This reminded me of the fine structure constant α = e²/4πε₀ħc ≈ 1/137 https://en.m.wikipedia.org/wiki/Fine-structure_constant …pic.twitter.com/GHz0ZsmT0C
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This reminded me of the fine structure constant α = e²/4πε₀ħc ≈ 1/137 https://en.m.wikipedia.org/wiki/Fine-structure_constant …pic.twitter.com/GHz0ZsmT0C
It says = 1/137 
Fun, but nothing interesting going on. 1/127 is small enough that such coincidences won’t be too rare. Then you have a lot of constants to try to match so that such occurrences will invariably show up. (Also you can try many 1/x, for rather small x, to get a good one like 127.)
True. But as you said, it is fun
What’s cool about sqrt(62)?
Only that it agrees, to four decimals, with an integer multiple of 1/127...
127 = 2^7 - 1. Illuminati confirmed.
I'm sure that if you can do better by using multiples of 1/127000
This is also interesting! The Golden Ratio (why it is so irrational) - Numberphile https://youtu.be/sj8Sg8qnjOg
Coincidence? Nope, rather rough approximation. Here's square root of 5 √5 = 2.23606… ≈ 284/127 = 2.23622…
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