Content pfp
Content
@
https://warpcast.com/~/channel/count
0 reply
0 recast
0 reaction
Scott Kominers pfp
Scott Kominers
@skominers
I didn't know where to put this, but then I found /count and knew what I had to do. Strap in. I catalogued 24 wild and wonderful properties of 2024 so you don't have to: 🧵 👇
7 replies
7 recasts
18 reactions
Scott Kominers pfp
Scott Kominers
@skominers
2024 = 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 is the 𝘀𝘂𝗺 𝗼𝗳 𝗲𝗶𝗴𝗵𝘁 𝗰𝗼𝗻𝘀𝗲𝗰𝘂𝘁𝗶𝘃𝗲 𝗰𝘂𝗯𝗲𝘀.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
Moreover, 2024 is the 𝘀𝘂𝗺 𝗼𝗳 𝗲𝗹𝗲𝘃𝗲𝗻 𝗰𝗼𝗻𝘀𝗲𝗰𝘂𝘁𝗶𝘃𝗲 𝗻𝗼𝗻𝗻𝗲𝗴𝗮𝘁𝗶𝘃𝗲 𝗶𝗻𝘁𝗲𝗴𝗲𝗿𝘀, 𝗯𝘂𝘁 𝗻𝗼 𝗳𝗲𝘄𝗲𝗿 (2024 = 179 + 180 + 181 + 182 + 183 + 184 + 185 + 186 + 187 + 188 + 189).
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
2024 is a 𝘁𝗲𝘁𝗿𝗮𝗵𝗲𝗱𝗿𝗮𝗹 𝗻𝘂𝗺𝗯𝗲𝗿, obtained by counting the number of balls in successively larger tetrahedral stacks. The most recent such year was 1771, and the next is 2300, followed by 2600!
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
2024 is also 𝗱𝗼𝗱𝗲𝗰𝗮𝗵𝗲𝗱𝗿𝗮𝗹; the next such is 2925, and then 4060.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
There are precisely 2024 𝘄𝗮𝘆𝘀 𝗼𝗳 𝗰𝗵𝗼𝗼𝘀𝗶𝗻𝗴 𝘁𝗵𝗿𝗲𝗲 𝗼𝗯𝗷𝗲𝗰𝘁𝘀 𝗼𝘂𝘁 𝗼𝗳 𝗮 𝘀𝗲𝘁 𝗼𝗳 𝟮𝟰. (This one you might've seen before!)
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
And there are 2024 𝘀𝗼𝗹𝘂𝘁𝗶𝗼𝗻𝘀 𝘁𝗼 𝘅^𝟮 + 𝘆^𝟮 + 𝘇^𝟮 = 𝟭 𝗺𝗼𝗱𝘂𝗹𝗼 𝟰𝟲.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
2024 is the 𝘀𝘂𝗺 𝗼𝗳 𝘁𝗵𝗲 𝗳𝗶𝗿𝘀𝘁 𝟭𝟭 𝗲𝘃𝗲𝗻 𝘀𝗾𝘂𝗮𝗿𝗲𝘀. That's also the 𝗻𝘂𝗺𝗯𝗲𝗿 𝗼𝗳 𝗽𝗼𝘀𝘀𝗶𝗯𝗹𝗲 𝗯𝗶𝘀𝗵𝗼𝗽 𝗺𝗼𝘃𝗲𝘀 𝗼𝗻 𝗮 𝟭𝟮𝘅𝟭𝟮 𝗯𝗼𝗮𝗿𝗱.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
And speaking of chess: 2024 is one of the 𝘀𝗾𝘂𝗮𝗿𝗲𝘀 𝘃𝗶𝘀𝗶𝘁𝗲𝗱 𝗯𝘆 𝗮 𝗰𝗵𝗲𝘀𝘀 𝗸𝗶𝗻𝗴 𝗺𝗼𝘃𝗶𝗻𝗴 𝗼𝗻 𝗮 𝘀𝗾𝘂𝗮𝗿𝗲-𝘀𝗽𝗶𝗿𝗮𝗹-𝗻𝘂𝗺𝗯𝗲𝗿𝗲𝗱 𝗯𝗼𝗮𝗿𝗱...
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
... with the objective of always moving to the adjacent unvisited square containing the number with the most divisors. (Believe it or not, there are only finitely many squares visited in this way – after 1113 steps, the king hits square 855481, and then stops!)
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
Plus 2024 (= 44*46) is the first year since 888 that both has 𝗮𝗹𝗹 𝗲𝘃𝗲𝗻 𝗱𝗶𝗴𝗶𝘁𝘀 𝗮𝗻𝗱 𝗰𝗮𝗻 𝗯𝗲 𝗳𝗮𝗰𝘁𝗼𝗿𝗲𝗱 𝗶𝗻𝘁𝗼 𝘁𝘄𝗼 𝗻𝘂𝗺𝗯𝗲𝗿𝘀 𝘄𝗶𝘁𝗵 𝗮𝗹𝗹 𝗲𝘃𝗲𝗻 𝗱𝗶𝗴𝗶𝘁𝘀.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
There are 2024 𝗶𝗻𝘁𝗲𝗴𝗲𝗿-𝘀𝗶𝗱𝗲𝗱 𝗾𝘂𝗮𝗱𝗿𝗶𝗹𝗮𝘁𝗲𝗿𝗮𝗹𝘀 𝘄𝗶𝘁𝗵 𝗽𝗲𝗿𝗶𝗺𝗲𝘁𝗲𝗿 𝟰𝟳 (up to rotation)...
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
... and 2024 𝗶𝗻𝘁𝗲𝗴𝗲𝗿-𝘀𝗶𝗱𝗲𝗱 𝘁𝗿𝗶𝗮𝗻𝗴𝗹𝗲𝘀 𝘄𝗶𝘁𝗵 𝘄𝗶𝘁𝗵 𝗰𝗶𝗿𝗰𝘂𝗺𝗰𝗶𝗿𝗰𝗹𝗲 𝗱𝗶𝗮𝗺𝗲𝘁𝗲𝗿 𝗮𝘁 𝗺𝗼𝘀𝘁 𝟯𝟬...
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
... and there are 44 integer-sided triangles with perimeter 46, for a total perimeter sum of – you guessed it – 2024.
1 reply
0 recast
1 reaction
Scott Kominers pfp
Scott Kominers
@skominers
2024 is the 𝗰𝗶𝗿𝗰𝘂𝗺𝗳𝗲𝗿𝗲𝗻𝗰𝗲 𝗼𝗳 𝘁𝗵𝗲 (𝟰𝟱,𝟰𝟱)-𝗸𝗻𝗶𝗴𝗵𝘁 𝗴𝗿𝗮𝗽𝗵.
1 reply
0 recast
1 reaction