📚 Agora node [[081]] ☆
🫸 pushed from 👩🌾 bin/prime.py by @flancian 📎 ⛶
[[81]] is not prime (composite): [[3]] * [[3]] * [[3]] * [[3]]
Factor pairs: [[3]] * [[27]], [[9]] * [[9]]
Prime neighborhood: [[71]], [[73]], [[79]], [[81]], [[83]], [[89]], [[97]]
Prime gap: 4 (interval [[79]] to [[83]])
Primes up to 81: [[2]], [[3]], [[5]], [[7]], [[11]], [[13]], [[17]], [[19]], [[23]], [[29]], [[31]], [[37]], [[41]], [[43]], [[47]], [[53]], [[59]], [[61]], [[67]], [[71]], [[73]], [[79]] (22 total).
🫸 pushed from 👩🌾 bin/hex.py by @flancian 📎 ⛶
[[81]] 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 📎 ⛶
🫸 pushed from 👩🌾 app/exec/calc.py by @agora-server 📎 ⛶
-
[[square]]: 6561
-
[[square root]]: 9.0000
-
[[cube]]: 531441
-
[[cube root]]: 4.3267
-
[[natural log]] (ln): 4.3944
-
[[base-10 log]] (log10): 1.9085
-
[[base-2 log]] (log2): 6.3399
✨ AI Synthesis Mistral Gemini ChatGPT Claude
Expanding this section will automatically generate an AI synthesis of the contributions in this node.