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Author. Coder. CTO. θηριομάχης. Building: https://t.co/otXT4Wy6WR. Writing: https://t.co/dBPBtyCIHw.


We're in a race. It's not USA vs China but humans and AGIs vs ape power centralization. @deepseek_ai stan #1, 2023–Deep Time «C’est la guerre.» ®1


I build stuff. On my way to making $1M 💰 My projects 👇

Market Design/Entrepreneurship Professor @HarvardHBS & Faculty Affiliate @Harvard Economics; Research @a16zcrypto; Editor @restatjournal; Econ @Quora; … | #QED

... And that's not all! Both 1127 and 2025 appear as accumulation sums of polygonal numbers. 1127 is the sum of the sums of the first six up-to-nonagonal numbers, and 2025 is the sum of the sums of the first nine up-to-heptagonal numbers: 1 + 3 + 6 + 10 + 15 + 21 = 56 1 + 4 + 9 + 16 + 25 + 36 = 91 1 + 5 + 12 + 22 + 35 + 51 = 126 1 + 6 + 15 + 28 + 45 + 66 = 161 1 + 7 + 18 + 34 + 55 + 81 = 196 1 + 8 + 21 + 40 + 65 + 96 = 231 1 + 9 + 24 + 46 + 75 + 111 = 266 --> 56 + 91 + 126 + 161 + 196 + 231 + 266 = 1127 1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 = 165 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 = 285 1 + 5 + 12 + 22 + 35 + 51 + 70 + 92 + 117 = 405 1 + 6 + 15 + 28 + 45 + 66 + 91 + 120 + 153 = 525 1 + 7 + 18 + 34 + 55 + 81 + 112 + 148 + 189 = 645 --> 165 + 285 + 405 + 525 + 645 = 2025

... Moreover, both 1127 and 2025 have the property that their squares can be written in the form A^4 + B^5 + C^6 for positive integers A, B, and C: 28^4 + 14^5 + 7^6 = 614656 + 537824 + 117649 = 1270129 = 1127^2 36^4 + 18^5 + 9^6 = 1679616 + 1889568 + 531441 = 4100625 = 2025^2 This is surprisingly rare – the next year whose square can be written that way is 2457, but barring any changes to the calendar, it won't happen on #Thanksgiving again until 2600.
