5 ms·
I like the 4-5-6 theorem: pi^4 + pi^5 = e^6 Well, to five decimal places, anyway. Some other good ones: e^pi - pi = 20 sqrt(2) ln pi = phi Ther
by olooney 2mo ago
I like the 4-5-6 theorem:
pi^4 + pi^5 = e^6
Well, to five decimal places, anyway. Some other good ones:
e^pi - pi = 20
sqrt(2) ln pi = phi
There are also famous "almost integers" such as this one discovered by Ramanujan:
e^(pi sqrt(163))
Which is an integer to 12 decimal places.
Edit: I just remembered I have public JupyterLite notebooks for both of these:
https://notebooks.oranlooney.com/lab/index.html?path=fake_math_equalities.ipynb https://notebooks.oranlooney.com/lab/index.html?path=fake_ma...
https://notebooks.oranlooney.com/lab/index.html?path=heegner_numbers.ipynb https://notebooks.oranlooney.com/lab/index.html?path=heegner...
- dylan604 2mo ago> Which is an integer to 12 decimal places this isn't something I was expecting to read today. I guess this works with weak types? /s
- sli 2mo agoThat's why the time is Almost<T> instead of just T.
- Y_Y 2mo ago(e^pi - pi)/pi^4 ~= i^i
- vitriol83 2mo agothe Ramanujan one has some relatively high powered mathematical explanation https://en.wikipedia.org/wiki/Heegner_number https://en.wikipedia.org/wiki/Heegner_number
- exochrono 2mo agoWikipedia also notes that “Ramanjuan’s constant” was actually discovered by Charles Hermite in 1859 and it was a 1975 April Fools article in Scientific American that attributed it to Ramanujan.
- olooney 2mo agoStigler's Law of Eponymy strikes again! https://en.wikipedia.org/wiki/Stigler%27s_law_of_eponymy https://en.wikipedia.org/wiki/Stigler%27s_law_of_eponymy