≡ 📚 Agora location [[75]] ☆

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🫸 pushed from 👩‍🌾 bin/prime.py by @flancian 📎

[[75]] is not prime (composite). Want proof? :)

Full prime factorization: [[3]] * [[5]] * [[5]]

Factor pairs:

[[75]] = [[3]] * [[25]]

[[75]] = [[5]] * [[15]]

Proper divisors: [[3]], [[5]], [[15]], [[25]]

Primes up to 75: [[2]], [[3]], [[5]], [[7]], [[11]], [[13]], [[17]], [[19]], [[23]], [[29]], [[31]], [[37]], [[41]], [[43]], [[47]], [[53]], [[59]], [[61]], [[67]], [[71]], [[73]].

🫸 pushed from 👩‍🌾 bin/hex.py by @flancian 📎

[[75]] is not a centered hexagonal number.

The closest centered hexagonal numbers are [[61]] (index # [[5]]) and [[91]] (index # [[6]]).

First 20 centered hexagonal numbers: [[1]], [[7]], [[19]], [[37]], [[61]], [[91]], [[127]], [[169]], [[217]], [[271]], [[331]], [[397]], [[469]], [[547]], [[631]], [[721]], [[817]], [[919]], [[1027]], [[1141]].

🫸 pushed from 👩‍🌾 bin/hz.py by @flancian 📎

[[hz/75]] is closest to [[D2]] at [[75]] Hz (+37 cents).

Note class: [[D]], Octave: [[octave/2]].

🫸 pushed from 👩‍🌾 app/exec/calc.py by @agora-server 📎

[[square]]: 5625
[[square root]]: 8.6603
[[cube]]: 421875
[[cube root]]: 4.2172
[[natural log]] (ln): 4.3175
[[base-10 log]] (log10): 1.8751
[[base-2 log]] (log2): 6.2288

📜 75.myco (contribution by @flancian-betula) ☆ 📎 ≡

75

https://reb00ted.org/tech/20231208-meta-threads-data-dialogue/

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≡ 🌌 Agora context for [[75]]

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