2+3+4+5+6+7+8+9)² 5) 1³+2³+3³+4³+5³+6³+7³+8³+9³ #2025
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@ColinTheMathmo@mathstodon.xyz 2024-12-31 20:27
@pfsmet@mastodon.social For those of us on Mathstodon.... it renders LaTeX for us.
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@FaithfullJohn@mastodon.scot 2024-12-31 21:15
@pfsmet@mastodon.social sounds a bit pocalyptic... 😃
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@isonno@mastodon.social 2024-12-31 21:18
@pfsmet@mastodon.social I had to try these to believe them. sum([math.pow(i,3) for i in range(1,10)]) math.pow(sum(range(1,10)),2) Magic!
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@catselbow@fosstodon.org 2025-01-01 12:20
@pfsmet@mastodon.social Don't forget the first term: 0^3
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@xmlarbyter@social.tchncs.de 2025-01-01 12:50
@pfsmet@mastodon.social Oder länger, aber Browser-kompatibel, in #MathML: ∑ n = 1 9 n 3 = 2025 #year2025
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@ReasonableMustelid@furries.club 2025-01-01 14:51
@pfsmet@mastodon.social Happy Cube Year!
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@jan@social.eden.one 2025-01-08 18:08
@pfsmet@mastodon.social If Trump was a mathematician, I would assume he had this arranged for his Fourth Reich.
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@PypeBros@mastodon.social 2025-02-25 09:26
@pfsmet@mastodon.social is it common to have sum(N) { i³ } = (sum(N) { i })², by the way ?