137 and 773

A connection between the number 137 and 773, both prime numbers !

I now show a fantastic fact about the number 137, already known to be close to the Fine Structure Constant. Adding the numbers that quantify the cells of the 6 ordinary four-dimensional regular polytopes, we get:

5 + 8 + 16 + 24 + 120 + 600 = 773

The 137th prime number is precisely 773.

Sorry, I forgot the number 600 in the document.